% Encoding: windows-1252


@Article{Osterreicher1996,
  Title                    = {On a class of perimeter-type distances of probability distributions},
  Author                   = {F. {\"O}sterreicher},
  Journal                  = {Kybernetika},
  Year                     = {1996},
  Pages                    = {389-393},
  Volume                   = {32}
}

@Article{Osterreicher2003,
  Title                    = {A new class of metric divergences on probability spaces and and its statisticalapplications},
  Author                   = {F. {\"O}sterreicher and I. Vajda},
  Journal                  = {Ann. Inst. Statist. Math.},
  Year                     = {2003},
  Pages                    = {639-653},
  Volume                   = {55}
}

@Article{Osterreicher1993,
  Title                    = {Statistical Information and Discrimination},
  Author                   = {F. {\"O}sterreicher and I. Vajda},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1993},
  Number                   = {3},
  Pages                    = {1036-1039},
  Volume                   = {39}
}

@Book{Ohrstrom1989,
  Title                    = {Tidslogik Og Kunstig Intelligens},
  Author                   = {P. {\O}hrstr{\o}m},
  Publisher                = {Aalborg Universitetsforlag},
  Year                     = {1989},

  Address                  = {Aalborg}
}

@Book{Cencov1972,
  Title                    = {Statistical decision rules and optimal inference.},
  Author                   = {N. N. {\v C}encov},
  Publisher                = {Nauka},
  Year                     = {1972},

  Address                  = {Moscow},
  Note                     = {In russian, translation in "Translations of Mathematical Monographs", 53.AmericanMathematicalSociety, 1982.}
}

@Article{Cencov1968,
  author  = {N. N. {\v C}encov},
  title   = {A nonsymmetric distance between probability distributions, entropy and the{P}ythagorean theorem},
  journal = {Math. Zametki},
  year    = {1968},
  volume  = {4},
  pages   = {323-332},
  note    = {(in {R}ussian)},
}

@Article{Abe2005,
  Title                    = {Necessity of $q$-expectation value in nonextensive statistical pmechanics},
  Author                   = {S. Abe and G. B. Bagci},
  Journal                  = {Physical Review E},
  Year                     = {2005},
  Pages                    = {016139,1-5},
  Volume                   = {71}
}

@InBook{Acharyya2013,
  Title                    = {Bregman Divergences and Triangle Inequality},
  Author                   = {S. Acharyya and A. Banerjee and D. Boley},
  Chapter                  = {52},
  Pages                    = {476-484},
  Year                     = {2013},

  Booktitle                = {Proceedings of the 2013 SIAM International Conference on Data Mining},
  Doi                      = {10.1137/1.9781611972832.53},
  Eprint                   = {http://epubs.siam.org/doi/pdf/10.1137/1.9781611972832.53},
  Url                      = {http://epubs.siam.org/doi/abs/10.1137/1.9781611972832.53}
}

@Book{Aczel1975,
  Title                    = {On Measures of Information and Their Characterizations},
  Author                   = {J. Acz{\'e}l and Z. Dar{\'o}czy},
  Publisher                = {Academic Press},
  Year                     = {1975},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@Article{Ahlswede1990,
  Title                    = {On minimax estimation in presence of side information about remote data},
  Author                   = {R. Ahlswede and M. Burnashev},
  Journal                  = {Ann. Statist.},
  Year                     = {1990},
  Pages                    = {141-171},
  Volume                   = {18},

  Owner                    = {ph},
  Timestamp                = {2007.02.18}
}

@Article{Ahlswede2000,
  Title                    = {Network Information Flow},
  Author                   = {R. Ahlswede and N. Cai and S.-Y. R. Li and R. W. Yeung},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2000},
  Pages                    = {1204-1216},
  Volume                   = {IT-46}
}

@Article{Ahlswede1986,
  Title                    = {Hypothesis testing with communication constraints},
  Author                   = {R. Ahlswede and I. Csisz{\'a}r},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1986},
  Pages                    = {533-542},
  Volume                   = {32},

  Owner                    = {ph},
  Timestamp                = {2007.02.18}
}

@Article{Ahlswede1976,
  Title                    = {Bounds on conditional probabilities with applications in multiuser communication},
  Author                   = {R. Ahlswede and P. G{\'a}cs and J. K{\"o}rner},
  Journal                  = {Z. Wahrscheinlichkeitsth. verw. Gebiete},
  Year                     = {1976},
  Pages                    = {157-177},
  Volume                   = {34},

  Owner                    = {ph},
  Timestamp                = {2007.02.18}
}

@Book{Ahlswede1977,
  Title                    = {On the connection between the entropies of input and output distributions of discrete memoryless channels},
  Author                   = {R. Ahlswede and J. K{\"o}rner},
  Editor                   = {Editura Academiei Republicii Socialiste Romania},
  Publisher                = {Proceedings of the Fifth Conference on Probability Theory, 1974, Brasov, Romania},
  Year                     = {1977},

  Address                  = {Bucuresti},
  Edition                  = {13-22},
  Month                    = {The Centra of Mathematical Statistics of the Ministry of Education},
  Series                   = {B. Bereanu and M. Iosifescu and G. Popescu}
}

@Book{Ahlswede1987,
  Title                    = {Search Problems},
  Author                   = {R. Ahlswede and I. Wegener},
  Publisher                = {Wiley},
  Year                     = {1987},

  Address                  = {Chichester, U.K.},
  Note                     = {German original by Teubner, 1979}
}

@Article{Ahlswede1990a,
  Title                    = {Extremal Properties of Rate-Distortion Functions},
  Author                   = {R. F. Ahlswede},
  Journal                  = {IEEE. Trans. Inform. Theory},
  Year                     = {1990},
  Pages                    = {166-171},
  Volume                   = {36},

  Owner                    = {ph},
  Timestamp                = {2008.12.30}
}

@Misc{Alberti2008,
  Title                    = {Order Structure (Majorization) and Irreversible Processes},

  Author                   = {P. M. Alberti and B. Crell and A. Uhlmann and C. Zylka},
  HowPublished             = {Scientific Commons},
  Year                     = {2008},

  Doi                      = {10.1.1.127.8295},
  Journal                  = {ScientificCommons},
  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.04.17},
  Url                      = {http://www.scientificcommons.org/42516017}
}

@Article{Aldous1987,
  Title                    = {Strong Uniform Times and Finite Random Walks},
  Author                   = {David Aldous and Persi Diaconis},
  Journal                  = {Advances in Applied Mathematics},
  Year                     = {1987},
  Pages                    = {69--97},
  Volume                   = {8}
}

@Article{Alfers1984,
  Title                    = {A normal approximation for Beta and Gamma tail probabilities},
  Author                   = {D. Alfers and H. Dinges},
  Journal                  = {Z. Wahrscheinlichkeitstheory verw. Geb.},
  Year                     = {1984},
  Number                   = {3},
  Pages                    = {399-420},
  Volume                   = {65},

  Doi                      = {10.1007/BF00533744},
  Owner                    = {peth},
  Timestamp                = {2016.01.19}
}

@Article{Algoet1988,
  Title                    = {A Sandwich Proof of the {S}hannon-{McMillan}-{B}reiman Theorem},
  Author                   = {P. H Algoet and T. M. Cover},
  Journal                  = {Ann. Probab.},
  Year                     = {1988},
  Pages                    = {899-909},
  Volume                   = {16}
}

@Article{Ali1966,
  Title                    = {A General Class of Coefficients of Divergence of One Distribution from Another},
  Author                   = {S. M. Ali and S. D. Silvey},
  Journal                  = {J. Roy. Statist. Soc. Ser B},
  Year                     = {1966},
  Pages                    = {131-142},
  Volume                   = {28}
}

@Book{Alling1987,
  Title                    = {Foundations of Analysis over Surreal Number Fields},
  Author                   = {N. L. Alling},
  Editor                   = {L. Nachbin},
  Publisher                = {Elsevier},
  Year                     = {1987},

  Address                  = {Amsterdam},
  Series                   = {North-Holland Mathematicsl Studies},
  Volume                   = {141},

  Owner                    = {ph},
  Timestamp                = {2009.01.30}
}

@InProceedings{Amari2002,
  Title                    = {Information Geometry of statistical inference - an overview},
  Author                   = {S. Amari},
  Booktitle                = {Proceedings of 2002 IEEE Information Theory Workshop, Bangalore},
  Year                     = {2002},
  Pages                    = {86--89}
}

@Article{Amari2001,
  Title                    = {Information Geometry on Hierarchy of Probability Distributions},
  Author                   = {S.I. Amari},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2001},
  Pages                    = {1701-1711},
  Volume                   = {47}
}

@Book{Amari1985,
  Title                    = {Differential-Geometrical Methods in Statistic},
  Author                   = {S. Amari},
  Publisher                = {Springer},
  Year                     = {1985},

  Address                  = {New York}
}

@Book{Amari2000,
  Title                    = {Methods of Information Geometry},
  Author                   = {S. Amari and H Nagaoka},
  Publisher                = {Oxford University Press},
  Year                     = {2000},
  Series                   = {Translations of Mathematical monographs},
  Volume                   = {191}
}

@InProceedings{Armstrong1974,
  Title                    = {Dependency Structures of Data Base Relationships},
  Author                   = {W. W. Armstrong},
  Booktitle                = {IFIP Congress},
  Year                     = {1974},
  Pages                    = {580-583},

  Owner                    = {Ejer},
  Timestamp                = {2015.01.13}
}

@Article{Avann1968,
  Title                    = {Locally atomic upper locally distributive lattices},
  Author                   = {S. P. Avann},
  Journal                  = {Mat. Annalen},
  Year                     = {1968},
  Pages                    = {320-336},

  Owner                    = {Ejer},
  Timestamp                = {2014.09.10}
}

@Article{Babenko1962,
  Title                    = {An Inequality in the theory of {F}ourier integrals},
  Author                   = {K.I. Babenko},
  Journal                  = {Amer. Math. Soc. Transl.},
  Year                     = {1962},
  Note                     = {Ser. 2},
  Pages                    = {115-128},
  Volume                   = {44},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@InProceedings{Baer2006,
  author    = {M. B. Baer},
  title     = {R{\'e}nyi to {R}{\'e}nyi -- Source Coding under Siege},
  booktitle = {2006 IEEE International Symposium on Information Theory},
  year      = {2006},
  url       = {http://www.citebase.org/abstract?id=oai:arXiv.org:cs/0602067},
}

@Unpublished{Bagci2007,
  Title                    = {The physical meaning of {R}{\'e}nyi relative entropies},
  Author                   = {G. B. Bagci},
  Note                     = {unpublished},
  Year                     = {2007},

  Url                      = {arXiv:cond-mat/0703008v1}
}

@Book{Bahadur1981,
  Title                    = {Some Limit Theorems in Statistics},
  Author                   = {R. R. Bahadur},
  Publisher                = {SIAM},
  Year                     = {1981},

  Address                  = {Philadelphia}
}

@Article{Bahadur1960,
  Title                    = {Some approximations to the binomial distribution function},
  Author                   = {R. R. Bahadur},
  Journal                  = {Annals of mathematical statistics},
  Year                     = {1960},
  Pages                    = {43-54},
  Volume                   = {31},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.07}
}

@Article{Bahadur1960a,
  Title                    = {On deviation of the sample mean},
  Author                   = {R. R. Bahadur and R. R. Rao},
  Journal                  = {Annals of Mathematical Statistics},
  Year                     = {1960},

  Month                    = {Dec.},
  Number                   = {4},
  Pages                    = {1015-1027},
  Volume                   = {31},

  Doi                      = {10.1214/aoms/1177705674},
  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.07},
  Url                      = {http://dx.doi.org/10.1214/aoms/1177705674}
}

@PhdThesis{Baker1961,
  Title                    = {Honors thesis},
  Author                   = {K. A. Baker},
  School                   = {Harvard College},
  Year                     = {1961},
  Note                     = {Unpublished},

  Owner                    = {Ejer},
  Timestamp                = {2015.01.09}
}

@InBook{Bakry1985,
  Title                    = {Diffusions hypercontractives},
  Author                   = {D. Bakry and M. Emery},
  Pages                    = {179-206},
  Publisher                = {Springer},
  Year                     = {1985},
  Series                   = {Lect. Notes in Math.},
  Volume                   = {1123},

  Booktitle                = {S{\'e}minaire de Probabilit{\'e}s}
}

@Article{Ball2003,
  Title                    = {Entropy jumps in the presence of a spectral gap},
  Author                   = {K. Ball and F. Barthe and Assaf Naor},
  Journal                  = {Duke Math. J},
  Year                     = {2003},
  Number                   = {1},
  Pages                    = {41-63},
  Volume                   = {119}
}

@Article{Banerjee2005,
  author    = {Arindam Banerjee and Srujana Merugu and Inderjit S. Dhillon and Joydeep Ghosh},
  title     = {Clustering with {B}regman Divergences},
  journal   = {Journal of Machine Learning Research},
  year      = {2005},
  volume    = {6},
  pages     = {1705-1749},
  url       = {https://doi.org/10.1137/1.9781611972740.22},
  owner     = {ph},
  timestamp = {2007.01.04},
}

@Article{Barbour1984,
  Title                    = {On the rate of {P}oisson convergence},
  Author                   = {A. D. Barbour and P. Hall},
  Journal                  = {Math. Proc. Cambridge Philos. Soc.},
  Year                     = {1984},
  Number                   = {3},
  Pages                    = {473 - 480},
  Volume                   = {95}
}

@Book{Barbour1992,
  Title                    = {Poisson Approximation},
  Author                   = {A. D. Barbour and L. Holst and S. Janson},
  Publisher                = {Clarendon Press},
  Year                     = {1992},

  Address                  = {Oxford},
  Series                   = {Oxford Studies in Probability 2}
}

@Book{Barfod1995,
  Title                    = {50 udvalgte Ruter P{\aa} Bornholm},
  Author                   = {Jakob Barfod and Peter Harremo{\"e}s},
  Publisher                = {Dansk Bjergklub},
  Year                     = {1995},

  Address                  = {K{\o}benhavn},
  Note                     = {ISBN 87-985058-1-5},

  Owner                    = {ph},
  Timestamp                = {2007.01.16}
}

@Article{Bar-Lev2010,
  Title                    = {Jeffreys vs. {S}htarkov Distributions Asssociated with some Natural Exponential Families},
  Author                   = {S. K. Bar-Lev and D. Bshounty and P. Gr\"unwald and P. Harremo{\"e}s},
  Journal                  = {Statistical Methodology},
  Year                     = {2010},
  Pages                    = {638-643},
  Volume                   = {7},

  Doi                      = {10.1016/j.stamet.2010.06.001},
  Owner                    = {ph},
  Timestamp                = {2009.09.24},
  Url                      = {www.harremoes.dk/Peter/STAMET264.pdf}
}

@Book{Barndorff-Nielsen1978,
  Title                    = {Information and Exponential Families in Statistical Theory},
  Author                   = {Ole Barndorff-Nielsen},
  Publisher                = {John Wiley},
  Year                     = {1978},

  Address                  = {New York},

  Journal                  = {Communications and Systems}
}

@Book{Barndorff-Nielsen1973,
  Title                    = {Exponential Families and Conditioning},
  Author                   = {O. Barndorff-Nielsen},
  Publisher                = {Wiley},
  Year                     = {1973}
}

@Article{Barndorff-Nielsen1990,
  Title                    = {A Note on the Standardized Signed Log Likelihood Ratio},
  Author                   = {O. E. Barndorff-Nielsen},
  Journal                  = {Scandinavian Journal of Statistics},
  Year                     = {1990},
  Number                   = {2},
  Pages                    = {157-160},
  Volume                   = {17},

  Abstract                 = {In an earlier paper a modified form $r^{\ast}=r-r^{-1}$ log(r/u) of the signed log likelihood ratio statistic r for a one-dimensional parameter was proved to be asymptotically normal with error O(n-3/2). Here a simpler and more direct derivation of this result is presented. The new approach has the added advantage of giving a better and more explicit handle on the error term.},
  ISSN                     = {03036898, 14679469},
  Publisher                = {[Board of the Foundation of the Scandinavian Journal of Statistics, Wiley]},
  Url                      = {http://www.jstor.org/stable/4616163}
}

@Book{Barndorff-Nielsen1994,
  Title                    = {Inference and asymptotics},
  Author                   = {O. E. Barndorff-Nielsen and D. R. Cox},
  Publisher                = {Chapman and Hall},
  Year                     = {1994},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.05.04}
}

@Article{Barndorff-Nielsen1988,
  Title                    = {On the level-error after {B}artlett adjustment of the likelihood-ratio statistic},
  Author                   = {O. E. Barndorff-Nielsen and P. Hall},
  Journal                  = {Biometrika},
  Year                     = {1988},
  Number                   = {2},
  Pages                    = {374-378},
  Volume                   = {75},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.05.03}
}

@InProceedings{Barron1991,
  Title                    = {Information Theory and Martingales},
  Author                   = {A. Barron},
  Booktitle                = {Proceedings International Symposium on Information Theory, Budapest 1991},
  Year                     = {1991},

  Owner                    = {vmware},
  Timestamp                = {2006.11.16}
}

@PhdThesis{Barron1985,
  Title                    = {Logically smooth density estimation},
  Author                   = {A. Barron},
  School                   = {Stanford},
  Year                     = {1985},
  Type                     = {Ph.D. Thesis}
}

@InProceedings{Barron2000,
  Title                    = {Limits of Information, {M}arkov Chains, and Projections},
  Author                   = {A. R. Barron},
  Booktitle                = {Proceedings 2000 International Symposium on Information Theory},
  Year                     = {2000},
  Pages                    = {25}
}

@Article{Barron1989,
  Title                    = {Uniformly powerful goodness of fit tests},
  Author                   = {A. R. Barron},
  Journal                  = {Ann. Statist.},
  Year                     = {1989},
  Pages                    = {107-124},
  Volume                   = {17},

  Owner                    = {ph},
  Timestamp                = {2008.03.20}
}

@Article{Barron1986,
  Title                    = {Entropy and the Central Limit Theorem},
  Author                   = {A. R. Barron},
  Journal                  = {Annals Probab. Theory},
  Year                     = {1986},
  Number                   = {1},
  Pages                    = {336 - 342},
  Volume                   = {14}
}

@Article{Barron1985a,
  Title                    = {The strong ergodic theorem for densities: Generalized {S}hannon-{McM}illan-{B}reimantheorem},
  Author                   = {A. R. Barron},
  Journal                  = {Ann. Probab.},
  Year                     = {1985},
  Pages                    = {1292-1303},
  Volume                   = {13}
}

@Article{Barron1992,
  Title                    = {Distribution estimates consistent in total variation and in two types of information divergence},
  Author                   = {A. R. Barron and L. Gy{\"o}rfi and E. C. van der Meulen},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1992},

  Month                    = {Sept.},
  Number                   = {9},
  Pages                    = {1437-1454},
  Volume                   = {38},

  Owner                    = {ph},
  Timestamp                = {2008.03.26}
}

@Article{Barron1998,
  Title                    = {The Minimum Description Length Principle in Coding and Modeling},
  Author                   = {A. R. Barron and J. Rissanen and B. Yu},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1998},

  Month                    = {Oct.},
  Note                     = {Commemorative issue},
  Number                   = {6},
  Pages                    = {2743-2760},
  Volume                   = {44}
}

@InBook{Barthe2003,
  Title                    = {A note on simultaneous polar and {C}artesian decomposition},
  Author                   = {F. Barthe and M. Csornyei and A. Naor},
  Pages                    = {1-19},
  Publisher                = {Springer},
  Year                     = {2003},
  Series                   = {Springer Notes in Mathematics},
  Volume                   = {1807}
}

@InProceedings{Bartlett2013,
  author    = {P. Bartlett and P. Gr{\"u}nwald and P. Harremo{\"e}s and F. Hedayati and W. Kot\l{}owski},
  title     = {Horizon-Independent Optimal Prediction with Log-Loss in Exponential Families},
  booktitle = {Conference on Learning Theory (COLT 2013)},
  year      = {2013},
  month     = {12-14 June},
  pages     = {23},
  url       = {http://arxiv.org/abs/1305.4324},
  owner     = {Peter},
  timestamp = {2014.01.05},
}

@Book{Batschelet1981,
  Title                    = {Circular Statistics in Biology},
  Author                   = {E. Batschelet},
  Publisher                = {Academic Press},
  Year                     = {1981},
  Series                   = {Mathematics in Biology},

  Owner                    = {ph},
  Timestamp                = {2008.05.07}
}

@Article{Bayer1973,
  Title                    = {Quantum States with Maximum Information Entropy {I} and {II}},
  Author                   = {W. Bayer and W. Ochs},
  Journal                  = {Zeitschrift f{\"u}r Naturforschung},
  Year                     = {1973},
  Pages                    = {693-701 and 1571-1585},
  Volume                   = {28a}
}

@Article{Beckner1975,
  Title                    = {Inequalities in Fourier analysis},
  Author                   = {W. Beckner},
  Journal                  = {Ann. of Math.},
  Year                     = {1975},
  Pages                    = {159-182},
  Volume                   = {102},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Behrendt1991,
  Title                    = {Representations of locally Distributive Lattice},
  Author                   = {G. Behrendt},
  Journal                  = {Portugaliae Mathematica},
  Year                     = {1991},
  Number                   = {3},
  Pages                    = {351-355},
  Volume                   = {48},

  Owner                    = {Ejer},
  Timestamp                = {2014.09.10}
}

@Article{Beirlant2001,
  Title                    = {Large deviations of divergence measures on partitions},
  Author                   = {J. Beirlant and L. Devroye and L. Gy{\"o}rfi and I. Vajda},
  Journal                  = {J. Statist. Planning and Infer.},
  Year                     = {2001},
  Pages                    = {1-16},
  Volume                   = {93}
}

@Article{Beirlant1997,
  Title                    = {Nonparametric Entropy Estimation: An overview},
  Author                   = {J. Beirlant and E. j. Dudewicz and L. Gy{\"o}rfi and E. C. van der Meulen},
  Journal                  = {Intern. J. Math. Stat. Sci.},
  Year                     = {1997},

  Month                    = {June},
  Number                   = {1},
  Pages                    = {17 - 39},
  Volume                   = {6}
}

@Article{Bekenstein1984,
  Title                    = {Entropy content and information flow in systems with limited energy},
  Author                   = {J. D. Bekenstein},
  Journal                  = {Phyical Review D},
  Year                     = {1984},

  Month                    = {15},
  Number                   = {8},
  Pages                    = {1669--1679},
  Volume                   = {30}
}

@Article{Bekenstein1981,
  Title                    = {Universal upper bound on entropy-to-energy ratio for bounded systems},
  Author                   = {J. D. Bekenstein},
  Journal                  = {Phys. Rev. D},
  Year                     = {1981},
  Number                   = {23},
  Pages                    = {287--298},
  Volume                   = {2}
}

@Article{Bell1982,
  Title                    = {Regret in decision making under uncertainty},
  Author                   = {D. E. Bell},
  Journal                  = {Operations research},
  Year                     = {1982},
  Number                   = {5},
  Pages                    = {961-981},
  Volume                   = {30}
}

@Article{Bell1964,
  Title                    = {On the {E}instein-{P}odolsky-{R}osen Paradox},
  Author                   = {J. S. Bell},
  Journal                  = {Physics},
  Year                     = {1964},
  Note                     = {Reprinted in Wheeler \& Zurek (1983)},
  Pages                    = {195-200},
  Volume                   = {1},

  Booktitle                = {Physics}
}

@Article{Bellini2002,
  Title                    = {On the Existence of Minimax Martingale Measures},
  Author                   = {F. Bellini and M. Frittelli},
  Journal                  = {Mathematical Finance},
  Year                     = {2002},
  Pages                    = {1-21},
  Volume                   = {12}
}

@Article{Ben-Bassat1978,
  Title                    = {$f$-Entropies, Probability of Error, and Feature Selection},
  Author                   = {M. Ben-Bassat},
  Journal                  = {Information and Control},
  Year                     = {1978},
  Pages                    = {227-242},
  Volume                   = {39}
}

@Article{Ben-Bessat1978,
  Title                    = {R{\'e}nyi's entropy and the probability of error},
  Author                   = {M. Ben-Bessat and J. Raviv},
  Journal                  = {IEEE Trans Inform. Theory},
  Year                     = {1978},
  Pages                    = {324-331},
  Volume                   = {24}
}

@Book{Bennett2003,
  Title                    = {A Philosophical Guide to Conditionals},
  Author                   = {Jonathan Bennett},
  Publisher                = {Oxford University Press},
  Year                     = {2003},

  Owner                    = {ph},
  Timestamp                = {2007.01.31}
}

@Article{Berend2014,
  Title                    = {Minimum {KL}-Divergence on Complements of $L_1$ Balls},
  Author                   = {D. Berend and P. Harremo{\"e}s and A. Kontorovich},
  Journal                  = {IEEE Trans Inform. Theory},
  Year                     = {2014},

  Month                    = {June},
  Number                   = {6},
  Pages                    = {3172-3177},
  Volume                   = {60},

  Doi                      = {10.1109/TIT.2014.2301446},
  Owner                    = {Peter},
  Timestamp                = {2014.01.05},
  Url                      = {http://arxiv.org/abs/1206.6544}
}

@Book{Berg2004,
  Title                    = {Markov Chain {M}onte {C}arlo Simulations and Their Statistical Analysis},
  Author                   = {B. B. Berg},
  Publisher                = {World Scientific},
  Year                     = {2004},

  Owner                    = {ph},
  Timestamp                = {2007.09.11}
}

@Book{Berg1984,
  Title                    = {Harmonic Analysis on Semigroups},
  Author                   = {C. Berg and J. P. R. Christensen and P. Ressel},
  Publisher                = {Springer-Verlag},
  Year                     = {1984},

  Address                  = {New York}
}

@Book{Berger1985,
  Title                    = {Statistical Decision Theory and {B}ayesian Analysis},
  Author                   = {J. Berger},
  Publisher                = {Springer-Verlag},
  Year                     = {1985},

  Address                  = {New York},
  Edition                  = {revised and expanded 2nd edition},
  Series                   = {Springer Series in Statistics},

  Owner                    = {ph},
  Timestamp                = {2009.09.10}
}

@Book{Berger1971,
  Title                    = {Rate Distortion Theory: A Mathematical Basis for Data Compression},
  Author                   = {T. Berger},
  Publisher                = {Prentice-Hall},
  Year                     = {1971},

  Address                  = {Englewood, NJ}
}

@Article{Berger1971a,
  Title                    = {The Source Coding Game},
  Author                   = {T. Berger},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1971},

  Month                    = {Jan.},
  Number                   = {1},
  Pages                    = {71-76},
  Volume                   = {17}
}

@Book{Berlekamp1996,
  Title                    = {Generalized Thermography: Algorithms, Implementation, and Application to Go Endgames},
  Author                   = {E. Berlekamp and M. M{\"u}ller and B. Spight},
  Publisher                = {International Computer Science Institute},
  Year                     = {1996},

  Address                  = {Berkeley, CA},
  Note                     = {TR-96-030},

  Owner                    = {ph},
  Timestamp                = {2009.01.30}
}

@InCollection{Berlekamp1991,
  Title                    = {Introductory Overview of Mathematical Go Endgames},
  Author                   = {E. R. Berlekamp},
  Booktitle                = {Combinatorial Games},
  Publisher                = {American mathematical Society},
  Year                     = {1991},
  Editor                   = {R. K. Guy},
  Pages                    = {73-100},
  Series                   = {Proceedings in Applied Mathematics},
  Type                     = {AMS short course lecture notes},
  Volume                   = {43},

  Owner                    = {ph},
  Timestamp                = {2009.02.11}
}

@Book{Berlekamp1982,
  Title                    = {Winning Ways of your mathematical plays},
  Author                   = {E. R. Berlekamp and J. H Conway and R. K. Guy},
  Publisher                = {Academic Press},
  Year                     = {1982},
  Volume                   = {1: Games in General},

  Owner                    = {ph},
  Timestamp                = {2009.01.30}
}

@Article{Bhatt2009,
  Title                    = {A characterization of neutral elements by the exclusion of sublattices},
  Author                   = {S. Parameshwara Bhatta},
  Journal                  = {Discrete Mathematics},
  Year                     = {2009},
  Pages                    = {1691-1702},
  Volume                   = {309},

  Owner                    = {Ejer},
  Timestamp                = {2015.03.21}
}

@Article{Bhattacharya2005,
  Title                    = {Large Sample Theory of Intrinsic and Extinsic Sample Means on Manifolds - {II}},
  Author                   = {B. Bhattacharya and V. Patrangenaru},
  Journal                  = {The Annals of Statistics},
  Year                     = {2005},
  Number                   = {3},
  Pages                    = {1225-1259},
  Volume                   = {33},

  Doi                      = {10.1214/009053605000000093},
  Owner                    = {ph},
  Timestamp                = {2009.11.09}
}

@Article{Bialynicki-Birula2006,
  Title                    = {Formulation of the uncertainty relations in terms of the {R{\'e}}nyi entropies},
  Author                   = {I. Bialynicki-Birula},
  Journal                  = {Physical Rivew A},
  Year                     = {2006},

  Month                    = {Nov.},
  Note                     = {Article 052101},
  Number                   = {5},
  Pages                    = {76},
  Volume                   = {74},

  Owner                    = {ph},
  Timestamp                = {2008.03.04}
}

@Article{Bialynicky-Birula1975,
  Title                    = {Relations for Information Entropy in Wave Mechanics},
  Author                   = {I. Bialynicky-Birula and J. Mycielski},
  Journal                  = {Commun. Math. Phys.},
  Year                     = {1975},
  Pages                    = {129-132},
  Volume                   = {44},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Book{Bichel1971,
  Title                    = {Mathematical Statistics: Basic Ideas and Selected Topics},
  Author                   = {P. J. Bichel and Doksum},
  Publisher                = {Holden-Day},
  Year                     = {1971},

  Address                  = {San Francisco}
}

@Article{Bickel1981,
  Title                    = {Some asymptotic theory for the bootstrap},
  Author                   = {P. J. Bickel and D. A. Freedman},
  Journal                  = {Ann. Stat.},
  Year                     = {1981},
  Pages                    = {1196-1217},
  Volume                   = {9},

  Owner                    = {ph},
  Timestamp                = {2007.01.18}
}

@InCollection{Bickel1980,
  Title                    = {On a theorem of {H}oeffding},
  Author                   = {P. J. Bickel and W. R. van Zwet},
  Year                     = {1980}
}

@Book{Billingsley1979,
  Title                    = {Probability and Measure},
  Author                   = {Patrick Billingsley},
  Publisher                = {John Wiley and Sons},
  Year                     = {1979},

  Address                  = {New York, Toronto, London},

  Owner                    = {ph},
  Timestamp                = {2007.01.12}
}

@Book{Billingsley1968,
  Title                    = {Convergence of probability Measures},
  Author                   = {P. Billingsley},
  Publisher                = {Wiley},
  Year                     = {1968},

  Address                  = {New York}
}

@Book{Billingsley1965,
  Title                    = {Ergodic Theory and Information},
  Author                   = {P. Billingsley},
  Publisher                = {Wiley},
  Year                     = {1965},

  Address                  = {New York}
}

@Article{Birge1983,
  Title                    = {Approximation dans les espaces m{\'e}triques et theorie de l'estimation},
  Author                   = {L. Birg{\'e}},
  Journal                  = {Z.\ Wahrscheinlichkeitstheorie verw.Geb.},
  Year                     = {1983},
  Pages                    = {181-237},
  Volume                   = {65}
}

@Article{BirgeMassart93,
  Title                    = {Rates of convergence for minimum contrast estimator},
  Author                   = {L. Birg{\'e} and P. Massart},
  Journal                  = {Probab.\ Theory Relat.\ Fields},
  Year                     = {1993},
  Pages                    = {113-150},
  Volume                   = {97}
}

@Book{Birkhoff1991,
  Title                    = {Lattice Theory},
  Author                   = {Garrett Birkhoff},
  Publisher                = {American Mathematical Society},
  Year                     = {1991},
  Note                     = {Reprint},
  Series                   = {Colloquium Publications},
  Volume                   = {25},

  Owner                    = {ph},
  Timestamp                = {2008.12.05}
}

@Article{Birkhoff1931,
  Title                    = {Proof of the ergodic theorem},
  Author                   = {G. D. Birkhoff},
  Journal                  = {Proc. Nat. Acad. Sci. U.S.A.},
  Year                     = {1931},
  Pages                    = {656-660},
  Volume                   = {17}
}

@Article{Blachman1965,
  Title                    = {The Convolution Inequality for Entropy Powers},
  Author                   = {N. M. Blachman},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1965},

  Month                    = {April},
  Pages                    = {267 - 271},
  Volume                   = {IT-11}
}

@Article{Blackwell1959,
  Title                    = {The probability in the extreme tail of a convolution},
  Author                   = {D. Blackwell and J. L. Hodges},
  Journal                  = {Ann. Math. Stat.},
  Year                     = {1959},
  Pages                    = {1113-1120},
  Volume                   = {30},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.04.03}
}

@Book{Blahut1987,
  Title                    = {Principles and Practice of Information Theory},
  Author                   = {R. E. Blahut},
  Publisher                = {Addison-Wesley},
  Year                     = {1987},

  Address                  = {Reading, MA}
}

@Article{Blahut1972,
  Title                    = {Computation of Channel Capacity and Rate-Distortion Functions},
  Author                   = {R. E. Blahut},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1972},
  Pages                    = {460-473},
  Volume                   = {18}
}

@Book{Blalock1971,
  Title                    = {Causal Models in the Social Sciences},
  Author                   = {H. M. Blalock},
  Publisher                = {Macmillan},
  Year                     = {1971},

  Address                  = {London}
}

@Article{Blundo1996,
  Title                    = {New Bounds on the expected Length of One-to-One Codes},
  Author                   = {C. Blundo and R. De Prisco},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1996},

  Month                    = {Jan.},
  Number                   = {1},
  Pages                    = {246-250},
  Volume                   = {42}
}

@InProceedings{Boekee1977,
  Title                    = {An Extension of the {F}isher Information Measure},
  Author                   = {D. E. Boekee},
  Booktitle                = {Topics in Information Theory},
  Year                     = {1977},
  Editor                   = {I. Csisz{\'a}r and P. Elias},
  Pages                    = {493--519},
  Publisher                = {J{\'a}nos Bolyai Mathematical Society and North-Holland},
  Series                   = {Colloquia Mathematica Societatis J{\'a}nos Bolyai},
  Volume                   = {16}
}

@Article{Boekee1980,
  Title                    = {The $R$-Norm Information Measure},
  Author                   = {D. E. Boekee and J. C. A. van der Lubbe},
  Journal                  = {Information and Control},
  Year                     = {1980},
  Pages                    = {136-155},
  Volume                   = {45}
}

@Article{Boekee1979,
  Title                    = {Some aspects of error bounds in feature selection},
  Author                   = {D. E. Boekee and J. C. A. van der Lubbe},
  Journal                  = {Pattern Recognition},
  Year                     = {1979},
  Pages                    = {353-360},
  Volume                   = {11}
}

@Article{Bohr1919,
  Title                    = {Zur {T}heorie der allgemeinen {D}irichletschen {R}eihen.},
  Author                   = {H. Bohr},
  Journal                  = {Math. Ann.},
  Year                     = {1919},
  Pages                    = {136-156},
  Volume                   = {79}
}

@Article{Boltyanski2001,
  Title                    = {Carath�odory's Theorem and {H}-Convexity},
  Author                   = {V. Boltyanski and H. Martini},
  Journal                  = {Journal of Combinatorial Theory, Series A},
  Year                     = {2001},
  Number                   = {2},
  Pages                    = {292 - 309},
  Volume                   = {93},

  Doi                      = {DOI: 10.1006/jcta.2000.3080},
  ISSN                     = {0097-3165},
  Keywords                 = {Carath�odory's Theorem; convex hull; H-convexity; functional md},
  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.04.03},
  Url                      = {http://www.sciencedirect.com/science/article/B6WHS-45816N1-2G/2/5da9f774ad907a72cff981f84726942c}
}

@Article{Bolzmann1877,
  Title                    = {Beziehung zwichen dem zweite {H}aupsatze der mechanischen W{\"a}rmetheorie unddieWahrscheinlichkeitsrechnungrespective den S{\"a}tzen uber das Warmegleicgewicht},
  Author                   = {L. Bolzmann},
  Journal                  = {Wien. Berlin},
  Year                     = {1877},
  Pages                    = {373-435},
  Volume                   = {76}
}

@Book{Bonevac2003,
  Title                    = {Deduction, Introductory Symbolic Logic},
  Author                   = {D. Bonevac},
  Publisher                = {Blackwell Publishers},
  Year                     = {2003},
  Edition                  = {2nd ed.},

  Owner                    = {ph},
  Timestamp                = {2007.01.31}
}

@Article{Borges1998,
  Title                    = {A family of nonextensive entropies},
  Author                   = {E. P. Borges and I. Roditi},
  Journal                  = {Physics Letters A},
  Year                     = {1998},
  Pages                    = {399--402},
  Volume                   = {246}
}

@Book{Borges1969,
  Title                    = {Fiktioner},
  Author                   = {J. L. Borges},
  Publisher                = {Rhodos},
  Year                     = {1969},
  Note                     = {In Danish by E. D. Jensen from 1941 original: Ficciones}
}

@Book{Borovkov1998,
  Title                    = {Probability Theory},
  Author                   = {A. A. Borovkov},
  Publisher                = {Gordon and Breach Science Publishers},
  Year                     = {1998}
}

@Book{Borovkov1986,
  Title                    = {Theory of Probability},
  Author                   = {A. A. Borovkov},
  Publisher                = {Nauka},
  Year                     = {1986},

  Address                  = {Moskva},
  Edition                  = {2nd}
}

@Book{Borovkov1976,
  Title                    = {Wahrscheinlichkeitstheorie},
  Author                   = {A. A. Borovkov},
  Publisher                = {Birkh{\"a}user},
  Year                     = {1976},

  Address                  = {Basel-Stuttgart},
  Edition                  = {1st}
}

@Article{Bouton1902,
  Title                    = {Nim, a game with a complete mathematical theory},
  Author                   = {C. L. Bouton},
  Journal                  = {Annals of Mathematics},
  Year                     = {1902},
  Pages                    = {35-39},
  Volume                   = {3},

  Owner                    = {ph},
  Timestamp                = {2009.01.30}
}

@Article{Braunstein1988,
  Title                    = {Informatio-Theoretic {B}ell Inequalities},
  Author                   = {S. L. Braunstein and C. M. Caves},
  Journal                  = {Phys. Rev. Lett.},
  Year                     = {1988},
  Pages                    = {662-665},
  Volume                   = {6}
}

@Article{Bregman1967,
  author  = {L. M. Bregman},
  title   = {The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming},
  journal = {USSR Comput. Math. and Math. Phys.},
  year    = {1967},
  volume  = {7},
  pages   = {200-217},
  note    = {Translated from Russian},
}

@Unpublished{Breyer1999,
  Title                    = {Quasistationarity and the Relative Entropy of Probability Measures},
  Author                   = {L. A. Breyer},
  Note                     = {Preprint},
  Year                     = {1999}
}

@Book{Brezinski1991,
  Title                    = {History of Continued Fractions and {P}ad{\'e} Approximants},
  Author                   = {C. Brezinski},
  Publisher                = {Springer},
  Year                     = {1991},

  Address                  = {Berlin, Heidelberg}
}

@Article{Briet2009,
  Title                    = {Properties of Classical and Quantum {J}ensen-{S}hannon Divergence},
  Author                   = {J. Bri{\"e}t and P. Harremo{\"e}s},
  Journal                  = {Physical Review A},
  Year                     = {2009},

  Month                    = {May},
  Number                   = {5},
  Pages                    = {052311 (11 pages)},
  Volume                   = {79},

  Doi                      = {10.1103/PhysRevA.79.052311},
  File                     = {QJSD.pdf:www.harremoes.dk/Peter/QJSD.pdf:PDF},
  Owner                    = {ph},
  Timestamp                = {2008.06.25},
  Url                      = {http://arxiv.org/abs/0806.4472}
}

@Article{Broom2002,
  Title                    = {Using Game Theory to Model the Evolution of Information: An IllustrativeGame},
  Author                   = {M. Broom},
  Journal                  = {Entropy},
  Year                     = {2002},
  Note                     = {ONLINE at http://www.unibas.ch/mdpi/entropy/},
  Pages                    = {35-46},
  Volume                   = {4}
}

@InCollection{Bross1971,
  Title                    = {Critical Levels, Statistical Language and Scientific Inference},
  Author                   = {I. D. J. Bross},
  Booktitle                = {Foundations of Statistical Inference},
  Publisher                = {Holt, Rinehart \& Winston of Canada, Ltd.},
  Year                     = {1971},

  Address                  = {Toronto},
  Editor                   = {V. P. Godambe and Sprott},

  Owner                    = {ph},
  Timestamp                = {2006.12.04}
}

@InCollection{Brown1982,
  Title                    = {A Proof of th Central Limit Theorem motivated by the {C}ramer-{R}ao Inequality},
  Author                   = {L. D. Brown},
  Booktitle                = {Statistics and Probability: Essays in Honor of C. R. Rao},
  Publisher                = {North-Holland},
  Year                     = {1982},
  Editor                   = {I. Kallianpur and P. R. Krishnaiah and J. K. Ghosh},
  Pages                    = {141 - 148}
}

@Book{Bugge1795,
  Title                    = {De f{\o}rste {G}runde til {R}egning, {G}eometrie, {P}lan-{T}rigonometrie og {L}andmaaling},
  Author                   = {T. Bugge},
  Publisher                = {S. Poulsens Forlag},
  Year                     = {1795},

  Address                  = {Copenhagen},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.21}
}

@Article{Burbea1982,
  Title                    = {On the convexity of some divergence measures based on entropy functions},
  Author                   = {J. Burbea and C. R. Rao},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1982},
  Pages                    = {489-495},
  Volume                   = {28},

  Owner                    = {ph},
  Timestamp                = {2007.01.04}
}

@Article{Byrne1993,
  Title                    = {Iterative image reconstruction algorithms based on cross-entropy minimization},
  Author                   = {Byrne, C.L.},
  Journal                  = {Image Processing, IEEE Transactions on},
  Year                     = {1993},

  Month                    = {Jan.},
  Number                   = {1},
  Pages                    = {96--103},
  Volume                   = {2},

  Doi                      = {10.1109/83.210869},
  Owner                    = {ph},
  Timestamp                = {2007.02.18}
}

@PhdThesis{Cachin1997,
  Title                    = {Entropy Measures and Unconditional Security in Cryptography},
  Author                   = {C. Cachin},
  School                   = {ETH Zurich},
  Year                     = {1997},
  Month                    = {May},
  Type                     = {PhD thesis},

  Owner                    = {ph},
  Timestamp                = {2008.02.27},
  Url                      = {ftp://ftp.inf.ethz.ch/pub/publications/dissertations/th12187.ps.gz}
}

@InCollection{Cambell1951,
  Title                    = {Is "Freewill" a Pseudo-Problem?},
  Author                   = {C. A. Cambell},
  Booktitle                = {Freewill and Determinism},
  Year                     = {1951},
  Editor                   = {Bernard Berofsky}
}

@InCollection{Cambell1957,
  Title                    = {Free Will Rules Out Determinism},
  Author                   = {C. A. Cambell},
  Booktitle                = {The Problems of Philosophy: Introductory Reding},
  Publisher                = {Allyn \& Bacon},
  Year                     = {1957},

  Address                  = {Bosten},
  Note                     = {Published 1974}
}

@Electronic{Campbell2010,
  Title                    = {Two-by-two tables},
  Author                   = {I. Campbell},
  Month                    = {January},
  Note                     = {Website with updated results},
  Url                      = {http://www.iancampbell.co.uk/twobytwo/results.htm#top},
  Year                     = {2010},

  Owner                    = {Ejer},
  Timestamp                = {2014.04.26}
}

@Article{Campbell2007,
  Title                    = {Chi-squared and {F}isher-{I}rwin tests of two-by-two tables with small sample recommendations},
  Author                   = {I. Campbell},
  Journal                  = {Statist. Med.},
  Year                     = {2007},
  Pages                    = {3661-3675},
  Volume                   = {26},

  Owner                    = {Ejer},
  Timestamp                = {2014.02.04}
}

@Article{Campbell1965,
  Title                    = {A coding theorem and {R}{\'e}nyi's entropy},
  Author                   = {L. L. Campbell},
  Journal                  = {Informat. Contr.},
  Year                     = {1965},
  Number                   = {4},
  Pages                    = {423-429},
  Volume                   = {8}
}

@Article{Cantor1897,
  Title                    = {Beitrage zur {B}egrundung der transfiniten {M}engenlehre. {II}},
  Author                   = {G. Cantor},
  Journal                  = {Mathematische Annalen},
  Year                     = {1897},
  Pages                    = {207-­246},
  Volume                   = {49},

  Owner                    = {ph},
  Timestamp                = {2009.04.22}
}

@Article{Carleson1966,
  Title                    = {On convergence and groth of partial sums of {F}ourier series},
  Author                   = {L. Carleson},
  Journal                  = {Acta Math.},
  Year                     = {1966},
  Pages                    = {135-157},
  Volume                   = {116},

  Owner                    = {ph},
  Timestamp                = {2008.01.07}
}

@Article{Carlitz1962,
  Title                    = {The product of several {H}ermite or {L}aguerre polynomials},
  Author                   = {L. Carlitz},
  Journal                  = {Monatshefte f\"ur Mathematik},
  Year                     = {1962},

  Month                    = {Oct.},
  Number                   = {5},
  Pages                    = {393-396},
  Volume                   = {66},

  Doi                      = {10.1007/BF01298234},
  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.03.29}
}

@Book{Carroll1956,
  Title                    = {Languare, Thought, and Reality: Selected Writings of Benjamin Lee Whorf},
  Author                   = {J. B. Carroll},
  Publisher                = {MIT Press},
  Year                     = {1956},

  Address                  = {Cambridge, Mass.},
  Note                     = {6th paperback ed. 1871}
}

@Article{Carruthers1968,
  Title                    = {Phase and Angle Variables in Quantum Mechanics},
  Author                   = {P. Carruthers and M.M. Nieto},
  Journal                  = {Rev. Mod. Phys.},
  Year                     = {1968},

  Month                    = {April},
  Number                   = {2},
  Pages                    = {411-440},
  Volume                   = {40},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Caspard2003,
  Title                    = {The lattices of closure systems, closure operators, and implicational systems on a finite set: a survey},
  Author                   = {Caspard, Nathalie and Monjardet, Bernard},
  Journal                  = {Discrete Applied Mathematics},
  Year                     = {2003},
  Number                   = {2},
  Pages                    = {241-269},
  Volume                   = {127},

  Owner                    = {Ejer},
  Timestamp                = {2014.09.10}
}

@Book{Cencov2000,
  Title                    = {Statistical Decision Rules and Optimal Inference},
  Author                   = {N. N. Cencov},
  Publisher                = {American Mathematical Society},
  Year                     = {2000},

  Owner                    = {Ejer},
  Timestamp                = {2015.06.28}
}

@InProceedings{Chan2007,
  author     = {T. H. Chan},
  title      = {Group characterizable entropy functions},
  booktitle  = {2007 IEEE International Symposium on Information Theory},
  year       = {2007},
  eventtitle = {ISIT2007},
  pages      = {506-510},
  owner      = {peth},
  timestamp  = {2015.01.23},
}

@Article{Chan2002,
  Title                    = {On a Relation between Information Inequalities and Group Theory},
  Author                   = {T. H. Chan and R. W. Yeung},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2002},
  Number                   = {7},
  Pages                    = {1992-1995},
  Volume                   = {48},

  Doi                      = {10.1109/TIT.2002.1013138},
  Owner                    = {peth},
  Timestamp                = {2015.01.23}
}

@Unpublished{Chartrand2005,
  Title                    = {A gradient descent solution to the {M}onge-{K}antorovich problem},
  Author                   = {Rick Chartrand and Kevin Vixie and Brendt Wohlberg and Erik Bollt},
  Note                     = {Preprint: LA-UR-04-6305},
  Year                     = {2005},

  Owner                    = {ph},
  Timestamp                = {2008.03.18},
  Urlpdf                   = {http://math.lanl.gov/Research/Publications/Docs/chartrand-2005-monge.pdf}
}

@InCollection{Chechik2004,
  Title                    = {Information Bottleneck for {G}aussian Variables},
  Author                   = {Gal Chechik and Amir Globerson and Naftali Tishby and Yair Weiss},
  Booktitle                = {Advances in Neural Information Processing Systems 16},
  Publisher                = {MIT Press},
  Year                     = {2004},

  Address                  = {Cambridge, MA},
  Editor                   = {Sebastian Thrun and Lawrence Saul and Bernhard {Sch{\"o}lkopf}},

  Keywords                 = {information bottleneck, Gaussian processes, canonical correlations, dimensionalityreduction},
  Owner                    = {ph},
  Timestamp                = {2007.01.07}
}

@Article{Chen1986,
  Title                    = {Bounds for the Difference between Median and Mean of {G}amma and {P}oisson Distributions},
  Author                   = {J. Chen and H. Rubin},
  Journal                  = {Statistics and Probability Letters},
  Year                     = {1986},
  Pages                    = {281-283},
  Volume                   = {4},

  Owner                    = {Peter Harremoes},
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}

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  Month                    = {12},
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  Address                  = {New York}
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  Title                    = {On the Ration of Binomial and {P}oisson Probability Distributions},
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  Year                     = {1995},
  Month                    = {Marts},
  Number                   = {7},
  Type                     = {Preprint}
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  Pages                    = {1-36},
  Volume                   = {64},

  Owner                    = {ph},
  Timestamp                = {2009.01.30}
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  Volume                   = {25},

  Owner                    = {Peter},
  Timestamp                = {2014.01.23}
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  Year                     = {2002},
  Pages                    = {933-938},
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  Year                     = {1993},
  Pages                    = {251-259},
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  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.04.16}
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@Book{Colignatus2011,
  Title                    = {Conquest of the Plane},
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  Publisher                = {Consultancy \& Econometrics},
  Year                     = {2011},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.03.03},
  Url                      = {http://www.dataweb.nl/~cool/}
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@Book{Colignatus2008,
  Title                    = {Trigonometry reconsidered. Measuring angles in unit meter around and using the unit radius functions Xur and Yur},
  Author                   = {T. Colignatus},
  Publisher                = {T. Colignatus},
  Year                     = {2008},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.03.03},
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@Book{Collinwood1940,
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  Publisher                = {Clarendon Press},
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  Pages                    = {791-799},
  Volume                   = {15},

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@Book{Conway1990,
  Title                    = {A Course in Functional Analysis},
  Author                   = {J. Conway},
  Publisher                = {Springer-Verlag},
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  Address                  = {New York}
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@Book{Conway1976,
  Title                    = {On Numbers and Games},
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  Owner                    = {ph},
  Timestamp                = {2009.01.30}
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@Article{Coren2002,
  Title                    = {Comments on "A Law of Information Growth"},
  Author                   = {Coren, Richard L.},
  Journal                  = {Entropy},
  Year                     = {2002},
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  Pages                    = {32--34},
  Volume                   = {4},

  Doi                      = {10.3390/e4010032},
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@InProceedings{Costa2002,
  Title                    = {A characterization of the Multivariate Distributions Maximizing {R}{\'e}nyiEntropy},
  Author                   = {J. A. Costa and A. O. Hero III and C. Vignat},
  Booktitle                = {Proceedings 2002 IEEE International Symposium on Information Theory},
  Year                     = {2002},
  Month                    = {30/6-5/7},
  Organization             = {IEEE Information Theory Society},
  Pages                    = {263}
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@InBook{Costa2003,
  Title                    = {On solutions to multivariate maximum $\alpha$-entropy problems},
  Author                   = {J. Costa and A. Hero and C. Vignat},
  Pages                    = {211-228},
  Publisher                = {Springer},
  Year                     = {2003},

  Address                  = {Berlin},
  Series                   = {Lecture Notes in Computer Science},
  Volume                   = {2688}
}

@Article{Costa1984,
  Title                    = {On the similarity of the entropy power inequality and the {B}runn-{M}inkowskiinequality},
  Author                   = {M. Costa and T. M. Cover},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1984},
  Pages                    = {837-839},
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  Title                    = {A New Entropy Power Inequality},
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  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1985},

  Month                    = {Nov.},
  Number                   = {6},
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  author  = {T. Cover},
  title   = {An algorithm for for maximizing expected log investment return},
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@Book{Cover1991,
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@Article{Cover2002,
  Title                    = {Duality Between Channel Capasity and Rate Distortion With Two-Sided State Information},
  Author                   = {T. M. Cover and M. Chiang},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2002},

  Month                    = {June},
  Number                   = {6},
  Pages                    = {1629-1638},
  Volume                   = {48}
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@Article{Cramer1938,
  Title                    = {Sur un nouveau th\'{e}or\`{e}me-limite de la th\'{e}orie des probabilit\'{e}s},
  Author                   = {H. Cram\'{e}r},
  Journal                  = {Actualit\'{e}s Scientifiques et Industrielles},
  Year                     = {1938},
  Number                   = {Number 736, Hermann C$^{ie}$, Paris},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.04.03}
}

@Article{Crooks2007,
  Title                    = {Measuring thermodynamic length},
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  Year                     = {2007},
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@Article{Csiszar2002,
  Title                    = {Large-Scale Typicality of {M}arkov Sample Paths and Consistency of {MDL}OrderEstimators},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2002},

  Month                    = {June},
  Number                   = {6},
  Pages                    = {1616-1628},
  Volume                   = {48}
}

@Article{Csiszar1998,
  Title                    = {The Method of Types},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1998},

  Month                    = {Oct.},
  Number                   = {6},
  Pages                    = {2505 - 2523},
  Volume                   = {44},

  Booktitle                = {Commemorative Issue 1948 - 1998}
}

@Article{Csiszar1995,
  Title                    = {Generalized Cutoff Rates and {R}{\'e}nyi Information Measures},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1995},

  Month                    = {Jan.},
  Number                   = {1},
  Pages                    = {26-34},
  Volume                   = {41}
}

@Article{Csiszar1995a,
  Title                    = {Generalized projections for non-negative functions},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {Acta Math. Hungar.},
  Year                     = {1995},
  Pages                    = {161-185},
  Volume                   = {68}
}

@Article{Csiszar1991,
  author  = {I. Csisz{\'a}r},
  title   = {Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems},
  year    = {1991},
  volume  = {19},
  number  = {4},
  month   = {Dec.},
  pages   = {2032-2066},
  journal = {Ann. Stat.},
}

@Article{Csiszar1989,
  author  = {I. Csisz{\'a}r},
  title   = {A geometric interpretation of {D}arroch and {R}atcliff 's generalized iterative scaling},
  year    = {1989},
  volume  = {17},
  pages   = {1409-1413},
  journal = {Ann. Statist.},
}

@Article{Csiszar1984,
  Title                    = {Sanov Property, Generalized {I}-Projection and a Conditional Limit Theorem},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {Ann. Probab.},
  Year                     = {1984},
  Pages                    = {768-793},
  Volume                   = {12}
}

@Article{Csiszar1975,
  Title                    = {I-Divergence Geometry of Probability Distributions and Minimization Problems},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {Ann. Probab.},
  Year                     = {1975},
  Pages                    = {146-158},
  Volume                   = {3}
}

@Article{Csiszar1972,
  Title                    = {A class of measures of informativity of observation channels},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {Period. Math. Hungar.},
  Year                     = {1972},
  Pages                    = {191-213},
  Volume                   = {2}
}

@Article{Csiszar1967,
  Title                    = {Information-type measures of difference of probability distributions and indirect observations},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {Studia Sci. Math. Hungar.},
  Year                     = {1967},
  Pages                    = {299-318},
  Volume                   = {2}
}

@Article{Csiszar1967a,
  Title                    = {On Topological Properties of {F}-Divergences},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {Studia Sci. Math. Hungar.},
  Year                     = {1967},
  Pages                    = {329-339},
  Volume                   = {2}
}

@Article{Csiszar1966,
  Title                    = {A Note on {J}ensen's Inequality},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {Studia Sci. Math. Hungar.},
  Year                     = {1966},
  Pages                    = {185-188},
  Volume                   = {1}
}

@Article{Csiszar1964,
  Title                    = {A note on limiting distributions on topological groups},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {Magyar Tud. Akad. Math. Kutal{\'o} Int. Kolzl.},
  Year                     = {1964},
  Pages                    = {595-598},
  Volume                   = {9}
}

@InProceedings{Csiszar1964a,
  Title                    = {{\"U}ber Topologische und Metrische {E}igenscaften der Relativen {I}nformation der{O}rdnung alpha .},
  Author                   = {I. Csisz{\'a}r},
  Booktitle                = {Transactions of the Third Prague Confernce on Information Theory, StatisticalDecisionFunctions,Random Processes, 1962},
  Year                     = {1964},

  Address                  = {Prague},
  Pages                    = {63-73},
  Publisher                = {Publishing House of the Czechoslovak Academy of Science}
}

@Article{Csiszar1963,
  Title                    = {Eine informationstheoretische {U}ngleichung und ihre {A}nwendung auf den {B}eweis der ergodizit{\"a}t von {M}arkoffschen {K}etten},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {Publ. Math. Inst. Hungar. Acad.},
  Year                     = {1963},
  Pages                    = {95-108},
  Volume                   = {8}
}

@Article{Csiszar1962,
  Title                    = {Informationstheoretische {K}onvergenzbegriffe im {R}aum der {W}ahrscheinlichkeitsverteilungen},
  Author                   = {I. Csisz{\'a}r},
  Journal                  = {Publ. Math. Inst. Hungar. Acad.},
  Year                     = {1962},
  Pages                    = {137-158},
  Volume                   = {7}
}

@Article{Csiszar1962a,
  Title                    = {Informationsentfernungen im {R}aum der {W}ahrscheinlichkeitsverteilungen},
  Author                   = {I. Csisz{\'a}r and J. Fischer},
  Journal                  = {A Magyar Tudom{\'a}nuos Akad{\'e}mia Matematikai Kutat{\'o} Int{\'e}zet{\'e}nek K{\"o}zlem{\'e}nyei},
  Year                     = {1962},
  Pages                    = {159-180},
  Volume                   = {7}
}

@Book{Csiszar1981,
  Title                    = {Information Theory: Coding Theorems for Discrete Memoryless Systems},
  Author                   = {I. Csisz{\'a}r and J. K{\"o}rner},
  Publisher                = {Academic},
  Year                     = {1981},

  Address                  = {New York}
}

@Article{Csiszar2005,
  Title                    = {Closures of exponential families.},
  Author                   = {I. Csisz{\'a}r and F. Mat{\'u}s},
  Journal                  = {The Annals of Probability},
  Year                     = {2005},
  Pages                    = {582-600},
  Volume                   = {33},

  Owner                    = {ph},
  Timestamp                = {2007.02.04}
}

@Article{Csiszar2003,
  Title                    = {Information projections revisited},
  Author                   = {I. Csisz{\'a}r and F. Mat{\'u}s},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2003},

  Month                    = {June},
  Number                   = {6},
  Pages                    = {1474-1490},
  Volume                   = {49}
}

@Article{Csiszar2001,
  Title                    = {Convex Cores of Measures on $\mathbb{R}^{d}$},
  Author                   = {I. Csisz{\'a}r and F. Mat{\'u}s},
  Journal                  = {Studia Sci. Math. Hungar.},
  Year                     = {2001},
  Pages                    = {177-190},
  Volume                   = {38}
}

@InProceedings{Csiszar2000,
  Title                    = {Information Projections Revisited},
  Author                   = {I. Csisz{\'a}r and F. Mat{\'u}s},
  Booktitle                = {Proceedings ISIT2000},
  Year                     = {2000},
  Organization             = {IEEE},
  Pages                    = {490}
}

@Book{Csiszar2004,
  Title                    = {Information Theory and Statistics: A Tutorial},
  Author                   = {I. Csisz{\'a}r and P. Shields},
  Publisher                = {Now Publishers Inc.},
  Year                     = {2004},
  Series                   = {Foundations and Trends in Communications and Information Theory}
}

@Article{Csiszar2000a,
  Title                    = {The consistency of the {BIC} {M}arkov order estimator},
  Author                   = {I. Csisz{\'a}r and P. Shields},
  Journal                  = {Ann. Statistics},
  Year                     = {2000},
  Pages                    = {1601-1619},
  Volume                   = {12}
}

@Article{Csiszar1984a,
  Title                    = {Information geometry and alternating minimization procedures},
  Author                   = {I. Csisz{\'a}r and G. Tusnady},
  Journal                  = {Statistics and Decisions},
  Year                     = {1984},
  Pages                    = {205.237},
  Volume                   = {Supplementary Issue 1}
}

@Book{Dacunha-Castelle1978,
  Title                    = {Ecole d'Ete de Probabilites de Saint-Flour VII--1977},
  Author                   = {D. Dacunha-Castelle},
  Publisher                = {Springer},
  Year                     = {1978},

  Address                  = {Berlin, Heidelberg, New York}
}

@Article{Daniels1954,
  Title                    = {Saddlepoint Approximations in Statistics},
  Author                   = {H. E. Daniels},
  Journal                  = {Ann. Math. Statist.},
  Year                     = {1954},
  Number                   = {4},
  Pages                    = {631-650},
  Volume                   = {25},

  Owner                    = {peth},
  Timestamp                = {2015.09.25}
}

@Book{Dantzig1965,
  Title                    = {Tallet, Videnskabens sprog},
  Author                   = {T. Dantzig},
  Publisher                = {Gyldendal},
  Year                     = {1965},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.04.01}
}

@Book{Dantzig1930,
  Title                    = {Number: the Language of Science},
  Author                   = {T. Dantzig},
  Publisher                = {Macmillan},
  Year                     = {1930},

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  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.04.01}
}

@Article{Darroch1972,
  Title                    = {Generalized iterative scaling for log-linear models},
  Author                   = {J. Darroch and D. Ratcliff},
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  Year                     = {1972},
  Pages                    = {1470-1480},
  Volume                   = {43}
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@Unpublished{Datta2015,
  Title                    = {Quantum {M}arkov chains, sufficiency of quantum channels, and R{\'e}nyi informattion measures},
  Author                   = {Nilanjana Datta and Mark M. Wilde},
  Note                     = {arXiv: 1501.05636},

  Month                    = {March},
  Year                     = {2015},

  Owner                    = {Ejer},
  Timestamp                = {2015.05.30}
}

@Article{Davidson1973,
  Title                    = {Universal noiseless coding},
  Author                   = {L. Davidson},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1973},
  Pages                    = {783-796},
  Volume                   = {19}
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@Book{Davies1976,
  Title                    = {Quantum Theory of Open Systems},
  Author                   = {E. B. Davies},
  Publisher                = {Academic Press},
  Year                     = {1976},

  Address                  = {London}
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@Book{Davies1974,
  Title                    = {Physics of Time Asymmetry},
  Author                   = {P. C. W. Davies},
  Publisher                = {University of Califonia},
  Year                     = {1974},

  Address                  = {Los Angeles}
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@Article{Davisson1980,
  Title                    = {A source matching approach to finding minimax codes},
  Author                   = {L. D. Davisson and A. Leon-Garcia},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1980},
  Pages                    = {166-174},
  Volume                   = {26}
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@Article{Davisson1981,
  Title                    = {Efficient universal noiseless source codes},
  Author                   = {L. D. Davisson and J. R. McEllis and M. B. Pursley and M. Wallace},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1981},
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@Article{Dawid2012,
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  Author                   = {A. P. Dawid and S. Lauritzen and M. Perry},
  Journal                  = {The Annals of Statistics},
  Year                     = {2012},
  Number                   = {1},
  Pages                    = {593-603},
  Volume                   = {40}
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@Book{Day1958,
  Title                    = {Normed Linear Spaces},
  Author                   = {M. M. Day},
  Publisher                = {Springer Verlag},
  Year                     = {1958},

  Address                  = {Berlin}
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@InCollection{Finetti1937,
  Title                    = {Foresight: Its Logical Laws in Subjective Sources},
  Author                   = {B. {de Finetti}},
  Booktitle                = {Studies in Subjective Probability},
  Publisher                = {Wiley},
  Year                     = {1964},

  Address                  = {London},
  Editor                   = {H. E. Kyburg and H. E. Smokler},
  Note                     = {Reprint from 1937 edition},
  Pages                    = {93-158}
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@Book{Finetti1974,
  Title                    = {Theory of Probability},
  Author                   = {B. {de Finetti}},
  Publisher                = {Wiley},
  Year                     = {1974},

  Address                  = {London},
  Note                     = {Italian original 1970}
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@InBook{Finetti1931,
  Title                    = {Funzione Caratteristica Di un Fenomeno Aleatorio},
  Author                   = {B. {de Finetti}},
  Pages                    = {251-299},
  Publisher                = {Academia Nazionale del Linceo},
  Year                     = {1931},
  Series                   = {6. Memorie}
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@Article{Deheuvels1986,
  Title                    = {A Semigroup Approach to {P}oisson Approximation},
  Author                   = {P. Deheuvels and D. Pfeifer},
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  Year                     = {1986},
  Pages                    = {663-676},
  Volume                   = {14}
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@Article{Delbaen2002,
  Title                    = {Exponential Hedging and Entropic Penalties},
  Author                   = {F. Delbaen and P. Grandits and T. Rheinlaender and D. Samperi and M. SchweizerandC.Stricker},
  Journal                  = {Mathematical Finance},
  Year                     = {2002},
  Pages                    = {99-123},
  Volume                   = {12}
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@Article{Dembo1997,
  Title                    = {Information inequalities and concentration of measure},
  Author                   = {A. Dembo},
  Journal                  = {Ann.\ Prob.},
  Year                     = {1997},
  Pages                    = {927-939},
  Volume                   = {25}
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@Article{Dembo1989,
  Title                    = {Simple Proof of the Concavity of the Entropy Power with Respect to Added{G}aussian Noise},
  Author                   = {A. Dembo},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1989},

  Month                    = {July},
  Number                   = {4},
  Pages                    = {887-888},
  Volume                   = {35}
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@Book{Dembo1993,
  Title                    = {Large Deviations Techniques and Applications},
  Author                   = {A. Dembo and O. Zeitouni},
  Publisher                = {Jones and Bartlett Publishers International},
  Year                     = {1993},

  Address                  = {Boston}
}

@Article{Demetrius2000,
  Title                    = {Thermodynamics and Evolution},
  Author                   = {L. Demetrius},
  Journal                  = {J. theor. Biol.},
  Year                     = {2000},
  Pages                    = {1-16},
  Volume                   = {206}
}

@Article{Demetrius2009,
  Title                    = {Evolutionary Entropy: A Predictor of Body Mass, Metabolic Rate and Maximal Life Span},
  Author                   = {L. Demetrius and S. Legendre and P. Harremo{\"e}s},
  Journal                  = {Bulletin of Mathematical Biology},
  Year                     = {2009},

  Month                    = {May},
  Note                     = {Online first. Article 18},
  Number                   = {4},
  Pages                    = {800-818},
  Volume                   = {71},

  Doi                      = {10.1..7/s11538-008-9382-6},
  Owner                    = {ph},
  Timestamp                = {2008.03.26},
  Url                      = {http://www.harremoes.dk/Peter/Evolutionary.pdf}
}

@Article{Demetrovics1992,
  Title                    = {Functional Dependencies in Relational Databases: A Lattice Point of View},
  Author                   = {J. Demetrovics and L. Libkin and I. B. Muchnik},
  Journal                  = {Discrete Applied Mathematics},
  Year                     = {1992},

  Month                    = {Dec.},
  Number                   = {2},
  Pages                    = {155-185},
  Volume                   = {40},

  Owner                    = {Ejer},
  Timestamp                = {2014.10.01}
}

@InProceedings{Demetrovics1989,
  Title                    = {Functional dependencies and the semilattice of closed classes},
  Author                   = {J. Demetrovics and L. Libkin and I. B. Muchnik},
  Booktitle                = {MFDBS '89 Proceedings of the 2nd Symposium on Mathematical Fundamentals of Database Systems},
  Year                     = {1989},
  Pages                    = {136-147},
  Publisher                = {Springer},

  Owner                    = {Ejer},
  Timestamp                = {2014.12.30}
}

@Article{Dempster1968,
  Title                    = {A generalization of {B}ayesian inference},
  Author                   = {A. Dempster},
  Journal                  = {Journal of the Royal Statistical Society, Series B},
  Year                     = {1968},
  Pages                    = {205-247},
  Volume                   = {30},

  Owner                    = {ph},
  Timestamp                = {2009.01.29}
}

@Article{Dempster1977,
  Title                    = {Maximum Likelihood from incomplete data},
  Author                   = {A. P. Dempster and N. Laird and D. Rubin},
  Journal                  = {J. Royal Stat. Soc.},
  Year                     = {1977},
  Pages                    = {1-38},
  Volume                   = {39},

  Series                   = {B}
}

@Article{Deutsch1983,
  Title                    = {Uncertainty in quantum measurements},
  Author                   = {D. L. Deutsch},
  Journal                  = {Phys. Rev. Lett.},
  Year                     = {1983},
  Pages                    = {631-633},
  Volume                   = {50},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Devroye2002,
  Title                    = {A Note on Robust Hypothesis Testing},
  Author                   = {L. Devroye and L. Gy{\"o}rfi and G. Lugosi},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2002},

  Month                    = {July},
  Number                   = {7},
  Pages                    = {2111-2114},
  Volume                   = {48},

  Owner                    = {ph},
  Timestamp                = {2008.03.20}
}

@Book{Diaconis1988,
  Title                    = {Group Representations in Probability and Statistics},
  Author                   = {P. Diaconis},
  Publisher                = {Institute of Mathematical Statistics},
  Year                     = {1988},
  Series                   = {Lecture Notes - Monograph Series},
  Volume                   = {11}
}

@Article{Diaconis1987,
  Title                    = {A dozen de {F}inetti-style results in search of a theory},
  Author                   = {P. Diaconis and D. Friedman},
  Journal                  = {Ann. Inst. Henri Poincar{\'e}},
  Year                     = {1987},
  Pages                    = {397-423},
  Volume                   = {23-2}
}

@Article{Diaconis1990,
  Title                    = {Cauchy's equation and de {F}inetti's theorem},
  Author                   = {P. Diaconis and D. A. Friedman},
  Journal                  = {Scandinavian Journal of Statistics},
  Year                     = {1990},
  Number                   = {3},
  Pages                    = {235-249},
  Volume                   = {17}
}

@Article{Diggavi2001,
  Title                    = {The Worst Additive Noise Under a Covariance Constraint},
  Author                   = {S. N. Diggavi and T. M. Cover},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2001},

  Month                    = {Nov.},
  Number                   = {7},
  Pages                    = {3072-3081},
  Volume                   = {IT-47}
}

@Article{Dilworth1950,
  Title                    = {A decomposition theorem for partially ordered sets},
  Author                   = {R. P. Dilworth},
  Journal                  = {Ann. of Math.},
  Year                     = {1950},
  Number                   = {2},
  Pages                    = {161-166},
  Volume                   = {51},

  Owner                    = {Ejer},
  Timestamp                = {2015.01.09}
}

@Book{Dirac1958,
  Title                    = {The principles of Quantum Mechanics},
  Author                   = {P. A. M. Dirac},
  Publisher                = {Claredon Press},
  Year                     = {1958},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Dobrusin1960,
  Title                    = {Passage to the limit under the information and entropy integrals},
  Author                   = {R. L. Dobrusin},
  Journal                  = {Theory Probab. Appl.},
  Year                     = {1960},
  Note                     = {English translation},
  Pages                    = {25-32},
  Volume                   = {5}
}

@Article{Dobrusin1959,
  Title                    = {General formulation of {S}hannon's main theorem in information theory},
  Author                   = {R. L. Dobrusin},
  Journal                  = {Usp. Mat. Nauk.},
  Year                     = {1959},
  Note                     = {In Russian. English translation in Transl. A.M.S., Ser. 2, 33, pp. 323-438,1963},
  Pages                    = {3-104},
  Volume                   = {14}
}

@Article{Dodonov1980,
  Title                    = {Generalized uncertainty relation and correlated coherent states},
  Author                   = {V. V. Dodonov and E. V. Kurmyshev and V. I. Man'ko},
  Journal                  = {Phys. Lett. A},
  Year                     = {1980},
  Pages                    = {150-152},
  Volume                   = {79},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Donald1987a,
  Title                    = {Further result on the relative entropy},
  Author                   = {M. J. Donald},
  Journal                  = {Math. Proc. Cam. Phil.},
  Year                     = {1987},
  Number                   = {363},
  Volume                   = {101}
}

@Article{Donald1985,
  Title                    = {On the relative entropy},
  Author                   = {M. J. Donald},
  Journal                  = {Commun. Math. Phys.},
  Year                     = {1985},
  Pages                    = {13-34},
  Volume                   = {105}
}

@Article{Donoho1989,
  Title                    = {Uncertainty Principles and Signal Recovery},
  Author                   = {D. L. Donoho and P. B. Stark},
  Journal                  = {SIAM J. Appl. Math.},
  Year                     = {1989},
  Pages                    = {906-931},
  Volume                   = {49},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Donoho1998,
  Title                    = {Data Compression and Harmonic Analysis},
  Author                   = {D. L. Donoho and M. Vetterli and R. A. DeVore and I. Daubechies},
  Journal                  = {IEEE transactions on informations theory},
  Year                     = {1998},
  Number                   = {6},
  Pages                    = {2435--2476},
  Volume                   = {44},

  Organization             = {The Institute of Electrical and Electronics Engineers},
  Owner                    = {ph},
  Publisher                = {The IEEE computer society},
  Timestamp                = {2008.01.07},
  Url                      = {citeseer.ist.psu.edu/article/donoho98data.html}
}

@Book{Doob1953,
  Title                    = {Stochastic Processes},
  Author                   = {J. L. Doob},
  Publisher                = {Wiley},
  Year                     = {1953},

  Address                  = {New York}
}

@InProceedings{Dudley1998,
  Title                    = {Consistency of {M}-estimators and one-sided bracketing},
  Author                   = {R. Dudley},
  Booktitle                = {High Dimensional Probability},
  Year                     = {1998},

  Address                  = {Basel},
  Editor                   = {E. Eberlein et al.},
  Pages                    = {33-58},
  Publisher                = {Birkh{\"a}user},
  Series                   = {Progress in Probability}
}

@Article{Dukovski2013,
  Title                    = {Causal structure of spacetime and geometric algebra for quantum gravity},
  Author                   = {Dukovski, I.},
  Journal                  = {Phys. Rev. D},
  Year                     = {2013},

  Month                    = {March},
  Pages                    = {064022},
  Volume                   = {87},

  Doi                      = {10.1103/PhysRevD.87.064022},
  Issue                    = {6},
  Numpages                 = {19},
  Publisher                = {American Physical Society},
  Url                      = {http://link.aps.org/doi/10.1103/PhysRevD.87.064022}
}

@InCollection{Dummett1986,
  Title                    = {Causal Loops},
  Author                   = {M. Dummett},
  Booktitle                = {The Nature of Time},
  Publisher                = {Basil Blackwell},
  Year                     = {1986},

  Address                  = {Oxford},
  Editor                   = {R. Flood and M. Lockwood}
}

@Book{Duncan1975,
  Title                    = {Introduction to Structural Equation Models},
  Author                   = {O. D. Duncan},
  Publisher                = {Academic Press},
  Year                     = {1975},

  Address                  = {New York}
}

@Article{Dunning1993,
  Title                    = {Accurate Methods for the Statistics of Surprise and Coincidence},
  Author                   = {T. Dunning},
  Journal                  = {Computational Linguistics},
  Year                     = {1993},

  Month                    = {March},
  Number                   = {1},
  Pages                    = {61-74},
  Volume                   = {19},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.09}
}

@Book{Eagle1958,
  Title                    = {Elliptic Functions as They Should Be: An Account, with Applications, of the Functions in a New Canonical Form},
  Author                   = {A. Eagle},
  Publisher                = {Galloway \& Porter},
  Year                     = {1958},

  Address                  = {Cambridge},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.02.05}
}

@Book{Earman1986,
  Title                    = {A Primer on Determinism},
  Author                   = {J. Earman},
  Publisher                = {Reidel},
  Year                     = {1986},

  Address                  = {Dordrecht, Holland}
}

@Article{Eichelsbacher2001,
  Title                    = {Large Deviations for products of Empirical Measures of Dependent Sequences},
  Author                   = {P. Eichelsbacher and U. Schmock},
  Journal                  = {Markov Processes and Related Fields},
  Year                     = {2001},
  Number                   = {3},
  Pages                    = {435-468},
  Volume                   = {7}
}

@Article{Einstein1910,
  Author                   = {A. Einstein},
  Journal                  = {Annalen der Physik},
  Year                     = {1910},
  Volume                   = {33}
}

@InProceedings{Elidan2003,
  Title                    = {The Information Bottleneck {EM} Algorithm},
  Author                   = {Gal Elidan and Nir Friedman},
  Booktitle                = {Proceedings of the 19th Annual Conference on Uncertainty in Artificial Intelligence(UAI-03)},
  Year                     = {2003},

  Address                  = {San Francisco, CA},
  Pages                    = {200-208},
  Publisher                = {Morgan Kaufmann},

  Owner                    = {ph},
  Timestamp                = {2007.01.07}
}

@Book{Ellis1985,
  Title                    = {Entropy, Large Deviations, and Statistical Mechanics},
  Author                   = {R. S. Ellis},
  Publisher                = {Springer},
  Year                     = {1985},

  Address                  = {New York}
}

@Article{El-Yaniv1997,
  Title                    = {Agnostic Classification of {M}arkovian Sequences},
  Author                   = {R. El-Yaniv and S. Fine and N. Tishby},
  Journal                  = {NIPS, MIT-Press},
  Year                     = {1997},
  Pages                    = {465-471}
}

@Book{Embrechts1997,
  Title                    = {Modelling Extremal Events},
  Author                   = {P. Embrechts and C. Kl{\"u}ppelberg and T. Mikosch},
  Publisher                = {Springer},
  Year                     = {1997},

  Address                  = {Berlin, Heidelberg}
}

@Article{Endres2003,
  Title                    = {A New Metric for Probability Distributions},
  Author                   = {D. M. Endres and J. E. Schindelin},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2003},

  Month                    = {July},
  Number                   = {7},
  Pages                    = {1858-1860},
  Volume                   = {49}
}

@Book{Engelking1989,
  Title                    = {General Topology},
  Author                   = {R. Engelking},
  Publisher                = {Heldermann},
  Year                     = {1989},

  Address                  = {Berlin},
  Edition                  = {Revised and completed},
  Series                   = {Sigma Series in Pure Mathematics},
  Volume                   = {6}
}

@PhdThesis{Erven2010a,
  Title                    = {When Data Compression and Statistics Dissagree},
  Author                   = {T. van Erven},
  School                   = {Leiden University},
  Year                     = {2010},
  Type                     = {Phd thesis},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.10.29},
  Url                      = {http://homepages.cwi.nl/~erven/publications/2010/PhDthesis-TimvanErven.pdf}
}

@Article{Erven2014,
  Title                    = {R{\'e}nyi Divergence and {K}ullback-{L}eibler Divergence},
  Author                   = {T. van Erven and P. Harremo{\"e}s},
  Journal                  = {IEEE Trans Inform. Theory},
  Year                     = {2014},

  Month                    = {July},
  Number                   = {7},
  Pages                    = {3797-3820},
  Volume                   = {60},

  Doi                      = {10.1109/TIT.2014.2320500},
  Owner                    = {Peter},
  Timestamp                = {2012.06.11},
  Url                      = {http://arxiv.org/pdf/1206.2459v1.pdf}
}

@InProceedings{Erven2010,
  author       = {T. van Erven and P. Harremo{\"e}s},
  title        = {{R}\'enyi Divergence and Majorization},
  booktitle    = {2010 IEEE International Symposium on Information Theory},
  year         = {2010},
  eventtitle   = {ISIT2010},
  organization = {IEEE},
  month        = {June},
  pages        = {1335-1339},
  url          = {http://arxiv.org/abs/1001.4448},
  owner        = {ph},
  timestamp    = {2010.01.26},
}

@Book{Estoup1916,
  Title                    = {Gammes St{\'e}nographiques},
  Author                   = {J. B. Estoup},
  Publisher                = {Institut Stenographique de France},
  Year                     = {1916},

  Address                  = {Paris}
}

@PhdThesis{Ettinger1996,
  Title                    = {Topics in Combinatorial Games},
  Author                   = {M. Ettinger},
  School                   = {University of Wisconsin},
  Year                     = {1996},

  Address                  = {Madison},
  Type                     = {PhD thesis},

  Owner                    = {ph},
  Timestamp                = {2009.05.18}
}

@Book{Euler1748,
  Title                    = {Introducio in Analysia Infinetarium},
  Author                   = {L. Euler},
  Year                     = {1748},

  Address                  = {Lausanne},
  Volume                   = {1},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.24}
}

@Article{Euler1737,
  Title                    = {de variis modis circuli qvadraturam proxime exprimendi},
  Author                   = {L. Euler},
  Journal                  = {Comment. petropol},
  Year                     = {1737},
  Volume                   = {9},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.21}
}

@Article{Euler1737a,
  Title                    = {Variae Observationes Circa Series Infinitas},
  Author                   = {L. Euler},
  Journal                  = {Commentarii academiae scientiarum Petropolitanae},
  Year                     = {1737},
  Pages                    = {160-188},
  Volume                   = {9},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.24}
}

@Article{Everett1957,
  Title                    = {{"Relative State"} Formulation of Quantum Mechanics},
  Author                   = {H. Everett},
  Journal                  = {Rev. Mod. Phys.},
  Year                     = {1957},
  Pages                    = {454-462},
  Volume                   = {29}
}

@Book{Everitt1998,
  Title                    = {The Cambridge Dictionary of Statistics},
  Author                   = {B. S. Everitt},
  Publisher                = {Cambridge University Press},
  Year                     = {1998},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.10}
}

@Book{Falicov1966,
  Title                    = {Group Theory and Its Physical Applications},
  Author                   = {L. M. Falicov},
  Publisher                = {Midway Reprint},
  Year                     = {1966},

  Owner                    = {ph},
  Timestamp                = {2007.02.05}
}

@Article{Fan1953,
  Title                    = {Minimax theorems},
  Author                   = {K. Fan},
  Journal                  = {Proc. Nat. Acad. Sci. U.S.A.},
  Year                     = {1953},
  Pages                    = {42-47},
  Volume                   = {39}
}

@Article{Fan1952,
  Title                    = {Fixed-point and minimax theorems in locally convex topological linear spaces},
  Author                   = {K. Fan},
  Journal                  = {Proc. Nat. Acad. Sci. U.S.A.},
  Year                     = {1952},
  Pages                    = {121-126},
  Volume                   = {38}
}

@Book{Faye1981,
  Title                    = {Et Naturfilosofisk Essay Om Tid Og Kausalitet},
  Author                   = {J. Faye},
  Publisher                = {J{\o}rgen Paludans Forlag},
  Year                     = {1981}
}

@Article{Feder1994,
  Title                    = {Relations Between Entropy and Error Probability},
  Author                   = {M. Feder and N. Merhav},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1994},
  Pages                    = {259-266},
  Volume                   = {40}
}

@Article{Fedotov2003,
  Title                    = {Refinements of {P}insker's Inequality},
  Author                   = {A. Fedotov and P. Harremo{\"e}s and F. Tops{\o}e},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2003},

  Month                    = {June},
  Number                   = {6},
  Pages                    = {1491-1498},
  Volume                   = {49},

  Url                      = {http://www.harremoes.dk/Peter/pinfinal.pdf}
}

@Article{Fedotov2003a,
  Title                    = {Best {P}insker Bound equals {T}aylor Polynomial of Degree $49$},
  Author                   = {A. Fedotov and P. Harremo{\"e}s and F. Tops{\o}e},
  Journal                  = {Computational {T}echnologies},
  Year                     = {2003},
  Number                   = {5},
  Pages                    = {3-14},
  Volume                   = {8},

  Url                      = {http://www.harremoes.dk/Peter/fed_n.pdf}
}

@InProceedings{Fedotov2001,
  Title                    = {Vajda's Tight Lower Bound and Refinements of {P}insker's Inequality},
  Author                   = {A. Fedotov and P. Harremo{\"e}s and F. Tops{\o}e},
  Booktitle                = {Proceedings 2001 {IEEE} International Symposium on Information Theory},
  Year                     = {2001},

  Address                  = {Washington},
  Month                    = {June},
  Organization             = {IEEE},
  Pages                    = {20},

  Url                      = {http://www.harremoes.dk/Peter/240.pdf}
}

@Article{Feldheim1940,
  Title                    = {Expansions and Integral-transforms for Products of {L}aguerre and {H}ermite Polynomials},
  Author                   = {E. Feldheim},
  Journal                  = {Q J Math.},
  Year                     = {1940},
  Number                   = {1},
  Pages                    = {18-29},
  Volume                   = {Oxford Series 11},

  Doi                      = {10.1093/qmath/os-11.1.18},
  Eprint                   = {http://qjmath.oxfordjournals.org/cgi/reprint/os-11/1/18.pdf},
  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.03.29},
  Url                      = {http://qjmath.oxfordjournals.org}
}

@Article{Feldman1989,
  Title                    = {A note on $f$-divergences},
  Author                   = {D. Feldman and F. {\"O}sterreicher},
  Journal                  = {Studia Sci.\ Math.\ Hungar.},
  Year                     = {1989},
  Pages                    = {191-200},
  Volume                   = {24}
}

@Article{Feldman1958,
  Title                    = {Equivalence and Perpendicularity of {G}aussian Processes},
  Author                   = {Jacob Feldman},
  Journal                  = {Pacific Journal of Mathematics},
  Year                     = {1958},
  Number                   = {4},
  Pages                    = {699--708},
  Volume                   = {8}
}

@Book{Feller1971,
  Title                    = {An Introduction to Probability Theory and its Applications},
  Author                   = {W. Feller},
  Publisher                = {Wiley},
  Year                     = {1971},

  Address                  = {New York},
  Edition                  = {second edition},
  Volume                   = {II}
}

@Book{Feller1957,
  Title                    = {An Introduction to Probability and its Applications},
  Author                   = {W. Feller},
  Publisher                = {Wiley},
  Year                     = {1957},

  Address                  = {New York},
  Volume                   = {I},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.07}
}

@Unpublished{Feng2007,
  Title                    = {The constraints determining forms of entropy and inducing equilibrium distributions},
  Author                   = {X. Feng},
  Note                     = {unpublished},
  Year                     = {2007},

  Url                      = {arXiv:cond-mat.stat-mech/0705.1332v4}
}

@InCollection{Findlay1941,
  Title                    = {Time: A Treatment of some Puzzles},
  Author                   = {J. N. Findlay},
  Year                     = {1941},
  Editor                   = {Smart (1964)},
  Pages                    = {339-355}
}

@Article{Fine1982,
  Title                    = {Hidden Variables, Joint Probability, and the {B}ell Inequalities},
  Author                   = {A. Fine},
  Journal                  = {Phys. Rev. Lett.},
  Year                     = {1982},
  Pages                    = {291-295},
  Volume                   = {48}
}

@PhdThesis{Finesso1990,
  Title                    = {Order estimation for functions of {M}arkov chains},
  Author                   = {L. Finesso},
  School                   = {University of Maryland},
  Year                     = {1990},

  Address                  = {College Park},
  Type                     = {PhD thesis}
}

@Article{Fishburn1982,
  Title                    = {The foundations of expected utility.},
  Author                   = {P. C. Fishburn},
  Journal                  = {Theory \& Decision Library},
  Year                     = {1982}
}

@Article{Fitingof1966,
  Title                    = {Coding in the case of unknown and changing message statistics},
  Author                   = {B. Fitingof},
  Journal                  = {Probl. Inform. Transmission},
  Year                     = {1966},
  Note                     = {in Russian},
  Number                   = {2},
  Pages                    = {3-11},
  Volume                   = {2}
}

@Article{Forte1975,
  Title                    = {Derivation of a class of entropies including those of degree $\beta$},
  Author                   = {B. Forte and C. T. Ng},
  Journal                  = {Information and Control},
  Year                     = {1975},
  Pages                    = {335-351},
  Volume                   = {28}
}

@Book{Freese1995,
  Title                    = {Free Lattices},
  Author                   = {R. Freese and J. Jezek and J. B. Nation},
  Publisher                = {American Mathematical Society},
  Year                     = {1995},
  Series                   = {Mathematical Survays and Monographs},
  Volume                   = {42},

  Owner                    = {peth},
  Timestamp                = {2015.02.02}
}

@Misc{Freiddy2007,
  Title                    = {pi \& 2 pi},

  Author                   = {Freiddy},
  HowPublished             = {Posted on the discussion forum of MathKB},
  Month                    = {Jan.},
  Year                     = {2007},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.02.20},
  Url                      = {http://www.mathkb.com/Uwe/Forum.aspx/math/35389/pi-2-pi}
}

@Article{Frenk2004,
  Title                    = {On equivalent results in minimax theory},
  Author                   = {J. B. G. Frenk and G. Kassay and J. Kolumb{\'a}n},
  Journal                  = {European J. Oper. Res.},
  Year                     = {2004},
  Pages                    = {46-58},
  Volume                   = {157}
}

@Article{Friedman1990,
  Title                    = {The {C}auchy Problem for the Scalar Wave Equation is Well Defined on a ClassofSpacetimesWith Closed Timelike Curves},
  Author                   = {J. L. Friedman and M. S. Morris},
  Journal                  = {Phys. Rev. Lett.},
  Year                     = {1990},
  Number                   = {4},
  Pages                    = {401-404},
  Volume                   = {66}
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@Article{Friedman1990a,
  Author                   = {J. L. Friedman and M. S. Morris and I. D. Novikov and F. Echeverria andG. Klinkhammer and K.S. Thorne and U. Yurtsever},
  Journal                  = {Phys. Rev. D},
  Year                     = {1990},
  Pages                    = {1915},
  Volume                   = {42}
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@Book{Friedman1983,
  Title                    = {Foundation of Space-Time Theories. Relativistic Physics and Philosophy ofScience},
  Author                   = {M. Friedman},
  Publisher                = {Princeton University Press},
  Year                     = {1983},

  Address                  = {Princeton}
}

@InProceedings{Fritz1973,
  Title                    = {An Information-Theoretical Proof of Limit Theorems for Reversible {M}arkov Processes},
  Author                   = {J. Fritz},
  Booktitle                = {Trans. Sixth Prague Conf. on Inform. Theory, Statist. Decision Functions,RandomProcesses},
  Year                     = {1973},

  Address                  = {Prague},
  Note                     = {Prague, Sept. 1971},
  Organization             = {Czech. Acad. Science},
  Publisher                = {Academia Publ.}
}

@Article{Frolov1990,
  Title                    = {Physical Effects in Wormholes and Time Machines},
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  Year                     = {1990},
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@Article{Frydenberg1990,
  Title                    = {The Chain Graph {M}arkov Property},
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  Year                     = {1990},
  Pages                    = {333-353},
  Volume                   = {17}
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@Article{Fuglede2005,
  Title                    = {Spirals in {H}ilbert space: with an application in information theory},
  Author                   = {B. Fuglede},
  Journal                  = {Expo. Math.},
  Year                     = {2005},
  Pages                    = {23-45},
  Volume                   = {23}
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@InProceedings{Fuglede2004,
  Title                    = {Jensen-{S}hannon Divergence and {H}ilbert space Embedding},
  Author                   = {B. Fuglede and F. Tops{\o}e},
  Booktitle                = {Proceedings 2004 International Symposium on Information Theory},
  Year                     = {2004},
  Pages                    = {31}
}

@Book{Baker1996,
  Title                    = {Pad{\'e} {A}pproximants},
  Author                   = {G. A. Baker, jr. and P. Graves-Morris},
  Publisher                = {Cambridge University Press},
  Year                     = {1996},
  Edition                  = {2.nd},
  Series                   = {Encyclopedia of Mathematics and its Applications},
  Volume                   = {59}
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@Book{Ganssler1977,
  Title                    = {Wahrscheinlichkeitstheorie},
  Author                   = {P. G{\"a}nssler and W. Stute},
  Publisher                = {Springer-Verlag},
  Year                     = {1977},

  Address                  = {Berlin Heidelberg}
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@Book{Gardenfors1988,
  Title                    = {Knowledge in Flux},
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  Publisher                = {MIT Press},
  Year                     = {1988},

  Address                  = {Cambridge}
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@Book{Gallager1977,
  Title                    = {Source coding with side information and universal coding},
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  Publisher                = {unpublished manuscript},
  Year                     = {1977}
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  Title                    = {Information Theory and Reliable Communication},
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  Publisher                = {Wiley},
  Year                     = {1968},

  Address                  = {New York},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.07}
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  Owner                    = {ph},
  Timestamp                = {2008.12.05}
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@Article{Garg1987,
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  Year                     = {1987},
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  Year                     = {1990},
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  Pages                    = {381-402},
  Volume                   = {20}
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@Article{Garrett1990a,
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  Pages                    = {1475-1512},
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@Misc{Gat2011,
  Title                    = {Deviations from the mean of a sum of independent, non-identically-distributed {B}ernoulli variables},

  Author                   = {Y. Gat},
  HowPublished             = {Published on personal blog},
  Month                    = {Oct.},
  Note                     = {Retrieved 2. Feb. 2012},
  Year                     = {2011},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.02.09},
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  Pages                    = {19-31},
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@Book{Gericke1994,
  Title                    = {Talbegrebets Historie},
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  Year                     = {1994},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.04.01}
}

@Book{Gericke1970,
  Title                    = {Geschicte des {Z}ahlbegriffs},
  Author                   = {H. Gericke},
  Publisher                = {Bibliographisches Institut},
  Year                     = {1970},

  Address                  = {Mannheim},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.04.01}
}

@Book{Giarratano2005,
  Title                    = {Expert Systems: principles and programming},
  Author                   = {J. C. Giarratano and G. D. Riley},
  Editor                   = {Thomson Course Tech},
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  Year                     = {2005},

  Owner                    = {ph},
  Timestamp                = {2009.01.29}
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  Title                    = {Counterfactuals and Two Kinds of Expected Utility},
  Author                   = {A. Gibbard and W. Harper},
  Editor                   = {I. Hooker et Al.},
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  Year                     = {1978},

  Address                  = {Dordrecht},
  Series                   = {Western Ontario Series in Philosophy of Science},
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@Book{Gibbons1992,
  Title                    = {A Primer in Game Theory},
  Author                   = {R. Gibbons},
  Publisher                = {Harvester Wheatsheaf},
  Year                     = {1992}
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@Article{Gibbs2002,
  Title                    = {On Choosing and Bounding Probability Metrics},
  Author                   = {Alison L. Gibbs and Francis Edward Su},
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  Year                     = {2002},
  Pages                    = {419--435},
  Volume                   = {70}
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  Number                   = {1,2},
  Pages                    = {46-51},
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@TechReport{Gilad-Bachrach2006a,
  Title                    = {A Study of the Information Bottleneck for Method and ist Relationship to Classical Problems},
  Author                   = {R. Gilad-Bachrach and A. Navot and N. Tishby},
  Institution              = {HUJI Leibniz},
  Year                     = {2006},
  Type                     = {tech. rep.},

  Owner                    = {ph},
  Timestamp                = {2007.03.16}
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@Book{Gilewicz1978,
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  Author                   = {J. Gilewicz},
  Publisher                = {Springer},
  Year                     = {1978},
  Series                   = {Lecture Notes in Mathematics},
  Volume                   = {667}
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@InProceedings{Gisin2000,
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  Author                   = {N. Gisin and R. Renner and S. Wolf},
  Booktitle                = {Proceedings of 3ecm},
  Year                     = {2000},
  Editor                   = {C. Casacuberta and R.M. Miro-Roig and J. Verdera and S. Xambo-Descamps},
  Pages                    = {439--447},
  Publisher                = {Birkh{\"a}user Verlag},
  Series                   = {Progress in Mathematics},
  Volume                   = {202}
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@Article{Gisin2001,
  Title                    = {Linking Classical and Quantum Key Agreement: Is There a Classical Analog to Bound Entanglement?},
  Author                   = {N. Gisin and R. Renner and S. Wolf},
  Journal                  = {Submitted to Algorithmica},
  Year                     = {2001}
}

@Article{Glonti2007,
  Title                    = {Nash Equilibrium in a Game of Calibration},
  Author                   = {O. Glonti and P. Harremo{\"e}s and Z. Khechinashili and F. Tops{\o}e},
  Journal                  = {Theory of Probability and its Applications},
  Year                     = {2007},
  Number                   = {3},
  Pages                    = {415-426},
  Volume                   = {51},

  Owner                    = {ph},
  Refereed                 = {yes},
  Theme                    = {INS4},
  Timestamp                = {2007.11.08},
  Url                      = {http://link.aip.org/link/?TPR/51/415/1}
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@Article{Glonti2006,
  Title                    = {Nash equilibrium in a game of calibration},
  Author                   = {O. Glonti and P. Harremo{\"e}s and Z. Khechinashvili and F. Tops{\o}e},
  Journal                  = {Teoriya Veroyatnostei i ee Primeneniya},
  Year                     = {2006},
  Number                   = {3},
  Pages                    = {537-551},
  Volume                   = {51},

  Refereed                 = {yes},
  Theme                    = {INS4},
  Url                      = {http://www.harremoes.dk/Peter/finanssubmit.pdf}
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@Article{Glonti2002,
  Title                    = {The minimal entropy and minimal $\phi$-divergence distance martingale measuresforthetrinomial scheme},
  Author                   = {O. Glonti and L. Jamburia and N. Kapanadze and Z. Khechinashvili},
  Journal                  = {Applied Mathematics and Informatics, Journal of I. Vekua Institute of AppliedMathematics},
  Year                     = {2002},
  Pages                    = {28-40},
  Volume                   = {7}
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  Title                    = {Upper Bounds on {P}oisson Tail Probabilities},
  Author                   = {P. W. Glynn},
  Journal                  = {Operations Research Letters},
  Year                     = {1987},

  Month                    = {March},
  Number                   = {1},
  Pages                    = {9-14},
  Volume                   = {6},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.02.01}
}

@Book{Gnedenko1954,
  Title                    = {Limit Distributions for Sums of Independent Random Variables},
  Author                   = {B. V. Gnedenko and A. N. Kolmogorov},
  Publisher                = {Addison-Wesley},
  Year                     = {1954},

  Owner                    = {ph},
  Timestamp                = {2007.10.10}
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@Book{Gokhale1978,
  Title                    = {The Information in Contingency Tables},
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  Publisher                = {Marcel Dekker},
  Year                     = {1978},

  Address                  = {New York}
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  Author                   = {C. M. Goldie and R. G. E. Pinch},
  Publisher                = {Cambridge University Press},
  Year                     = {1991},

  Address                  = {Cambridge}
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@Article{Golic1987,
  Title                    = {On the Relationship Between the Information Measures and the {B}ayes Probability of Error},
  Author                   = {J. DJ. Goli\'{c}},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1987},

  Month                    = {Sept.},
  Number                   = {5},
  Pages                    = {681-690},
  Volume                   = {33}
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@Article{Golic1987a,
  Title                    = {On the relationship between the efficiency measures of multicategory informationsystems},
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  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1987},
  Pages                    = {531-538},
  Volume                   = {33}
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@Article{Goll2001,
  Title                    = {Minimax and minimal distance martingale measures and their relationshiptoportfoliooptimization},
  Author                   = {T. Goll and L. R{\"u}schendorf},
  Journal                  = {Finance Stoch.},
  Year                     = {2001},
  Pages                    = {557-581},
  Volume                   = {5}
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@InProceedings{Gondek2003,
  Title                    = {Conditional information bottleneck clustering},
  Author                   = {D. Gondek and T. Hofmann},
  Booktitle                = {Workshop on Clustering Large Data Sets, IEEE International Conference onData Mining, Melbourne, USA, November 19-22, 2003.},
  Year                     = {2003},

  Owner                    = {ph},
  Text                     = {Gondek, D., & Hofmann, T. (2003). Conditional information bottleneck clustering.Proceedings of the 3rd IEEE International Conference on Data Mining, Workshopon Clustering Large Data Sets.},
  Timestamp                = {2007.01.07},
  Url                      = {citeseer.ist.psu.edu/gondek03conditional.html}
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@Book{Gonshor1986,
  Title                    = {An Introduction to the Theory of Surreal Numbers},
  Author                   = {H. Gonshor},
  Publisher                = {Cambridge University Press},
  Year                     = {1986},
  Series                   = {London Mathematical Society},
  Volume                   = {110},

  Owner                    = {ph},
  Timestamp                = {2009.01.30}
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@Article{Gorban2010,
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  Author                   = {A. N. Gorban and P. A. Gorban and G. Judge},
  Journal                  = {Entropy},
  Year                     = {2010},

  Month                    = {May},
  Note                     = {Special Issue on Entropy in Model Reduction},
  Number                   = {5},
  Pages                    = {1145-1193},
  Volume                   = {12},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.04.17},
  Url                      = {http://arxiv.org/abs/1003.1377}
}

@Book{Gratzer2003,
  Title                    = {General Lattice Theory},
  Author                   = {G. Gr{\"a}tzer},
  Publisher                = {Birkh{\"a}user},
  Year                     = {2003},
  Edition                  = {Second},

  Owner                    = {ph},
  Timestamp                = {2009.01.20}
}

@Book{Graetzer1971,
  Title                    = {Lattice Theory},
  Author                   = {G. Gr{\"a}tzer},
  Publisher                = {Dover},
  Year                     = {1971},

  Owner                    = {Ejer},
  Timestamp                = {2015.01.16}
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@Book{Grunbaum1967,
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  Publisher                = {Wiley},
  Year                     = {1967},

  Address                  = {London}
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@Book{Grunwald2007,
  Title                    = {the Minimum Description Length principle},
  Author                   = {P. Gr{\"u}nwald},
  Publisher                = {MIT Press},
  Year                     = {2007},

  Owner                    = {ph},
  Timestamp                = {2008.01.06}
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@InProceedings{Grunwald2009a,
  Title                    = {Regret and {J}effreys Integrals in Exp. Families},
  Author                   = {P. Gr{\"u}nwald and P. Harremo{\"e}s},
  Booktitle                = {thirtieth Symposium in Information Theory in the Benelux},
  Year                     = {2009},

  Address                  = {Eindhoven},
  Editor                   = {T. Tjalkens and F. Willems},
  Organization             = {Werkgemeenschap voor Informatie- en Communicatietheorie},
  Pages                    = {143},

  File                     = {:http\://www.harremoes.dk/Peter/WIC.pdf:PDF},
  Owner                    = {ph},
  Timestamp                = {2009.03.18},
  Url                      = {http://arxiv.org/abs/0903.5399}
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@InProceedings{Grunwald2009,
  Title                    = {Finiteness of Redundancy, Regret, {S}htarkov Sums, and {J}effreys Integrals in Exponential Families},
  Author                   = {P. Gr{\"u}nwald and P. Harremo{\"e}s},
  Booktitle                = {Proceedings for the International Symposium for Information Theory, Seoul, 2009},
  Year                     = {2009},
  Month                    = {June},
  Organization             = {IEEE},
  Pages                    = {714-718},

  Owner                    = {ph},
  Timestamp                = {2009.03.18},
  Url                      = {http://www.harremoes.dk/Peter/subm2009f.pdf}
}

@InCollection{Grunwald2004,
  Title                    = {A Tutorial Introduction to the Minimum Description Length Principle},
  Author                   = {P. D. Gr{\"u}nwald},
  Booktitle                = {Advances in {M}inimum {D}escription {L}ength: Theory and Applications},
  Publisher                = {MIT Press},
  Year                     = {2004},

  Address                  = {Bosten},
  Editor                   = {Gr{\"u}nwald, Myung and Pitt},
  Note                     = {to appear}
}

@Article{Grunwald2004a,
  Title                    = {Game Theory, Maximum Entropy, Minimum Discrepancy, and Robust {B}ayesian Decision Theory},
  Author                   = {P. D. Gr{\"u}nwald and A. P. Dawid},
  Journal                  = {{A}nnals of {M}athematical {S}tatistics},
  Year                     = {2004},
  Number                   = {4},
  Pages                    = {1367-1433},
  Volume                   = {32}
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@Article{Grunwald2003,
  Title                    = {Updating Probabilities},
  Author                   = {Peter D. Gr{\"u}nwald and Joseph Y. Halpern},
  Journal                  = {J. Artifical Intelligence Research},
  Year                     = {2003},
  Pages                    = {243-278},
  Volume                   = {19},

  Owner                    = {ph},
  Timestamp                = {2007.02.03}
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@Article{Grandits2002,
  Title                    = {On the minimal entropy martingale measure},
  Author                   = {P. Grandits and T. Rheinl{\"a}nder},
  Journal                  = {Ann. Probab.},
  Year                     = {2002},
  Pages                    = {1003-1038},
  Volume                   = {30}
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@Book{Grauert1974,
  Title                    = {Einf{\"u}hrung in Die {F}unktionstheorie Mehrere {V}er{\"a}ndelicher},
  Author                   = {H. Grauert and K. Fritzsche},
  Publisher                = {Springer-Verlag},
  Year                     = {1974},

  Address                  = {Berlin Heidelberg}
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@Book{Gudder1979,
  Title                    = {Stochastic Methods in Quantum Mechanics},
  Author                   = {S. P. Gudder},
  Publisher                = {Elsevier North-Holland},
  Year                     = {1979},

  Address                  = {New York}
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@Article{Guille2011,
  Title                    = {The Minimal Set of {I}ngleton Inequalities},
  Author                   = {Guille, L. and Chan, T. and Grant, A.},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2011},

  Month                    = {April},
  Number                   = {4},
  Pages                    = {1849-1864},
  Volume                   = {57},

  Doi                      = {10.1109/TIT.2011.2111890},
  ISSN                     = {0018-9448},
  Keywords                 = {entropy codes;linear codes;linear programming;matrix algebra;network coding;set theory;source coding;Ingleton inequality constraint;entropy function;linear code;linear programming;linear subspace;minimal set;multisource network coding;random variable;representable matroids;Context;Cramer-Rao bounds;Entropy;Network coding;Random variables;Vectors;Entropy functions;Ingleton inequalities;Shannon inequalities}
}

@Article{Gulko1999,
  Title                    = {The Entropy Theory of Stock Option Pricing},
  Author                   = {Les Gulko},
  Journal                  = {International Journal of Theoretical and Applied Finance},
  Year                     = {1999},
  Pages                    = {331-355},
  Volume                   = {2}
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@Book{Gullberg1997,
  Title                    = {Mathematics, From Birth of Numbers},
  Author                   = {Jan Gullberg},
  Publisher                = {Norton \& Co.},
  Year                     = {1997},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.04.01}
}

@Article{Guo2005,
  Title                    = {Mutual Information and Minimum Mean-Square Error in {G}aussian Channels},
  Author                   = {D. Guo and S. Shamai and S. Verd{\'u}},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2005},

  Month                    = {April},
  Pages                    = {1261-1283},
  Volume                   = {51}
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  Year                     = {1994},
  Pages                    = {245-248},
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@Electronic{Gyorfi2012,
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  year         = {2012},
  url          = {http://www.harremoes.dk/Peter/ITWGauss.pdf},
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  timestamp    = {2012.04.17},
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@WWW{Gyoerfi2012a,
  author    = {L. Gy{\"o}rfi and P. Harremo{\"e}s and T. Tusn{\'a}dy},
  title     = {Some Refinements of Large Deviation Tail Probabilities},
  year      = {2012},
  url       = {http://arxiv.org/pdf/1205.1005v1.pdf},
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  month     = {May},
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@InProceedings{Gyorfi2000,
  Title                    = {Information-theoretic methods in testing the goodness-of-fit},
  Author                   = {L. Gy{\"o}rfi and G. Morvai and I. Vajda},
  Booktitle                = {Proc. International Symposium on Information Theory, Sorrento, Italy, June25-30},
  Year                     = {2000},
  Pages                    = {28}
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@TechReport{Gyorfi2000a,
  Title                    = {Asymptotic results for information-theoretic and statistical criteria ofgoodness of fit},
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  Institution              = {Institute of Information Theory and Automation},
  Year                     = {1999},

  Address                  = {Prague},
  Month                    = {Dec.},
  Number                   = {1961},
  Type                     = {Res. Rep.},

  Owner                    = {ph},
  Timestamp                = {2007.02.28}
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@Article{Gyorfi2002,
  Title                    = {Asymptotic distributions for goodness-of-fit statistics in a sequence of multinomial models},
  Author                   = {L. Gy{\"o}rfi and I. Vajda},
  Journal                  = {Stat. Probab. Letters},
  Year                     = {2002},
  Number                   = {1},
  Pages                    = {57-67},
  Volume                   = {56}
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@Article{Gyorfi2001,
  Title                    = {A class of modified {P}earson and {N}eyman statistics},
  Author                   = {L. Gy{\"o}rfi and I. Vajda},
  Journal                  = {Statistics and Decisions},
  Year                     = {2001},
  Pages                    = {239-251},
  Volume                   = {19}
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@Article{Gyorgy2000,
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  Journal                  = {IEEE Trans. Inform. Theory},
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  Month                    = {Nov.},
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@Article{Hajek1958,
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  Journal                  = {Czechoslovak Mathematical Journal},
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  Note                     = {In Russian with English summary.},
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  Pages                    = {610--618},
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@Article{Hajek1958a,
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  Journal                  = {Czechoslovak Math. J.},
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  Pages                    = {460-463},
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@Book{Hormander1994,
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  Publisher                = {Birkh{\"a}user},
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@Article{Haar1933,
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  Volume                   = {34},

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  Publisher                = {Cambridge University Press},
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@Article{Halliwell2004,
  Title                    = {A refinement of an inequality from information theory},
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  Year                     = {2004},
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  Pages                    = {Article 3, 1-3},
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  Publisher                = {D. van Nostrand and Co.},
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@Article{Halsey1986,
  Title                    = {Fractal measures and their singularities: The characterization of strangesets},
  Author                   = {T. C. Halsey and M. H. Jensen and L. P. Kadanoff and I. Procaccia and B.I.Shraiman},
  Journal                  = {Phys. Rev. A},
  Year                     = {1986},

  Month                    = {Feb.},
  Number                   = {2},
  Pages                    = {1141-1151},
  Volume                   = {33},

  Doi                      = {10.1103/PhysRevA.33.1141},
  Owner                    = {ph},
  Publisher                = {American Physical Society},
  Timestamp                = {2008.02.27}
}

@TechReport{Hampel1999,
  Title                    = {A Sketch of a unifying Statistical Theory},
  Author                   = {F. Hampel},
  Institution              = {Eidgen{\"o}ssische Technische Hochschule (ETH)},
  Year                     = {1999},

  Address                  = {Z{\"u}rich, Schweiz},
  Month                    = {Feb.},
  Number                   = {86},
  Type                     = {Research Report}
}

@TechReport{Hampel1998,
  Title                    = {On the Foundation of Statistics: A Frequentist Approach},
  Author                   = {F. Hampel},
  Institution              = {Eidgen{\"o}ssische Technische Hochschule (ETH)},
  Year                     = {1998},

  Address                  = {Z{\"u}rich, Schweiz},
  Month                    = {June},
  Number                   = {85},
  Type                     = {Research Report}
}

@Article{Hamza1995,
  Title                    = {The smallest uniform upper bound on the distance between the mean and the median of the binomial and {P}oisson distributions},
  Author                   = {K. Hamza},
  Journal                  = {Statistics and Probability Letters},
  Year                     = {1995},
  Pages                    = {21-25},
  Volume                   = {23},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.21}
}

@Article{Han1995,
  Title                    = {Parameter estimation with multiterminal data compression},
  Author                   = {Te Sun Han and Amari, S.},
  Journal                  = {Information Theory, IEEE Transactions on},
  Year                     = {1995},

  Month                    = {Nov.},
  Number                   = {6},
  Pages                    = {1802--1833},
  Volume                   = {41},

  Doi                      = {10.1109/18.476308},
  Owner                    = {ph},
  Timestamp                = {2007.02.18}
}

@Book{Hardy1959,
  Title                    = {Inequalities},
  Author                   = {G. H. Hardy and J. E. Littlewood and G. P{\'o}lya},
  Publisher                = {Cambridge University Press},
  Year                     = {1959},

  Address                  = {Cambridge},
  Edition                  = {second edition}
}

@Book{Hardy1915,
  Title                    = {The general Theory of {D}irichlet's series},
  Author                   = {G. H. Hardy and M. Riesz},
  Publisher                = {Cambridge Univ. Press},
  Year                     = {1915},

  Address                  = {London}
}

@Unpublished{Harremoees2009,
  author = {P. Harremo{\"e}s and F. Tops{\o}e},
  title  = {Instances of Exact Optimal Prediction},
  year   = {2009},
  note   = {In preparation},
}

@InProceedings{Harremoes2007g,
  Title                    = {Projections Maximizing {T}sallis Entropy},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Complexity, Metastability, and Nonextensivity: An Interactive Conference,Catania, Italy, 1-5 July 2007},
  Year                     = {2007},
  Editor                   = {A. Rapisarda et al.},
  Month                    = {Dec.},
  Pages                    = {90-95},
  Publisher                = {American Institute of Physics},
  Series                   = {Mathematical and Statistical Physics},
  Volume                   = {965},

  Owner                    = {ph},
  Refereed                 = {yes},
  Theme                    = {INS4},
  Timestamp                = {2007.09.21},
  Url                      = {http://proceedings.aip.org/proceedings/confproceed/965.jsp}
}

@InCollection{Harremoes2006b,
  Title                    = {Lower Bounds for Divergence in the Central Limit Theorem},
  Author                   = {Peter Harremo{\"e}s},
  Booktitle                = {General Theory of Information Transfer and Combinatorics},
  Publisher                = {Springer-Verlag},
  Year                     = {2006},

  Address                  = {Berlin Heidelberg},
  Editor                   = {R. Ahlswede and L. B{\"a}umer and N. Cai and H. K. Aydinian and V. Blinovskyand C. Deppe and H. Mashurian},
  Pages                    = {578-594},
  Series                   = {Lecture Notes in Computer Science},
  Volume                   = {4123},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/ratesub.pdf}
}

@InProceedings{Harremoes2009c,
  Title                    = {Dutch Books and Combinatorial Games},
  Author                   = {Peter Harremo{\"e}s},
  Booktitle                = {Proceedingsof the Sixth International Symposium on Imprecise Probability: Theory and Applications},
  Year                     = {2009},

  Address                  = {Durham, United Kingdom},
  Editor                   = {T. Augustin and F. Coolen and S. Moral and M. Troffaes},
  Month                    = {July},
  Organization             = {SIPTA},
  Pages                    = {229-238},

  File                     = {:http\://www.harremoes.dk/Peter/GameISIPTA2009b.pdf:PDF},
  Owner                    = {ph},
  Timestamp                = {2009.03.18},
  Url                      = {http://arxiv.org/abs/0903.5429}
}

@InCollection{Harremoes2007e,
  Title                    = {Information Topologies with Applications},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Entropy, Search, Complexity},
  Publisher                = {J{\'a}nos Bolyai Mathematical Society and Springer-Verlag},
  Year                     = {2007},
  Editor                   = {I. Csisz{\'a}r and Gyula O. H Katona and G{\'a}bot Tardos},
  Pages                    = {113-150},
  Series                   = {Bolyai Society Mathematical Studies},
  Volume                   = {16},

  Organization             = {Bolyai Society},
  Refereed                 = {yes},
  Theme                    = {INS4},
  Url                      = {http://www.harremoes.dk/Peter/inftopfi.pdf}
}

@InProceedings{Harremoes2015a,
  author    = {P. Harremo{\"e}s},
  title     = {Proper Scoring and Sufficiency},
  booktitle = {Proceeding of the The Eighth Workshop on Information Theoretic Methods in Science and Engineering},
  year      = {2015},
  editor    = {J. Rissanen and P. Harremo{\"e}s and S. Forchhammer and T. Roos and P. Myllym{\"a}ke},
  series    = {Series of Publications B},
  number    = {Report B-2015-1},
  pages     = {19-22},
  url       = {http://www.cs.helsinki.fi/u/ttonteri/pub/witmse2015proceedings.pdf
http://arxiv.org/abs/1507.07089},
  address   = {University of Helsinki, Department of Computer Science},
  owner     = {peth},
  timestamp = {2015.12.24},
}

@InProceedings{Harremoes2011g,
  author       = {Peter Harremo{\"e}s},
  title        = {Functional Dependences and {B}ayesian Networks},
  booktitle    = {Proceedings WITMSE 2011},
  year         = {2011},
  editor       = {Jorma Rissanen and Petri Myllym{\ae}ki and Teemu Roos, Ioan Tabus and Kenji Yamanishi},
  series       = {Series of Publications C},
  number       = {Report C-2011-45},
  organization = {Dept. Comp. Science, Univ. Helsinki},
  pages        = {35-38},
  url          = {http://www.helsinki.fi/witmse2011/witmse2011-proceedings.pdf},
  file         = {The file at my homepage:www.harremoes.dk/Peter/FunctionalWITSME.pdf:PDF},
  owner        = {Peter Harremoes},
  timestamp    = {2011.08.27},
}

@InCollection{Harremoes2001b,
  Title                    = {Epic p{\aa} {G}randes {J}orrasses},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Fra Dr{\o}m til Virkelighed, Dansk Bjergklubs Jubel{\ae}unsantologi},
  Publisher                = {Dansk Bjergklub},
  Year                     = {2001},
  Editor                   = {S{\o}ren Smidt},
  Pages                    = {62-67},

  Owner                    = {ph},
  Timestamp                = {2007.01.16}
}

@Article{Harremoes2016,
  author      = {P. Harremo{\"e}s},
  title       = {Bounds on tail probabilities for negative binomial distributions},
  journal     = {Kybernetika},
  year        = {2016},
  date        = {2016-01-20},
  volume      = {52},
  number      = {6},
  month       = {feb},
  pages       = {943-966},
  doi         = {10.14736/kyb-2016-6-0943},
  eprint      = {1601.05179},
  eprintclass = {math.PR},
  eprinttype  = {arXiv},
  url         = {arxiv.org/abs/1601.05179},
  abstract    = {In this paper we present various new inequalities for tail proabilities for distributions that are elements of the most improtant exponential families. These families include the Poisson distributions, the Gamma distributions, the binomial distributions, the negative binomial distributions and the inverse Gaussian distributions. All these exponential families have simple variance functions and the variance functions play an important role in the exposition. All the inequalities presented in this paper are formulated in terms of the signed log-likelihood. The inequalities are of a qualitative nature in that they can be formulated either in terms of stochastic domination or in terms of an intersection property that states that a certain discrete distribution is very close to a certain continuous distribution.},
  file        = {online:http\://arxiv.org/pdf/1601.05179v2:PDF},
  keywords    = {math.PR, 60E15},
  publisher   = {Institute of Information Theory and Automation},
}

@Unpublished{Harremoes2016a,
  author = {P. Harremo{\"e}s},
  title  = {Sufficiency on the Stock Market},
  year   = {2016},
  note   = {arXiv:1601.07593},
  month  = {Jan.},
}

@Unpublished{Harremoes2016c,
  author    = {P. Harremo{\"e}s},
  title     = {Influence diagrams as convex geometries},
  year      = {2017},
  note      = {In preparation},
  url       = {www.harremoes.dk/Peter/FunctionalDAG.pdf},
  owner     = {Ejer},
  timestamp = {2015.01.13},
}

@InProceedings{Harremoes2015,
  author     = {Peter Harremo{\"e}s},
  title      = {Lattices with non-Shannon inequalities},
  booktitle  = {2015 IEEE International Symposium on Information Theory},
  year       = {2015},
  eventtitle = {ISIT 2015},
  eventdate  = {June 14-19, 2015},
  venue      = {Hong Kong, China},
  publisher  = {IEEE},
  isbn       = {978-1-4673-7704-1},
  pages      = {740-744},
  doi        = {http://dx.doi.org/10.1109/ISIT.2015.7282553},
  url        = {http://arxiv.org/abs/1502.04336},
  citedby    = {0},
  cites      = {0},
  researchr  = {http://researchr.org/publication/Harremoes15},
}

@Unpublished{Harremoes2012a,
  author   = {P. Harremo{\"e}s},
  title    = {Probability and Information - {O}ccam's Razor in Action},
  year     = {2017},
  note     = {Book in preparation},
  refereed = {no},
  theme    = {INS4},
}

@InProceedings{Harremoes2014,
  author       = {P. Harremo{\"e}s},
  title        = {Mutual information of Contingency Tables and Related Inequalities},
  booktitle    = {2014 IEEE International Symposium on Information Theory},
  year         = {2014},
  eventtitle   = {ISIT2014},
  organization = {IEEE},
  month        = {June},
  pages        = {2474-2478},
  url          = {http://arxiv.org/abs/1402.0092 http://www.harremoes.dk/Peter/mutualarXiv.pdf},
  owner        = {Ejer},
  timestamp    = {2014.02.04},
}

@InProceedings{Harremoes2013,
  Title                    = {Extendable {MDL}},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {International Symposium on Information Theory},
  Year                     = {2013},

  Address                  = {Boston},
  Month                    = {July},
  Organization             = {IEEE},
  Pages                    = {1516-1520},

  Owner                    = {Peter},
  Timestamp                = {2014.01.05},
  Url                      = {http://arxiv.org/abs/1301.6465}
}

@Unpublished{Harremoes2011e,
  Title                    = {Is Zero a Natural Number?},
  Author                   = {P. Harremo{\"e}s},
  Note                     = {Draft},

  Month                    = {Feb.},
  Year                     = {2011},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.02.02},
  Url                      = {http://arxiv.org/abs/1102.0418}
}

@InProceedings{Harremoes2010b,
  Title                    = {Information Theory for Angular Data},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Proceedings Information Theory Workshop, Cairo},
  Year                     = {2010},
  Month                    = {Jan.},
  Organization             = {IEEE},
  Pages                    = {181-185},

  Owner                    = {ph},
  Timestamp                = {2008.06.25},
  Url                      = {www.harremoes.dk/Peter/1569245443.pdf}
}

@InProceedings{Harremoes2008g,
  Title                    = {Testing {G}oodness-of-{F}it via Rate Distortion},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Information Theory Workshop, Volos, Greece, 2009},
  Year                     = {2009},
  Organization             = {IEEE},
  Pages                    = {17-21},

  File                     = {Ratetest3.pdf:www.harremoes.dk/Peter/Ratetest3.pdf:PDF},
  Owner                    = {ph},
  Timestamp                = {2008.06.25},
  Url                      = {http://arxiv.org/abs/0903.5426}
}

@Article{Harremoes2009a,
  Title                    = {Entropy - New {E}ditor-in-{C}hief and Outlook},
  Author                   = {P. Harremo{\"e}s},
  Journal                  = {Entropy},
  Year                     = {2009},
  Number                   = {11},
  Pages                    = {1-3},
  Volume                   = {11},

  Doi                      = {10.3390/e11010001},
  Owner                    = {ph},
  Timestamp                = {2009.01.06},
  Url                      = {http://www.mdpi.com/1099-4300/11/1/1}
}

@Article{Harremoes2009d,
  Title                    = {Maximum Entropy on Compact groups},
  Author                   = {P. Harremo{\"e}s},
  Journal                  = {Entropy},
  Year                     = {2009},
  Number                   = {2},
  Pages                    = {222--237},
  Volume                   = {11},

  Doi                      = {10.3390/e11020222},
  File                     = {:http\://www.harremoes.dk/Peter/compgroup.pdf:PDF},
  Owner                    = {ph},
  Timestamp                = {2009.03.18},
  Url                      = {http://mdpi.com/1099-4300/11/2/222}
}

@Article{Harremoes2009f,
  Title                    = {Joint Range of {R}{\'e}nyi Entropies},
  Author                   = {Peter Harremo{\"e}s},
  Journal                  = {Kybernetika},
  Year                     = {2009},

  Month                    = {Dec.},
  Number                   = {6},
  Pages                    = {901-911},
  Volume                   = {45},

  Owner                    = {ph},
  Timestamp                = {2009.04.16},
  Url                      = {http://arxiv.org/abs/0904.2477}
}

@Article{Harremoes2008b,
  Title                    = {Some New Maximal Inequalities},
  Author                   = {P. Harremo{\"e}s},
  Journal                  = {Stat. Probab. Letters},
  Year                     = {2008},

  Month                    = {Nov.},
  Number                   = {16},
  Pages                    = {2776-2780},
  Volume                   = {78},

  Doi                      = {10.1016/j.spl.2008.03.028},
  Owner                    = {ph},
  Refereed                 = {yes},
  Theme                    = {INS4},
  Timestamp                = {2007.01.16},
  Url                      = {www.harremoes.dk/Peter/sarticlef.pdf}
}

@InProceedings{Harremoes2006,
  Title                    = {Maximum Entropy on Compact Groups},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Proceedings of Interntational Symposium on Information Theory},
  Year                     = {2006},

  Address                  = {Seattle, USA},
  Month                    = {9-14. July},
  Organization             = {IEEE},
  Pages                    = {108-112},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/compgro.pdf}
}

@InProceedings{Harremoes2006c,
  Title                    = {Thinning and the Law of Small Numbers},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Proceedings Prague Stochastics},
  Year                     = {2006},

  Address                  = {Prague},
  Month                    = {August},
  Pages                    = {388-395},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/ThinPrague.pdf}
}

@Article{Harremoes2006d,
  Title                    = {Interpretations of {R}{\'e}nyi Entropies and Divergences},
  Author                   = {P. Harremo{\"e}s},
  Journal                  = {Physica A: Statistical Mechanics and its Applications},
  Year                     = {2006},

  Month                    = {June},
  Number                   = {1},
  Pages                    = {57-62},
  Volume                   = {365},

  Url                      = {http://arxiv.org/abs/math-ph/0510002}
}

@InProceedings{Harremoes2006e,
  Title                    = {Directed Information and Conditional Mutual Information},
  Author                   = {Peter Harremo{\"e}s},
  Booktitle                = {ITA's inaugural workshop},
  Year                     = {2006},

  Address                  = {San Diego},
  Month                    = {Feb.},
  Organization             = {UCSD},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.06.22},
  Url                      = {http://ita.ucsd.edu/workshop/06/talks/papers/71.pdf}
}

@InProceedings{Harremoes2005a,
  Title                    = {Maximum Entropy and the {E}dgeworth Expansion},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Proceedings Information Theory Workshop},
  Year                     = {2005},

  Address                  = {Roturoa, New Zealand},
  Month                    = {28. Aug. - 1. Sept.},
  Organization             = {IEEE},
  Pages                    = {68-71},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/RateNew.pdf}
}

@InProceedings{Harremoes2005b,
  Title                    = {Martingales and Information Divergence},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Proceedings of 2005 {IEEE} International Symposium on Information Theory},
  Year                     = {2005},

  Address                  = {Adelaide, Australia},
  Month                    = {Sept.},
  Organization             = {IEEE},
  Pages                    = {164-168},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/martingale.pdf}
}

@Article{Harremoes2005c,
  Title                    = {Lower Bounds on Divergence in Central Limit Theorem},
  Author                   = {P. Harremo{\"e}s},
  Journal                  = {Electronic Notes in Discrete Mathematics},
  Year                     = {2005},

  Month                    = {Aug.},
  Pages                    = {309-313},
  Volume                   = {21},

  Url                      = {http://www.harremoes.dk/Peter/ENDMclt.pdf}
}

@InProceedings{Harremoes2004a,
  Title                    = {The Weak Information Projection},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Proceedings 2004 {IEEE} International Symposium on Information Theory},
  Year                     = {2004},

  Address                  = {Chicago},
  Month                    = {June-July},
  Organization             = {IEEE},
  Pages                    = {28},

  Url                      = {http://www.harremoes.dk/Peter/harremoes.pdf}
}

@InProceedings{Harremoes2004b,
  Title                    = {A New Look on Majorization},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Proceedings {ISITA} 2004},
  Year                     = {2004},

  Address                  = {Parma, Italy},
  Month                    = {Oct.},
  Pages                    = {1422-1425},

  Url                      = {http://www.harremoes.dk/Peter/majoriza.pdf}
}

@TechReport{Harremoes2003,
  Title                    = {Convergence to the {P}oisson Distribution in Information Divergence},
  Author                   = {P. Harremo{\"e}s},
  Institution              = {Mathematical department, University of Copenhagen},
  Year                     = {2003},
  Month                    = {Feb.},
  Number                   = {2},
  Type                     = {Preprint},

  Series                   = {Preprint series},
  Url                      = {http://www.harremoes.dk/Peter/poisprep.pdf}
}

@InProceedings{Harremoes2003a,
  Title                    = {Lower bound on rate of convergence in information theoretic Central LimitTheorem},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Book of Abstracts for the Seventh International Symposium on OrthogonalPolynomials,Special functions and Applications},
  Year                     = {2003},

  Address                  = {Copenhagen},
  Month                    = {18-22. August},
  Pages                    = {53-54},

  Url                      = {http://www.harremoes.dk/Peter/ortogonal.pdf}
}

@InProceedings{Harremoes2002a,
  Title                    = {Topologies associated with Information Divergence},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Book of {A}bstracts, $24^{th}$ {E}uropean {M}eeting of {S}tatisticians},
  Year                     = {2002},

  Address                  = {Prague},
  Month                    = {August},
  Pages                    = {216},

  Url                      = {http://www.harremoes.dk/Peter/prag.pdf}
}

@Unpublished{Harremoes2002b,
  Title                    = {An Interpretation of Squared Skewness minus Excess Kurtosis},
  Author                   = {P. Harremo{\"e}s},
  Note                     = {Unpublished},

  Month                    = {Oct.},
  Year                     = {2002}
}

@InProceedings{Harremoes2002c,
  Title                    = {The Information Topology},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Proceedings {IEEE} International Symposium on Information Theory},
  Year                     = {2002},

  Address                  = {Lausanne},
  Month                    = {June},
  Organization             = {IEEE},
  Pages                    = {431},

  Doi                      = {10.1109/ISIT.2002.1023703},
  Url                      = {http://www.harremoes.dk/Peter/isit70.pdf}
}

@Article{Harremoes2001,
  Title                    = {Tilbageregning og typeteori},
  Author                   = {P. Harremo{\"e}s},
  Journal                  = {LMFK-bladet},
  Year                     = {2001},

  Month                    = {August},
  Number                   = {8},
  Volume                   = {23},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/typeteo.pdf}
}

@Article{Harremoes2001a,
  Title                    = {Talpar med given afstand i {E}ulers restm{\ae}ngder},
  Author                   = {P. Harremo{\"e}s},
  Journal                  = {LMFK-bladet},
  Year                     = {2001},

  Month                    = {August},
  Number                   = {8},
  Volume                   = {23},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/Talpar.doc}
}

@Article{Harremoes2001c,
  Title                    = {Binomial and {P}oisson Distributions as Maximum Entropy Distributions},
  Author                   = {P. Harremo{\"e}s},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2001},

  Month                    = {July},
  Number                   = {5},
  Pages                    = {2039-2041},
  Volume                   = {47},

  Url                      = {http://www.harremoes.dk/Peter/poisson.pdf}
}

@InProceedings{Harremoes2001e,
  Title                    = {Poisson's Law and Information Theory},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Proceedings 2001 {IEEE} International Symposium on Information Theory},
  Year                     = {2001},

  Address                  = {Washington},
  Month                    = {June},
  Organization             = {IEEE},
  Pages                    = {46},

  Url                      = {http://www.harremoes.dk/Peter/381.pdf}
}

@InProceedings{Harremoes2001f,
  Title                    = {Convergence to {P}oisson Distribution},
  Author                   = {P. Harremo{\"e}s},
  Booktitle                = {Proceedings of conference in Computer Science and Information Technologies},
  Year                     = {2001},

  Address                  = {Yerevan, Armenia},
  Month                    = {September},
  Pages                    = {224-228},

  Url                      = {http://www.harremoes.dk/Peter/csit.pdf}
}

@Article{Harremoes2000,
  Title                    = {Talnotation},
  Author                   = {P. Harremo{\"e}s},
  Journal                  = {LMFK-bladet},
  Year                     = {2000},

  Month                    = {May},
  Number                   = {5},
  Volume                   = {22},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/talnot.pdf}
}

@Book{Harremoes1997a,
  Title                    = {Instrukt{\o}rens H{\aa}ndbog},
  Author                   = {Peter Harremo{\"e}s},
  Publisher                = {Dansk Bjergklub og Dansk Sportsklatreforbund},
  Year                     = {1997},

  Address                  = {K{\o}benhavn},

  ISBN                     = {87-985058-5-8},
  Owner                    = {ph},
  Timestamp                = {2007.01.16}
}

@Book{Harremoes1995,
  Title                    = {Klatring p{\aa} Kullen},
  Author                   = {P. Harremo{\"e}s},
  Publisher                = {Dansk Bjergklub},
  Year                     = {1995},

  Address                  = {K{\o}benhavn},

  ISBN                     = {87-5058-0-7},
  Owner                    = {ph},
  Timestamp                = {2007.01.16}
}

@Book{Harremoes1993,
  author    = {P. Harremo{\"e}s},
  title     = {Time and Conditional Independence},
  year      = {1993},
  volume    = {255},
  series    = {IMFUFA-tekst},
  note      = {Original in Danish entitled Tid og Betinget Uafh{\ae}ngighed. English translation partially available},
  publisher = {IMFUFA Roskilde University},
  school    = {Roskilde University},
  type      = {Ph.D. Thesis},
}

@MastersThesis{Harremoes1989,
  Title                    = {Minimumdiscriminationinformationsprincippet},
  Author                   = {P. Harremo{\"e}s},
  School                   = {Math. Dept.},
  Year                     = {1989},

  Address                  = {Univ. Copenhagen},
  Month                    = {Jan.}
}

@Book{Harremoes1997,
  Title                    = {Klatrev{\ae}gsklatring},
  Author                   = {P. Harremo{\"e}s and O. Bruds{\o}e},
  Publisher                = {Dansk Bjergklub og Dansk Sportsklatreforbund},
  Year                     = {1997},

  Address                  = {K{\o}benhavn},
  Edition                  = {2nd edition},

  ISBN                     = {87-985058-6-6},
  Owner                    = {ph},
  Timestamp                = {2007.01.16}
}

@Book{Harremoes1996,
  Title                    = {Klatrev{\ae}gsklatring},
  Author                   = {P. Harremo{\"e}s and O. Bruds{\o}e},
  Publisher                = {Dansk Bjergklub og Dansk Sportsklatreforbund},
  Year                     = {1996},

  Address                  = {K{\o}benhavn},
  Edition                  = {1st edition},

  Owner                    = {ph},
  Timestamp                = {2007.01.16}
}

@Book{Harremoes1995a,
  Title                    = {Klippeklatring},
  Author                   = {P. Harremo{\"e}s and O. Bruds{\o}e},
  Publisher                = {Dansk Bjergklub},
  Year                     = {1995},

  Address                  = {K{\o}benhavn},
  Edition                  = {1st edition},

  ISBN                     = {87-985058-2-3},
  Owner                    = {ph},
  Timestamp                = {2007.01.16}
}

@Article{Harremoes2009,
  Title                    = {Convergence of {M}arkov Chains in Information Divergence},
  Author                   = {P. Harremo{\"e}s and K. K. Holst},
  Journal                  = {Journal of Theoretical Probability},
  Year                     = {2009},
  Pages                    = {186-202},
  Volume                   = {22},

  Doi                      = {10.1007/s10959-007-0133-7},
  Owner                    = {ph},
  Refereed                 = {yes},
  Theme                    = {INS4},
  Timestamp                = {2007.10.30},
  Url                      = {http://www.springerlink.com/content/k64ux55205|170k1/fulltext.pdf}
}

@Book{Harremoes2000a,
  Title                    = {Klippeklatring},
  Author                   = {P. Harremo{\"e}s and T. Johansen},
  Publisher                = {Dansk Bjergklub},
  Year                     = {2000},

  Address                  = {K{\o}benhavn},
  Edition                  = {2nd edition},
  Note                     = {ISBN 87-987696-2-6},

  Owner                    = {ph},
  Timestamp                = {2007.01.16}
}

@Unpublished{Harremoes2016b,
  Title                    = {Thinning and Information Projections},
  Author                   = {P. Harremo{\"e}s and O. Johnson and I. Kontoyiannis},
  Note                     = {arXiv:1601.04255},

  Month                    = {Jan.},
  Year                     = {2016},

  Owner                    = {peth},
  Timestamp                = {2016.01.22},
  Url                      = {http://arxiv.org/abs/1601.04255}
}

@Article{Harremoes2010c,
  Title                    = {Thinning, Entropy and the Law of Thin Numbers},
  Author                   = {P. Harremo{\"e}s and O. Johnson and I. Kontoyiannis},
  Journal                  = {IEEE Trans. Inform Theory},
  Year                     = {2010},

  Month                    = {Sept.},
  Number                   = {9},
  Pages                    = {4228 - 4244},
  Volume                   = {56},

  Doi                      = {10.1109/TIT.2010.2053893},
  File                     = {:http\://www.harremoes.dk/Peter/UBthin4.pdf:PDF},
  Owner                    = {ph},
  Timestamp                = {2009.06.02},
  Url                      = {http://arxiv.org/abs/0906.0690}
}

@InProceedings{Harremoes2008c,
  author       = {P. Harremo{\"e}s and O. Johnson and I. Kontoyiannis},
  title        = {Thinning and Information Projection},
  booktitle    = {2008 IEEE International Symposium on Information Theory},
  year         = {2008},
  organization = {IEEE},
  month        = {July},
  pages        = {2644-2648},
  url          = {www.harremoes.dk/Peter/ThinISIT08final.pdf},
  owner        = {ph},
  timestamp    = {2008.04.01},
}

@InProceedings{Harremoes2007b,
  author       = {P. Harremo{\"e}s and O. Johnson and I. Kontoyiannis},
  title        = {Thinning and the Law of Small Numbers},
  booktitle    = {2007 IEEE International Symposium on Information Theory},
  year         = {2007},
  eventtitle   = {ISIT2007},
  venue        = {Nice, France},
  organization = {IEEE Information Theory Society},
  month        = {June},
  pages        = {1491-1495},
  url          = {www.harremoes.dk/Peter/Isit2thin.pdf},
  owner        = {ph},
  refereed     = {yes},
  theme        = {INS4},
  timestamp    = {2007.01.16},
}

@Article{Harremoes2004,
  Title                    = {Rate of Convergence to {P}oisson Law in Terms of Information Divergence},
  Author                   = {P. Harremo{\"e}s and P. Ruzankin},
  Journal                  = {IEEE Trans. Inform Theory},
  Year                     = {2004},

  Month                    = {Sept.},
  Number                   = {9},
  Pages                    = {2145-2149},
  Volume                   = {50},

  Url                      = {http://www.harremoes.dk/Peter/rcplid4.pdf}
}

@InProceedings{Harremoes2007a,
  author       = {P. Harremo{\"e}s and N. Tishby},
  title        = {The Information Bottleneck Revisited or How to Choose a Good Distortion Measure},
  booktitle    = {2007 IEEE International Symposium on Information Theory},
  year         = {2007},
  venue        = {Nice},
  organization = {IEEE Information Theory Society},
  month        = {June},
  pages        = {566-570},
  url          = {https://doi.org/10.1109/ISIT.2007.4557285},
  owner        = {ph},
  refereed     = {yes},
  theme        = {INS4},
  timestamp    = {2007.01.16},
}

@Article{Harremoes2001g,
  Title                    = {Maximum Entropy Fundamentals},
  Author                   = {P. Harremo{\"e}s and F. Tops{\o }e},
  Journal                  = {Entropy},
  Year                     = {2001},

  Month                    = {Sept.},
  Number                   = {3},
  Pages                    = {191-226},
  Volume                   = {3},

  Url                      = {http://www.unibas.ch/mdpi/entropy/papers/e3030191.pdf}
}

@InCollection{Harremoe2007,
  Title                    = {The Quantitative Theory of Information},
  Author                   = {P. Harremo{\"e}s and F. Tops{\o}e},
  Booktitle                = {Handbook of Philosophy of Information},
  Publisher                = {Elsivier},
  Year                     = {2008},
  Chapter                  = {Part C},
  Editor                   = {J. {van Benthem} and P. Adriaans},
  Pages                    = {171-216},
  Series                   = {Handbook of the Philosophy of Science},
  Volume                   = {8},

  File                     = {http:www.harremoes.dk/Peter/Handbook.pdf:PDF},
  ISBN                     = {044451726X},
  Owner                    = {ph},
  Refereed                 = {yes},
  Theme                    = {INS4},
  Url                      = {http://www.harremoes.dk/Peter/Volume8.ps.gz}
}

@Article{Harremoes2005,
  Title                    = {Zipf's law, hyperbolic distributions and entropy loss},
  Author                   = {P. Harremo{\"e}s and F. Tops{\o}e},
  Journal                  = {Electronic Notes in Discrete Mathematics},
  Year                     = {2005},

  Month                    = {Aug.},
  Pages                    = {315-318},
  Volume                   = {21},

  Url                      = {http://www1.elsevier.com/gej-ng/31/29/24/show/Products/notes/contents.htt}
}

@InProceedings{Harremoes2002,
  Title                    = {Unified Approach to Optimisation Techniques in {S}hannon Theory},
  Author                   = {P. Harremo{\"e}s and F. Tops{\o}e},
  Booktitle                = {Proceedings of the {IEEE} International Symposium on Information Theory},
  Year                     = {2002},

  Address                  = {Lausanne},
  Month                    = {June},
  Organization             = {IEEE},
  Pages                    = {238},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/isit158.pdf}
}

@InProceedings{Harremoes2002d,
  Title                    = {Zipf's law, hyperbolic distributions and entropy loss},
  Author                   = {P. Harremo{\"e}s and F. Tops{\o}e},
  Booktitle                = {Proceedings of the {IEEE} International Symposium on Information Theory},
  Year                     = {2002},

  Address                  = {Lausanne},
  Month                    = {June},
  Organization             = {IEEE},
  Pages                    = {207},

  Url                      = {http://www.math.ku.dk/~topsoe/ISIT2002procZipf.pdf}
}

@InProceedings{Harremoes2001d,
  Title                    = {Information Diagrams: Entropy, Index of Coincidence and Probability of Error},
  Author                   = {P. Harremo{\"e}s and F. Tops{\o}e},
  Booktitle                = {Proceedings {IEEE} International Symposium on Information Theory},
  Year                     = {2001},

  Address                  = {Washington},
  Month                    = {June},
  Organization             = {IEEE},
  Pages                    = {43},

  Url                      = {http://www.math.ku.dk/~topsoe/ISIT2001.Diagrams.pdf}
}

@Article{Harremoes2001h,
  Title                    = {Inequalities between Entropy and Index of Coincidence derived from Information Diagrams},
  Author                   = {P. Harremo{\"e}s and F. Tops{\o}e},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2001},

  Month                    = {Nov.},
  Number                   = {7},
  Pages                    = {2944-2960},
  Volume                   = {47},

  File                     = {Inf.Diagrams.pdf:http\://www.math.ku.dk/~topsoe/Inf.Diagrams.pdf:PDF},
  Url                      = {http://www.math.ku.dk/~topsoe/Inf.Diagrams.pdf}
}

@InProceedings{Harremoes2012,
  author       = {P. Harremo{\"e}s and G. Tusn{\'a}dy},
  title        = {Information Divergence is more $\chi^2$-distributed than the $\chi^2$-statistic},
  booktitle    = {2012 IEEE International Symposium on Information Theory},
  year         = {2012},
  organization = {IEEE},
  month        = {July},
  pages        = {538-543},
  url          = {http://arxiv.org/abs/1202.1125},
  abstract     = {For testing goodness of fit it is very popular to use either the chi squared statistic or G squared statistic (information divergence). Asymptotically both are chi squared distributed so an obvious question is which of the two statistics that has a distribution that is closest to the chi squared distribution. Surprisingly the distribution of information divergence is much better approximated by a chi squared distribution than the chi squared statistic. For random variables we introduce a new transformation that transform several important distributions into new random variables that are almost Gaussian. For the binomial distributions and the Poisson distributions we formulate a general conjecture about how close their transform are to the Gaussian, and this conjecture gives much more accurate estimates of the tail probabilities of these distributions than previously published results. The conjecture is proved for Poisson distributions.},
  address      = {Cambridge, Massachusetts, USA},
  keywords     = {Information divergence; chi squared distribution; chi squared statistic; G-transform.},
}

@Article{Harremoes2011a,
  Title                    = {On Pairs of $f$-divergences and their Joint Range},
  Author                   = {P. Harremo{\"e}s and I. Vajda},
  Journal                  = {IEEE Tranns. Inform. Theory},
  Year                     = {2011},

  Month                    = {June},
  Number                   = {6},
  Pages                    = {3220-3225},
  Volume                   = {57},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.07.01},
  Url                      = {http://www.harremoes.dk/Peter/fdivieeetrans.pdf}
}

@Unpublished{Harremoes2011f,
  Title                    = {On {B}ahadur Efficiency of Power Divergence Statistics},
  Author                   = {P. Harremo{\"e}s and Igor Vajda},
  Note                     = {Submitted},
  Year                     = {2011},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.07.01},
  Url                      = {http://arxiv.org/abs/1002.1493}
}

@InProceedings{Harremoes2010e,
  author       = {P. Harremo{\"e}s and I. Vajda},
  title        = {Joint Range of $f$-divergences},
  booktitle    = {2010 IEEE International Symposium on Informatipon Theory},
  year         = {2010},
  eventtitle   = {ISIT2010},
  organization = {IEEE},
  month        = {June},
  pages        = {1340-1344},
  url          = {http://arxiv.org/abs/1001.4432},
  owner        = {ph},
  timestamp    = {2010.01.26},
}

@Article{Harremoes2008,
  Title                    = {On the {B}ahadur-Efficient Testing of Uniformity by means of the Entropy},
  Author                   = {P. Harremo{\"e}s and I. Vajda},
  Journal                  = {IEEE Trans. Inform Theory},
  Year                     = {2008},

  Month                    = {Jan.},
  Number                   = {1},
  Pages                    = {321-331},
  Volume                   = {54},

  Doi                      = {10.1109/TIT.2007.911155},
  Owner                    = {ph},
  Refereed                 = {yes},
  Theme                    = {INS4},
  Timestamp                = {2007.03.15},
  Url                      = {http://www.harremoes.dk/Peter/Bahadur08.pdf}
}

@TechReport{Harremoes2008d,
  author      = {P. Harremo{\"e}s and I. Vajda},
  title       = {Consistence of various $\phi$-divergence Statistics},
  institution = {Institute of Information Theory and Automation},
  year        = {2008},
  type        = {Research Report {\'U}TIA AV {\v C}R},
  number      = {2218},
  month       = {March},
  url         = {http://www.harremoes.dk/Peter/Consis.pdf},
  address     = {Praha},
  comment     = {no},
  owner       = {ph},
  timestamp   = {2008.03.20},
}

@InProceedings{Harremoes2008e,
  author       = {Peter Harremo{\"e}s and I. Vajda},
  title        = {Efficiency of Entropy Testing},
  booktitle    = {2008 IEEE International Symposium on Information Theory},
  year         = {2008},
  organization = {IEEE},
  month        = {July},
  pages        = {2639-2643},
  url          = {www.harremoes.dk/Peter/BahadurISIT08final.pdf},
  owner        = {ph},
  timestamp    = {2008.04.01},
}

@InProceedings{Harremoes2007,
  Title                    = {Entropy Testing is Efficient},
  Author                   = {P. Harremo{\"e}s and I. Vajda},
  Booktitle                = {Proceedings ISIT 2007, Nice},
  Year                     = {2007},
  Month                    = {June},
  Organization             = {IEEE Information Theory Society},
  Pages                    = {1841-1846},

  Owner                    = {ph},
  Refereed                 = {yes},
  Theme                    = {INS4},
  Timestamp                = {2007.01.16},
  Url                      = {www.harremoes.dk/Peter/BahadurISITnew1.pdf}
}

@Unpublished{Harremoes2011,
  Title                    = {{R}{\'e}nyi Entropies of Marginal Distributions},
  Author                   = {P. Harremo{\"e}s and C. Vignat},
  Note                     = {In prep.},
  Year                     = {2011},

  Owner                    = {ph},
  Refereed                 = {no},
  Theme                    = {INS4},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/Else.pdf}
}

@Unpublished{Harremoes2011d,
  Title                    = {Lower bounds on Information Divergence},
  Author                   = {P. Harremo{\"e}s and C. Vignat},
  Note                     = {Unpublished},
  Year                     = {2011},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.02.20},
  Url                      = {http://arxiv.org/abs/1102.2536}
}

@InProceedings{Harremoes2006a,
  Title                    = {R{\'e}nyi Entropy of Projections},
  Author                   = {P. Harremo{\"e}s and C. Vignat},
  Booktitle                = {Proceedings of 2006 {IEEE} International Symposium on Information Theory},
  Year                     = {2006},

  Address                  = {Seattle, USA},
  Month                    = {9-14 July},
  Organization             = {IEEE},
  Pages                    = {1827-1830},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.harremoes.dk/Peter/alf2.pdf}
}

@Article{Harremoes2004c,
  Title                    = {A {N}ash Equilibrium related to the {P}oisson Channel},
  Author                   = {P. Harremo{\"e}s and C. Vignat},
  Journal                  = {Communications in {I}nformation and {S}ystems},
  Year                     = {2004},

  Month                    = {March},
  Number                   = {3},
  Pages                    = {183-190},
  Volume                   = {3},

  Url                      = {http://www.harremoes.dk/Peter/game.pdf}
}

@Unpublished{Harremoes2004d,
  Title                    = {A short information theoretic proof of {CLT}},
  Author                   = {P. Harremo{\"e}s and C. Vignat},
  Note                     = {In preparation},
  Year                     = {2004}
}

@Article{Harremoes2003b,
  Title                    = {An Entropy Power Inequality for the Binomial Family},
  Author                   = {P. Harremo{\"e}s and C. Vignat},
  Journal                  = {J. Ineq. Pure and Appl. Math.},
  Year                     = {2003},
  Number                   = {5},
  Pages                    = {Article 93},
  Volume                   = {4},

  Url                      = {http://www.harremoes.dk/Peter/epi.pdf}
}

@Book{Hartigan1983,
  Title                    = {Bayes Theory},
  Author                   = {J. A. Hartigan},
  Publisher                = {Springer},
  Year                     = {1983},

  Address                  = {New York}
}

@Misc{Hartl2010,
  Title                    = {The Tau Manifesto},

  Author                   = {M. Hartl},
  HowPublished             = {Website},
  Month                    = {June 28},
  Year                     = {2010},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.18},
  Url                      = {http://www.tauday.com}
}

@Article{Hastings1970,
  Title                    = {Monte {C}arlo Sampling Methods Using {M}arkov Chains and Their Applications},
  Author                   = {W. K. Hastings},
  Journal                  = {Biometrika},
  Year                     = {1970},
  Number                   = {1},
  Pages                    = {97-109},
  Volume                   = {57},

  Owner                    = {ph},
  Timestamp                = {2007.09.11}
}

@Article{Haussler1997,
  Title                    = {A general Minimax Result for Relative Entropy},
  Author                   = {D. Haussler},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1997},
  Pages                    = {1276-1280},
  Volume                   = {43}
}

@Article{Haussler1997a,
  Title                    = {Mutual Information, Metric Entropy and Cumulative Relative Entropy Risk},
  Author                   = {David Haussler and Manfred Opper},
  Journal                  = {The Annals of Statistics},
  Year                     = {1997},
  Number                   = {6},
  Pages                    = {2451--2492},
  Volume                   = {25},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@Article{Havrda1967,
  Title                    = {Quantification method of classification processes. {C}oncept of structural$a$-entropy},
  Author                   = {J. Havrda and F. Charv{\'a}t},
  Journal                  = {Kybernetika},
  Year                     = {1967},
  Note                     = {{R}eview by I. Csisz{\'a}r in {M}{R}, vol. 34, no.8875},
  Pages                    = {30-35},
  Volume                   = {3}
}

@Article{Heegaard1983,
  Title                    = {On the Capasity of computer memories with defects},
  Author                   = {C. Heegaard and A. El Gamal},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1983},

  Month                    = {Sept.},
  Pages                    = {731-739},
  Volume                   = {IT-29}
}

@Article{Heisenberg1927,
  Title                    = {The Physical Principles of Quantum Theory},
  Author                   = {W. Heisenberg},
  Journal                  = {Z. Phys. Lett. B},
  Year                     = {1927},
  Note                     = {(Dover, New York, 1949)},
  Pages                    = {172},
  Volume                   = {43},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Hellman1970,
  Title                    = {Probability of Error, Equivocation, and the {C}hernoff Bound},
  Author                   = {M. E. Hellman},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1970},
  Pages                    = {368-372},
  Volume                   = {16}
}

@Article{Hendrickson1971,
  Title                    = {Proper scores for probability forecasters},
  Author                   = {A. D. Hendrickson and R. J. Buehler},
  Journal                  = {Ann. Math. Statist.},
  Year                     = {1971},
  Pages                    = {1916-1921},
  Volume                   = {42}
}

@Book{Henrici1988,
  Title                    = {Applied and Computational Complex Analysis, vol. 1},
  Author                   = {P. Henrici},
  Publisher                = {Wiley},
  Year                     = {1988},

  Address                  = {New York}
}

@Article{Hentschel1983,
  Title                    = {The infinite number of generalized dimensions of fractals and strange attractor},
  Author                   = {H. G. E. Hentschel and I. Procaccia},
  Journal                  = {Physica D},
  Year                     = {1983},
  Pages                    = {435--444},
  Volume                   = {8},

  Format                   = {print},
  Keywords                 = {Fractals, Nonlinear phenomena, Strange attractors},
  Refdb_id                 = {http://solarphysics.livingreviews.org/refdb/record/8609}
}

@TechReport{Hero2003,
  Title                    = {Alpha-Divergence for Classification, Indexing and Retrieval (Revised)},
  Author                   = {A. O. Hero and B. Ma and O. Michel and J. D. Gorman},
  Institution              = {Communications and Signal Processing Laboratory, The University of Michigan},
  Year                     = {2003},
  Number                   = {CSPL-334},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@Article{Hiai1981,
  Title                    = {Sufficiency, {KMS} conditions and relative Entropy in von {N}eumann Algebras},
  Author                   = {F. Hiai and M. Ohya and M. Tsukada},
  Journal                  = {Pacific Journal of Mathematics},
  Year                     = {1981},
  Number                   = {1},
  Pages                    = {99 - 109},
  Volume                   = {96}
}

@Book{Hinckley1974,
  Title                    = {Theoretical Statistics},
  Author                   = {D. Coxand D. Hinckley},
  Publisher                = {Chapman and Hall},
  Year                     = {1974},

  Address                  = {London}
}

@Article{Hirschman1957,
  Title                    = {A Note on Entropy},
  Author                   = {I. I. {Hirschman, Jr.}},
  Journal                  = {Amer. J. Math.},
  Year                     = {1957},
  Pages                    = {152-156},
  Volume                   = {79},

  Owner                    = {ph},
  Timestamp                = {2008.02.28}
}

@Article{Hoeffding1965,
  Title                    = {Asymptotically optimal tests for multinomial distributions},
  Author                   = {W. Hoeffding},
  Journal                  = {Annals Math. Statist.},
  Year                     = {1965},
  Pages                    = {369-400},
  Volume                   = {36}
}

@Article{Hoeffding1963,
  Title                    = {Probability inequalities for sums of bounded random variables},
  Author                   = {W. Hoeffding},
  Journal                  = {J. Am. Statist. Assoc.},
  Year                     = {1963},
  Pages                    = {13-30},
  Volume                   = {58},

  Owner                    = {Peter},
  Timestamp                = {2014.01.23}
}

@Article{Hoeffding1956,
  Title                    = {On the distribution of the number of successes in independent trials},
  Author                   = {W. Hoeffding},
  Journal                  = {Ann. Math. Statist.},
  Year                     = {1956},
  Pages                    = {713-721},
  Volume                   = {27}
}

@Book{Holevo1982,
  author    = {A. S. Holevo},
  title     = {Probabilistic and Statistical Aspects of Quantum Theory},
  year      = {1982},
  volume    = {1},
  series    = {North-Holland Series in Statistics and Probability},
  publisher = {North-Holland},
  address   = {Amsterdam},
}

@Book{Holevo2002,
  Title                    = {An introduction to quantum information theory},
  Author                   = {A. S. Holevo},
  Publisher                = {MCCME (Publishing House of Moscow Independent University)},
  Year                     = {2002},

  Address                  = {Moscow}
}

@Book{Holevo2001,
  Title                    = {Statistical Structure of Quantum Theory},
  Author                   = {A. S. Holevo},
  Publisher                = {Springer},
  Year                     = {2001},

  Address                  = {Berlin}
}

@Article{Holevo2000,
  Title                    = {Reliability Function of General Classical Quantum Channel},
  Author                   = {A. S. Holevo},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2000},
  Note                     = {arXiv:quant-ph/9907087 v2},
  Number                   = {6},
  Pages                    = {22562261},
  Volume                   = {46}
}

@Article{Holst1972,
  Title                    = {Asymptotic normality and efficiency for certain goodness-of-fit tests},
  Author                   = {L. Holst},
  Journal                  = {Biometrika},
  Year                     = {1972},
  Pages                    = {138-145},
  Volume                   = {59}
}

@Book{Horwich1987,
  Title                    = {Asymmetries in Time},
  Author                   = {P. Horwich},
  Publisher                = {MIT Press},
  Year                     = {1987},

  Address                  = {Cambridge}
}

@TechReport{Howard1981,
  Title                    = {Influence Diagrams. Its Principles and Applications of Desion Analysis},
  Author                   = {R. A. Howard and J. E. Mateson},
  Institution              = {Strategic Decision Group},
  Year                     = {1981},

  Address                  = {Menlo Park, Califonia}
}

@Book{Hoyle1962,
  Title                    = {Astronomy. A history of man's investigation of the universe},
  Author                   = {F. Hoyle},
  Publisher                = {Crescent Books, Inc},
  Year                     = {1962},

  Address                  = {London},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.24}
}

@InProceedings{Huffman1952,
  Title                    = {A method for the construction of minimum redundancy codes},
  Author                   = {D. A. Huffman},
  Booktitle                = {Proc. IRE 40},
  Year                     = {1952},
  Pages                    = {1098-1101}
}

@InProceedings{Hunt1967,
  Title                    = {On the convergence of {F}ourier series Orthogonal Expansions and their continuousAnalogs},
  Author                   = {R. A. Hunt},
  Booktitle                = {Proc. Conf., Edwardsville,},
  Year                     = {1967},

  Address                  = {Carbondale, III},
  Publisher                = {Southern Illinois Univ. Press},

  Owner                    = {ph},
  Timestamp                = {2008.01.07}
}

@Book{Ibragimov1971,
  Title                    = {Independent and Stationary Sequences of Random Variables},
  Author                   = {I. A. Ibragimov and Yu. V. Linnik},
  Publisher                = {Wolters-Noordhoff},
  Year                     = {1971},

  Address                  = {Gr{\"o}ningen}
}

@Article{Ingarden1962,
  Title                    = {Quantum Informational Thermodynamics},
  Author                   = {R. S. Ingarden and K. Urbanik},
  Journal                  = {Acta Physica Polonica},
  Year                     = {1962},
  Pages                    = {281-304},
  Volume                   = {21}
}

@Article{Inglot1990,
  Title                    = {Asymptotics for multinomial goodness of fit tests for simple hypothesis.35,},
  Author                   = {T. Inglot and T. Jurlewicz and T. Ledwina},
  Journal                  = {Th. of Probab. and Appl.},
  Year                     = {1990},
  Pages                    = {797-803},
  Volume                   = {35}
}

@Article{Ireland1968,
  Title                    = {Contingency tables with given marginals},
  Author                   = {C. Ireland and S. Kullback},
  Journal                  = {Biometrica},
  Year                     = {1968},
  Pages                    = {179-188},
  Volume                   = {55}
}

@Article{Ishwar2005,
  Title                    = {On the Existence and Characterization of the Maxent Distribution under MomentInequalityConstraints},
  Author                   = {P. Ishwar and P. Moulin},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2005},
  Pages                    = {3322-3333},
  Volume                   = {51}
}

@Article{Ivchenko1978,
  Title                    = {Separable statistics and hypotheses testing. The case of small samples.},
  Author                   = {G. I. Ivchenko and Y. I. Medvedev},
  Journal                  = {Th. of Probab. and Appl.},
  Year                     = {1978},
  Pages                    = {764-775},
  Volume                   = {23}
}

@Book{Jorgensen1997,
  Title                    = {The Theory of Dispersion Models},
  Author                   = {Bent J{\o}rgensen},
  Publisher                = {Chapman \& Hall},
  Year                     = {1997},

  Owner                    = {ph},
  Timestamp                = {2009.01.06}
}

@Book{Jorsboe1982,
  Title                    = {The {C}arleson-{H}unt Theorem on {F}ourier Series},
  Author                   = {O. J{\o}rsboe and Leif Mejlbro},
  Publisher                = {Springer},
  Year                     = {1982},

  Owner                    = {ph},
  Timestamp                = {2008.01.07}
}

@TechReport{Jorsboe1983,
  Title                    = {Entropy in the Binomial Distribution},
  Author                   = {O. G. J{\o}rsboe},
  Institution              = {Danish Technical University},
  Year                     = {1983},
  Note                     = {in Danish},
  Number                   = {123},
  Type                     = {Mat-report}
}

@Book{Jacobs1999,
  Title                    = {Categorical Logic and Type Theory},
  Author                   = {B. Jacobs},
  Publisher                = {North Holland},
  Year                     = {1999},

  Address                  = {Amsterdam},
  Number                   = {141},
  Series                   = {Studies in Logic and the Foundations of Mathematics}
}

@Article{Jaffe1993,
  Title                    = {Theoretical mathematics: toward a cultural synthesis of mathematics andtheoreticalphysics},
  Author                   = {A. Jaffe and F. Quinn},
  Journal                  = {Bull. Amer. Math. Soc. (N.S.)},
  Year                     = {1993},
  Pages                    = {1-13},
  Volume                   = {29}
}

@Article{Jain1971,
  Title                    = {A Generalized Negative Binomial Distribution},
  Author                   = {G. C. Jain and P. C. Consul},
  Journal                  = {SIAM Journal on Applied Mathematics},
  Year                     = {1971},
  Number                   = {4},
  Pages                    = {501--513},
  Volume                   = {21},

  Abstract                 = {A generalized negative binomial (GNB) distribution with an additional parameter $\beta$ has been obtained by using Lagrange's expansion. The parameter is such that both mean and variance tend to increase or decrease with an increase or decrease in its value but the variance increases or decreases faster than the mean. For $\beta = \frac {1}{2}$ , the mean and variance are approximately equal and so the GNB distribution resembles the Poisson distribution. When $\beta = 0$ or 1, the GNB distribution reduces to the binomial or negative binomial distribution respectively. It has been shown that the generalized negative binomial distribution converges to a Poisson-type distribution in which the variance may be more or less than the mean, depending upon the value of a parameter. Expected frequencies have been calculated for a number of examples to show that the distribution provides a very satisfactory fit in different practical situations. Its convolution property together with other properties are quite interesting.},
  Copyright                = {Copyright � 1971 Society for Industrial and Applied Mathematics},
  ISSN                     = {00361399},
  Jstor_articletype        = {primary_article},
  Jstor_formatteddate      = {Dec., 1971},
  Publisher                = {Society for Industrial and Applied Mathematics},
  Url                      = {http://www.jstor.org/stable/2099602}
}

@InCollection{Jaynes1989,
  Title                    = {Clearing up mysteries -- The original goal},
  Author                   = {E. T. Jaynes},
  Booktitle                = {Maximum Entropy and {B}ayesian Methods},
  Publisher                = {Kluwer},
  Year                     = {1989},

  Address                  = {Dordrecht},
  Editor                   = {J. Skilling}
}

@Misc{Jaynes2014,
  Title                    = {Probability Theory As Extended Logic},

  Author                   = {E. T. Jaynes},
  HowPublished             = {Webpage maintained by L. Bretthorst, dedicated to Jaynes' work},
  Month                    = {November},
  Year                     = {2014},

  Url                      = {http://bayes.wustl.edu}
}

@Book{Jaynes2003,
  Title                    = {Probability Theory - The Logic of Science},
  Author                   = {E. T. Jaynes},
  Publisher                = {Cambridge University Press},
  Year                     = {2003},

  Address                  = {Cambridge}
}

@Article{Jaynes1957a,
  author  = {E. T. Jaynes},
  title   = {Information Theory and Statistical Mechanics, {I}},
  journal = {Physical Reviews},
  year    = {1957},
  volume  = {106},
  pages   = {620-630},
}

@InProceedings{Jeffreys1946,
  Title                    = {An invariant form for the prior probability in extimation problems},
  Author                   = {H. Jeffreys},
  Booktitle                = {Proceedings of the Royal Statistical Society},
  Year                     = {1946},

  Address                  = {London},
  Pages                    = {453-461},
  Series                   = {Series A},
  Volume                   = {186},

  Owner                    = {ph},
  Timestamp                = {2009.09.10}
}

@Article{Jensen1985,
  Title                    = {Global Universality at the Onset of Chaos: Results of a Forced {R}ayleigh-{B{\'e}}nardExperiment},
  Author                   = {M. H. Jensen and L. P. Kadanoff and A. Libchaber and I. Procaccia and J.Stavans},
  Journal                  = {Phys. Rev. Lett.},
  Year                     = {1985},
  Pages                    = {2798-2801},
  Volume                   = {55},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Book{Jessop1995,
  Title                    = {Informed Assessments, an Introduction to Information, Entropy and Statistics},
  Author                   = {A. Jessop},
  Publisher                = {Ellis Horwood},
  Year                     = {1995},

  Address                  = {New York}
}

@Article{Jiao2014,
  author    = {J. Jiao and T. Courtade and A. No and K. Venkat and T. Weissman},
  title     = {Information Measures: the Curious Case of the Binary Alphabet},
  journal   = {IEEE Trans. Inform. Theory},
  year      = {2014},
  volume    = {60},
  number    = {12},
  month     = {Dec.},
  pages     = {7616-7626},
  url       = {https://doi.org/10.1109/TIT.2014.2360184},
  owner     = {Ejer},
  timestamp = {2015.05.30},
}

@Article{Jizba2004,
  Title                    = {The world according to {R{\'e}}nyi: thermodynamics of multifractal systems},
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  Journal                  = {Ann. Phys.},
  Year                     = {2004},

  Month                    = {July},
  Number                   = {1},
  Pages                    = {17-59},
  Volume                   = {312},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@InProceedings{Jizba2008,
  Title                    = {On the role of information theoretic uncertainty relations in quantum physics},
  Author                   = {P. Jizba and P. Harremo{\"e}s},
  Booktitle                = {International Conference in Statistical Physics, Abstract and Author Index},
  Year                     = {2008},
  Editor                   = {G. Kaniadakis and A. M. Scarfone},
  Month                    = {July},
  Pages                    = {52},

  Owner                    = {ph},
  Timestamp                = {2008.08.05}
}

@Article{Joe1987,
  Title                    = {Majorization, Randomness and Dependence for Multivariate Distributions},
  Author                   = {H. Joe},
  Journal                  = {The Annals of Probability},
  Year                     = {1987},

  Month                    = {July},
  Number                   = {3},
  Pages                    = {1217-1225},
  Volume                   = {15},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.04.16},
  Url                      = {http://www.jstor.org/stable/2244051}
}

@Article{Jogdeo1968,
  Title                    = {Monotone Convergence of Binomial Probabilities and a Generalization of Ramanujan's Equation},
  Author                   = {Kumar Jogdeo and S. M. Samuels},
  Journal                  = {Ann. Math. Statist.},
  Year                     = {1968},
  Number                   = {4},
  Pages                    = {1191-1195},
  Volume                   = {39},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.02.10}
}

@Book{Johansen1988,
  Title                    = {Platons Filosofi. Udvikling Og Enhed},
  Author                   = {K. F. Johansen},
  Publisher                = {Nyt nordisk forlag Arnold Busck},
  Year                     = {1988},

  Address                  = {K{\o}benhavn}
}

@Book{Johansen1979,
  Title                    = {Introduction to the Theory of Regular Exponential Families},
  Author                   = {S. Johansen},
  Publisher                = {Inst. Math. Stat., Univ. of Copenhagen},
  Year                     = {1979},
  Series                   = {Lecture Notes},
  Volume                   = {3}
}

@TechReport{Johansen1979a,
  Title                    = {Introduction to the Theory of Regular Exponential Famelies},
  Author                   = {S. Johansen},
  Institution              = {Institute of mathematical Statistics, University of Copenhagen},
  Year                     = {1979},
  Number                   = {3},
  Type                     = {Lecture Notes}
}

@Article{Johnson2007a,
  Title                    = {Log-concavity and the maximum entropy property of the {P}oisson distribution},
  Author                   = {O. Johnson},
  Journal                  = {Stochastic Processes and their Applications},
  Year                     = {2007},
  Number                   = {6},
  Pages                    = {791-802},
  Volume                   = {117},

  Doi                      = {10.1016/j.spa.2006.10.006},
  Owner                    = {ph},
  Timestamp                = {2006.12.17}
}

@Article{Johnson2005,
  Title                    = {An information-theoretic Central Limit Theorem for finitely suspectible{FKG}systems},
  Author                   = {O. Johnson},
  Journal                  = {Teoriya Veroyatnostei i ee Primeneniya},
  Year                     = {2005},

  Month                    = {Feb.},
  Note                     = {Also in Theory of Probability and Its Applications, Vol 50/2, 2006, pages214-224},
  Number                   = {2},
  Pages                    = {331-343},
  Volume                   = {50}
}

@Article{Johnson2004,
  Title                    = {A conditional Entropy Power Inequality for dependent variables},
  Author                   = {O. Johnson},
  Journal                  = {IEEE Transactions on Information Theory},
  Year                     = {2004},
  Number                   = {8},
  Pages                    = {1581-1583},
  Volume                   = {50}
}

@Book{Johnson2004a,
  Title                    = {Information Theory and Central Limit Theorem},
  Author                   = {O. Johnson},
  Publisher                = {Imperial Collage Press},
  Year                     = {2004},

  Address                  = {London}
}

@Article{Johnson2003,
  Title                    = {Convergence of the Poincar{\'e} constant},
  Author                   = {O. Johnson},
  Journal                  = {Teoriya Veroyatnostei i ee Primeneniya},
  Year                     = {2003},

  Month                    = {June},
  Note                     = {Also in Theory of Probability and Its Applications, Vol 48/3, 2004, pages535-541},
  Number                   = {3},
  Pages                    = {615-620},
  Volume                   = {48}
}

@Article{Johnson2003a,
  Title                    = {Entropy and a generalisation of {P}oincar{\'e}'s Observation},
  Author                   = {O. Johnson},
  Journal                  = {Mathematical Proceeding of the Cambridge Philosophical Society},
  Year                     = {2003},
  Number                   = {2},
  Pages                    = {375-384},
  Volume                   = {135}
}

@Article{Johnson2004b,
  Title                    = {Fisher Information Inequalities and the Central Limit Theorem},
  Author                   = {O. Johnson and A. R. Barron},
  Journal                  = {Probability Theory and Related Fields},
  Year                     = {2004},

  Month                    = {April},
  Number                   = {3},
  Pages                    = {391-409},
  Volume                   = {129}
}

@InProceedings{Johnson2007b,
  Title                    = {Fisher information, compound {P}oisson approximation, and the {P}oisson channel},
  Author                   = {O. Johnson and M. Madiman and I. Kontoyiannis},
  Booktitle                = {Proceedings International Symposium on Information Theory 2007, Nice},
  Year                     = {2007},
  Month                    = {June},
  Pages                    = {976-980},

  Owner                    = {ph},
  Timestamp                = {2008.01.07}
}

@Article{Johnson2005a,
  Title                    = {Central Limit Theorem and convergence to stable laws in Mallows distance},
  Author                   = {O. Johnson and R. Samworth},
  Journal                  = {Bernoulli},
  Year                     = {2005},
  Number                   = {5},
  Pages                    = {829-845},
  Volume                   = {11},

  Owner                    = {ph},
  Timestamp                = {2007.10.10}
}

@Article{Johnson2007,
  Title                    = {Some results concerning maximum {R}{\'e}nyi entropy},
  Author                   = {O. Johnson and C. Vignat},
  Journal                  = {Annales de l'Institut Henri Poincar{\"i}��(B) Probability and Statistics},
  Year                     = {2007},
  Number                   = {3},
  Pages                    = {339-351},
  Volume                   = {43}
}

@Article{Johnson2000,
  Title                    = {Entropy and Convergence on Compact Groups},
  Author                   = {O. T. Johnson and Y. M. Suhov},
  Journal                  = {J. Theoret. Probab.},
  Year                     = {2000},
  Number                   = {3},
  Pages                    = {843-857},
  Volume                   = {13},

  Owner                    = {ph},
  Timestamp                = {2009.02.17}
}

@Book{Jones2000,
  Title                    = {Game theory. {M}athematical models of conflict},
  Author                   = {A. J. Jones},
  Publisher                = {Horwood Publishing},
  Year                     = {2000},

  Address                  = {Chichester}
}

@Book{Jones1980,
  Title                    = {Continued Fractions - Analytic Theory and Applications},
  Author                   = {W. B. Jones and W. J. Thron},
  Publisher                = {Addison-Wesley},
  Year                     = {1980},
  Volume                   = {11},

  Bookseries               = {Encyclopedia of Mathematics and its Applications}
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@Article{Joos1992,
  Title                    = {A Quantum Statistical upper Bound on Entropy},
  Author                   = {E. Joos and A. Qadir},
  Journal                  = {Il Nuovo Cimento},
  Year                     = {1992},
  Number                   = {5},
  Pages                    = {563--572},
  Volume                   = {107B}
}

@Book{Jordan1947,
  Title                    = {Calculus of Finite Differences},
  Author                   = {C. Jordan},
  Publisher                = {Chelsea},
  Year                     = {1947},

  Address                  = {New York}
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@InProceedings{Klopotek1998,
  Title                    = {A New Qualitative Rough-Set Approach to Modeling Belief Functions.},
  Author                   = {M. A. K{\l}opotek and S. T. Wierzcho{\'n}},
  Booktitle                = {Rough Sets And Current Trends in Com\-puting. Proc. 1st International Conference RSCTC'98, Warsaw, June 22 - 26},
  Year                     = {1998},
  Editor                   = {L. Polkowski and A. Skowron},
  Pages                    = {346-353},
  Volume                   = {1424},

  Journal                  = {Lecture Notes in Artificial Intelligence},
  Owner                    = {ph},
  Timestamp                = {2009.01.29}
}

@InCollection{Klopotek2002,
  Title                    = {Empirical Models for the {D}empster-{S}hafer Theory},
  Author                   = {M. A. K{\l}opotek and S. T. Wierzcho{\'n}},
  Booktitle                = {Belief Functions in Business Decisions. Series: Studies in Fuzziness and Soft Computing},
  Publisher                = {Springer-Verlag},
  Year                     = {2002},
  Editor                   = {R. P. Srivastava and T. J. Mock},
  Month                    = {March},
  Pages                    = {62-112},
  Volume                   = {88},

  Owner                    = {ph},
  Timestamp                = {2009.01.29}
}

@Article{Kabanov2002,
  Title                    = {On the Optimal Portfolio for the Exponential Utility Maximazation: RemarkstotheSix-Author Paper},
  Author                   = {Yuri M. Kabanov},
  Journal                  = {Mathematical Finance},
  Year                     = {2002},
  Pages                    = {125-134},
  Volume                   = {12}
}

@Article{Kafka1991,
  Title                    = {On powers of $f$-divergences defining a distance},
  Author                   = {P. Kafka and F. {\"O}sterreicher and I. Vincze},
  Journal                  = {Studia Sci. Math. Hungar.},
  Year                     = {1991},
  Pages                    = {415-422},
  Volume                   = {26}
}

@Article{Kagan2001,
  Title                    = {A discrete version of the {S}tam inequality and a characterization of the{P}oissondistribution},
  Author                   = {A. Kagan},
  Journal                  = {J. Statist. Planning and Inference},
  Year                     = {2001},
  Pages                    = {7-12},
  Volume                   = {92}
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@Article{Kailath1967,
  Title                    = {The divergence and {B}hattacharrya distance in signal selection.},
  Author                   = {T. Kailath},
  Journal                  = {IEEE Trans. Comm.},
  Year                     = {1967},
  Pages                    = {52-60},
  Volume                   = {15},

  Owner                    = {ph},
  Timestamp                = {2010.01.26}
}

@Article{Kakutani1948,
  Title                    = {On Equivalence of Infinite Product Measures},
  Author                   = {Shizuo Kakutani},
  Journal                  = {The Annals of Mathematics},
  Year                     = {1948},
  Number                   = {1},
  Pages                    = {214-224},
  Volume                   = {49},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@Book{Kallenberg1997,
  Title                    = {Foundations of Modern Probability},
  Author                   = {Olav Kallenberg},
  Publisher                = {Springer},
  Year                     = {1997}
}

@Article{Kallenberg1985,
  Title                    = {On moderate and large deviations in multinomial distributions.},
  Author                   = {W. C. M. Kallenberg},
  Journal                  = {Ann. Statist.},
  Year                     = {1985},
  Pages                    = {1554--1580},
  Volume                   = {13}
}

@Article{Kallenberg1985a,
  Title                    = {The number of classes in chi-squared goodness-of-fit tests.},
  Author                   = {W. C. M. Kallenberg and J. Oosterhof and B. F. Shriever},
  Journal                  = {J. Amer. Statist. Assoc.},
  Year                     = {1985},
  Pages                    = {959-968},
  Volume                   = {80}
}

@InCollection{Kallianpur1960,
  Title                    = {On the Amount of Information Contained in a $\sigma$-Field},
  Author                   = {G. Kallianpur},
  Booktitle                = {Contributions to Probability and Statistics},
  Publisher                = {Stanford},
  Year                     = {1960},
  Pages                    = {265-271}
}

@Article{Kambo1966,
  Title                    = {On Exponential Bounds for Binomial Probabilities},
  Author                   = {N. S. Kambo and S. Kotz},
  Journal                  = {Ann. Inst. Statist. Math.},
  Year                     = {1966},
  Pages                    = {277-287},
  Volume                   = {18}
}

@Article{Kanamori2004,
  Title                    = {Information geometry of $u$-boost and {B}regman divergences},
  Author                   = {T. Kanamori and N. Murata and T. Takenouchi and S. Eguchi},
  Journal                  = {Neural Computation},
  Year                     = {2004},
  Pages                    = {1437-1481},
  Volume                   = {16}
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@Article{Kaniadakis2002,
  Title                    = {Statistical mechanics in the context of special relativity},
  Author                   = {G. Kaniadakis},
  Journal                  = {Physical Review E},
  Year                     = {2002},
  Pages                    = {056125,1-17},
  Volume                   = {66}
}

@Article{Kaniadakis2001,
  Title                    = {Non-linear kinetics underlying generalized statistics},
  Author                   = {G. Kaniadakis},
  Journal                  = {Physica A},
  Year                     = {2001},
  Pages                    = {405-425},
  Volume                   = {296}
}

@InProceedings{Kaniadakis2004,
  Title                    = {Entropy measures of physics via complexity},
  Author                   = {G. Kaniadakis and F. Tops{\o}e},
  Booktitle                = {Proceedings 2004 International Symposium on Information Theory},
  Year                     = {2004},
  Pages                    = {40}
}

@Article{Kantorovich1958,
  Title                    = {On the space of completely additive functions},
  Author                   = {L.V. Kantorovich and G.Sh.Rubinstein},
  Journal                  = {Vestnic Leningrad Univ., Ser. Mat. Mekh. i Astron.},
  Year                     = {1958},
  Note                     = {In Russian},
  Number                   = {7},
  Pages                    = {52-59},
  Volume                   = {13},

  Owner                    = {ph},
  Timestamp                = {2007.01.18}
}

@Book{Kapur1993,
  Title                    = {Maximum Entropy Models in Science and Engineering},
  Author                   = {J. N. Kapur},
  Publisher                = {Wiley},
  Year                     = {1993},

  Address                  = {New York},
  Edition                  = {Revised}
}

@Article{Karamata1960,
  Title                    = {Sur quelques probl{\`e}me pos{\'e}s par {R}amanujan},
  Author                   = {J. Karamata},
  Journal                  = {J. Indian Math. Soc. (N.S.)},
  Year                     = {1960},
  Pages                    = {343-365},
  Volume                   = {24}
}

@Article{Karush1961,
  Title                    = {A simple proof of an inequality of {M}c{M}illan},
  Author                   = {J. Karush},
  Journal                  = {IRE Trans. Inform. Theory},
  Year                     = {1961},
  Pages                    = {118},
  Volume                   = {IT-7}
}

@Article{Kashyap1971,
  Title                    = {Prior Probability and Uncertainty},
  Author                   = {P. L. Kashyap},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1971},

  Month                    = {Nov.},
  Number                   = {6},
  Pages                    = {641-650},
  Volume                   = {IT-17}
}

@Article{Katona1976,
  Title                    = {Huffman codes and self information},
  Author                   = {G. O. H. Katona and T. O. H. Nemetz},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1976},
  Pages                    = {337-340},
  Volume                   = {22}
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@Article{Kazakos1983,
  Title                    = {Robust Noiceless Source Coding Through a Game Theoretic Approach},
  Author                   = {D. Kazakos},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1983},
  Pages                    = {577-583},
  Volume                   = {29}
}

@InProceedings{Kazama2003,
  Title                    = {Evaluation and Extension of Maximum Entropy Models with Inequality Constraints},
  Author                   = {J. Kazama and J. Tsujii},
  Booktitle                = {Proceedings of the 2003 Conference on Empirical Methods in NLP},
  Year                     = {2003}
}

@Unpublished{Keane2000,
  Title                    = {The Essence of the Law of Large Numbers},
  Author                   = {M. Keane},
  Note                     = {To appear},

  Month                    = {October},
  Year                     = {2000}
}

@Unpublished{Keane2005,
  Title                    = {Nearly simultaneous proofs of the Ergodic Theorem and the Maximal ErgodicTheorem},
  Author                   = {M. Keane and K. Petersen},
  Note                     = {Unpublished},

  Month                    = {March},
  Year                     = {2005},

  Pages                    = {4 pages}
}

@Article{Kelly1956,
  Title                    = {A New Interpretation of Information Rate},
  Author                   = {J. L. Kelly},
  Journal                  = {Bell System Technical Journal},
  Year                     = {1956},
  Pages                    = {917-926},
  Volume                   = {35}
}

@InCollection{Kelly2007,
  Title                    = {Learning, Simplicity, Truth, and Misinformation},
  Author                   = {Kevin T. Kelly},
  Booktitle                = {Handbook on the Philosophy of Information},
  Publisher                = {Elsevier},
  Year                     = {2007},
  Chapter                  = {4a},
  Editor                   = {Johan {van Benthem} and Pieter Adriaans},
  Month                    = {April},
  Note                     = {To appear},
  Pages                    = {xxx-xxx},
  Series                   = {Handbook of the Philosophy of Science},
  Volume                   = {8},

  Owner                    = {ph},
  Timestamp                = {2007.02.03}
}

@Article{Kemp1997,
  Title                    = {Characterizaation of a discrete normal distribution},
  Author                   = {A. W. Kemp},
  Journal                  = {Journal of Statistical Planning and Inference},
  Year                     = {1997},
  Pages                    = {223-229},
  Volume                   = {63}
}

@Article{Kemperman1969,
  Title                    = {On the Optimal rate of transmitting information},
  Author                   = {J. H. B. Kemperman},
  Journal                  = {Ann. Math. Statist},
  Year                     = {1969},

  Month                    = {Dec.},
  Pages                    = {2156 - 2177},
  Volume                   = {40}
}

@InBook{Kemperman1967,
  Title                    = {On the Optimum Rate of Transmitting Information},
  Author                   = {J. H. B. Kemperman},
  Pages                    = {126-169},
  Publisher                = {Springer-Verlag},
  Year                     = {1967},
  Series                   = {Lecture Notes in Mathematics},

  Booktitle                = {Probability and Information Theory}
}

@Article{Kendall1963,
  Title                    = {Information Theory and the Limit Theorem for {M}arkov Chains and Processeswith a Countable Infinity of States},
  Author                   = {D. G. Kendall},
  Journal                  = {Ann. Inst. Stat. Math.},
  Year                     = {1963},
  Pages                    = {137-143},
  Volume                   = {15}
}

@Article{Kennard1927,
  Title                    = {Zur {Q}uantenmechanik einfacher {B}ewegungstypen},
  Author                   = {E. H. Kennard},
  Journal                  = {Z. Phys.},
  Year                     = {1927},
  Pages                    = {326},
  Volume                   = {44},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Book{Kenny1979,
  Title                    = {Correlation and Causality},
  Author                   = {D. A. Kenny},
  Publisher                = {Wiley},
  Year                     = {1979},

  Address                  = {New York}
}

@Article{Kerridge1961,
  Title                    = {Inaccuracy and inference},
  Author                   = {D. F. Kerridge},
  Journal                  = {J. Roy. Stat. Soc. B.},
  Year                     = {1961},
  Pages                    = {184-194},
  Volume                   = {23}
}

@Article{Kester1986,
  Title                    = {Large Deviations of Estimators},
  Author                   = {A. D. M. Kester and W. C. M. Kallenberg},
  Journal                  = {The Annals of Statistics},
  Year                     = {1986},
  Number                   = {2},
  Pages                    = {648--664},
  Volume                   = {14},

  Abstract                 = {The performance of a sequence of estimators {Tn} of g(θ) can be measured by its inaccuracy rate $-\lim \inf_{n\rightarrow\infty} n^{-1} \log \mathbb{P}_\theta(\|T_n - g(\theta)\| > \varepsilon)$ . For fixed $\varepsilon > 0$ optimality of consistent estimators $\operatorname{wrt}$ the inaccuracy rate is investigated. It is shown that for exponential families in standard representation with a convex parameter space the maximum likelihood estimator is optimal. If the parameter space is not convex, which occurs for instance in curved exponential families, in general no optimal estimator exists. For the location problem the inaccuracy rate of M-estimators is established. If the underlying density is sufficiently smooth an optimal M-estimator is obtained within the class of translation equivariant estimators. Tail-behaviour of location estimators is studied. A connection is made between gross error and inaccuracy rate optimality.},
  Copyright                = {Copyright © 1986 Institute of Mathematical Statistics},
  ISSN                     = {00905364},
  Jstor_articletype        = {primary_article},
  Jstor_formatteddate      = {Jun., 1986},
  Publisher                = {Institute of Mathematical Statistics},
  Url                      = {http://www.jstor.org/stable/2241241}
}

@Article{Khinchine1933,
  Title                    = {Zu {B}irkhoffs {L}{\"o}sung des {E}rgodenproblems},
  Author                   = {A. I. Khinchine},
  Journal                  = {Math. Ann},
  Year                     = {1933},
  Pages                    = {485-488},
  Volume                   = {107}
}

@Article{Khokhlov2006,
  Title                    = {The Uniform Distribution on a Sphere in $\bf{R}^{S}$. Properties of Projections.{I}},
  Author                   = {V. I. Khokhlov},
  Journal                  = {Theory of Probability and its Applications},
  Year                     = {2006},
  Number                   = {3},
  Pages                    = {386-399},
  Volume                   = {50},

  Doi                      = {10.1137/S0040585X97981846},
  Keywords                 = {variational distance; uniform distribution on a sphere},
  Publisher                = {SIAM},
  Url                      = {http://link.aip.org/link/?TPR/50/386/1}
}

@Article{Khokhlov2002,
  Title                    = {Polynomials Orthogonal with respect to the Multinomial Distribution andthe Factorial-Power Formalism},
  Author                   = {V. I. Khokhlov},
  Journal                  = {Theory Probab. Appl.},
  Year                     = {2002},
  Number                   = {3},
  Pages                    = {529-536},
  Volume                   = {46},

  Owner                    = {ph},
  Timestamp                = {2008.01.07}
}

@Book{Khovanskii1963,
  Title                    = {The application of continued fractions and their generalizations to problemsinapproximationtheory},
  Author                   = {A. N. Khovanskii},
  Publisher                = {Noordhoff},
  Year                     = {1963},
  Note                     = {translated from russian by {P}. {W}ynn}
}

@Book{Khrennikov1994,
  Title                    = {$p$-Adic Valued Distributions in Mathematical Physics},
  Author                   = {A. Khrennikov},
  Publisher                = {Springer},
  Year                     = {1994},
  Series                   = {Mathematics and its Applications},

  Owner                    = {ph},
  Timestamp                = {2009.02.11}
}

@InProceedings{Khudanpur1995,
  Title                    = {A method of ME estimation with relaxed constraints},
  Author                   = {S. Khudanpur},
  Booktitle                = {John Hopkins Univ. Language Modeling Workshop},
  Year                     = {1995},
  Pages                    = {1-17}
}

@Article{Kiiveri1984,
  Title                    = {Recursive Causal Models},
  Author                   = {H. Kiiveri and T. P. Speed and J. B. Carlin},
  Journal                  = {J. Aust. Math. Soc.},
  Year                     = {1984},
  Pages                    = {30-52},
  Volume                   = {36}
}

@Article{King2001,
  Title                    = {Minimal Entropy of States Emerging from Noisy Quantum Channels},
  Author                   = {C. King and M. B. Ruskai},
  Journal                  = {IEEE Trans. on Inform. Theory},
  Year                     = {2001},

  Month                    = {Jan.},
  Number                   = {1},
  Pages                    = {192-209},
  Volume                   = {47}
}

@Article{Kisynski1960,
  Title                    = {Convergence du typ{\`e} L},
  Author                   = {J. Kisynski},
  Journal                  = {Colloq. Math.},
  Year                     = {1960},
  Pages                    = {205 - 211},
  Volume                   = {7}
}

@Article{Klaassen2000,
  Title                    = {Squared skewness minus kurtosis bounded by 186/125 for unimodal distributions},
  Author                   = {C. A. J. Klaassen and P. J. Mokveld and B. van Es},
  Journal                  = {Stat. Probab. Letters},
  Year                     = {2000},

  Month                    = {Nov.},
  Number                   = {2},
  Pages                    = {131-135},
  Volume                   = {50}
}

@Article{Klauck2007,
  Title                    = {Interaction in Quantum Communication},
  Author                   = {H. Klauck and A. Nayak and A. Ta-Shma and D. Zuckerman},
  Journal                  = {IEEE Transactions on Information Theory},
  Year                     = {2007},
  Number                   = {6},
  Pages                    = {1970-1982},
  Volume                   = {53},

  Bibsource                = {DBLP, http://dblp.uni-trier.de},
  Ee                       = {http://dx.doi.org/10.1109/TIT.2007.896888}
}

@Book{Klein1970,
  Title                    = {Poul {E}hrenfest. The Making of a Theoretical Physicist},
  Author                   = {M. J. Klein},
  Publisher                = {North-Holland},
  Year                     = {1970},

  Address                  = {Amsterdam},
  Volume                   = {1}
}

@InProceedings{Klimesh2004,
  Title                    = {Entropy Measures and Catalysis of Bipartite Quantum State Transformations},
  Author                   = {M. Klimesh},
  Booktitle                = {Proceedings 2004 IEEE International Symposium on Information Theory},
  Year                     = {2004},
  Month                    = {June 27 - Luly 2},
  Pages                    = {357}
}

@Article{Kloss1959,
  Title                    = {Probability distributions on bicompact topological groups},
  Author                   = {B. Kloss},
  Journal                  = {Theory Probab. Appl.},
  Year                     = {1959},
  Pages                    = {237-270},
  Volume                   = {4},

  Owner                    = {ph},
  Timestamp                = {2009.02.17}
}

@Article{Kneser1952,
  Title                    = {Sur un Th{\'e}or{\`e}me fondamental de la th{\'e}orie des jeux},
  Author                   = {H. Kneser},
  Journal                  = {Comptes Rendues de l'Acad{\'e}emie des Sciences, Paris},
  Year                     = {1952},
  Pages                    = {2418-2420},
  Volume                   = {234}
}

@Article{Knusel1986,
  Title                    = {Computation of the {CHI}-Square and {P}oisson-Distribution},
  Author                   = {L. Knusel},
  Journal                  = {SIAM Journal on scientific and statistical computing},
  Year                     = {1986},
  Note                     = {(D2341)},
  Number                   = {3},
  Pages                    = {1022-1036},
  Volume                   = {7}
}

@Book{Knuth1974,
  Title                    = {Surreal Numbers: How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness},
  Author                   = {D. Knuth},
  Editor                   = {PWS Publishing Company},
  Publisher                = {Addison-Wesley Pub.},
  Year                     = {1974},

  Owner                    = {ph},
  Timestamp                = {2009.01.30}
}

@TechReport{Koekoek,
  Title                    = {The {A}skey-scheme of hypergeometric orthogonal polynomials and its $q$-analogue},
  Author                   = {R. Koekoek and R. F. Swarttouw},
  Institution              = {Delft University of Technology, Department of Tech. Math. and Inf.},
  Year                     = {1998},
  Number                   = {98-17},
  Type                     = {Report},

  HowPublished             = {available on-line at http://aw.twi.tudelft.nl/~koekoek/askey/index.html}
}

@InCollection{Koepf2003,
  Title                    = {Computer Algebra Algorithms for Orthogonal Polynomials and Special Functions, {L}euven 2002},
  Author                   = {W. Koepf},
  Booktitle                = {Orthogonal {P}olynomials and {S}pecial {F}unctions},
  Publisher                = {Springer},
  Year                     = {2003},
  Pages                    = {1-24},
  Series                   = {Lecture Notes in Mathematics},
  Volume                   = {1817}
}

@Article{Kolmogorov1940,
  Title                    = {Curves in {H}ilbert space which are invariant with respect to a one-parametergroupofmotions},
  Author                   = {A. N. Kolmogorov},
  Journal                  = {Doklady Akad. Nauk},
  Year                     = {1940},
  Note                     = {(russian)},
  Pages                    = {6-9},
  Volume                   = {26}
}

@Book{Kolmogorov1933,
  Title                    = {Grundbegriffe der Wahr\-scheinlichkeits\-rechnung},
  Author                   = {A. N. Kolmogorov},
  Publisher                = {Springer},
  Year                     = {1933},

  Address                  = {Berlin}
}

@InProceedings{Komninakis2001,
  Title                    = {Capacity of the Binomial Channel, or Minimax Redundancy for Memoryless Sources},
  Author                   = {C. Komninakis and R. D. Wesel and L. Vendenberghe},
  Booktitle                = {Proceedings ISIT2001},
  Year                     = {2001},
  Organization             = {IEEE},
  Pages                    = {127}
}

@Article{Kondratenko2002,
  Title                    = {The Relation between a rate of Convergence of Moments of Normed sums andthe{C}hebyshev-{H}ermiteMoments},
  Author                   = {A. E. Kondratenko},
  Journal                  = {Theory Probab. Appl.},
  Year                     = {2002},
  Number                   = {2},
  Pages                    = {352-355},
  Volume                   = {46}
}

@InProceedings{Kontoyiannis2003,
  Title                    = {Entropy and the Law of Small Numbers},
  Author                   = {I. Kontoyiannis and P. Harremo{\"e}s},
  Booktitle                = {Proceedings 2003 {IEEE} International Symposium on Information Theory},
  Year                     = {2003},

  Address                  = {Yokohama},
  Month                    = {June},
  Organization             = {IEEE},
  Pages                    = {24},

  Url                      = {http://www.harremoes.dk/Peter/camerar.pdf}
}

@TechReport{Kontoyiannis2001,
  Title                    = {Entropy and the Law of Small Numbers},
  Author                   = {I. Kontoyiannis and P. Harremo{\"e}s},
  Institution              = {Brown University},
  Year                     = {2001},
  Month                    = {Dec.},
  Type                     = {Tech. Rapport},

  Owner                    = {ph},
  Timestamp                = {2007.01.16},
  Url                      = {http://www.dam.brown.edu/people/yiannis/PAPERS/poisson.pdf}
}

@Article{Kontoyiannis2005,
  Title                    = {Entropy and the Law of Small Numbers},
  Author                   = {I. Kontoyiannis and P. Harremo{\"e}s and O. Johnson},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2005},

  Month                    = {Feb.},
  Number                   = {2},
  Pages                    = {466-472},
  Volume                   = {51},

  File                     = {:http\://www.cwi.nl/~ph/poisson2.pdf:PDF},
  Url                      = {http://arxiv.org/abs/math/0211020}
}

@Article{Konyagin2000,
  Title                    = {On the divergence everywhere of trigonometric Fourier series},
  Author                   = {S. V. Konyagin},
  Journal                  = {Rossiiskaya Akademiya Nauk. Matematicheskii Sbornik},
  Year                     = {2000},
  Note                     = {MR1753494},
  Number                   = {1},
  Pages                    = {103�126},
  Volume                   = {191},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.09.08}
}

@InBook{Kovalevskij1967,
  Title                    = {The problem of character recognition from the point of view of mathematical statistics},
  Author                   = {V. A. Kovalevskij},
  Editor                   = {V. A. Kovalevskij},
  Pages                    = {3-30},
  Publisher                = {Spartan},
  Year                     = {1967},

  Address                  = {New York},

  Booktitle                = {Character Readers and Pattern Recognition}
}

@Article{Krafft1969,
  Title                    = {A Note on {H}oeffding's Inequality},
  Author                   = {O. Krafft and N. Schmitz},
  Journal                  = {J. Amer. Statist. Assoc.},
  Year                     = {1969},
  Pages                    = {907-912},
  Volume                   = {64}
}

@InCollection{Kraft1955,
  Title                    = {Some conditions for consistency and uniform consistency of statistical procedures},
  Author                   = {C. Kraft},
  Booktitle                = {Univ. of California Publ. in Statistics, vol. 1},
  Publisher                = {Univ. of California},
  Year                     = {1955},

  Address                  = {Berkeley},
  Pages                    = {125-142}
}

@MastersThesis{Kraft1949,
  Title                    = {A device for quanitizing, grouping and coding amplitude modulated pulses},
  Author                   = {L. G. Kraft},
  School                   = {Mater's Thesis, Department of Electrical Engineering, MIT},
  Year                     = {1949},

  Address                  = {Cambridge, MA}
}

@Article{Kraft1969,
  Title                    = {A note on exponential bounds for binomial probabilities},
  Author                   = {O. Kraft},
  Journal                  = {Ann. Inst. Stat. Math.},
  Year                     = {1969},
  Pages                    = {219-220},
  Volume                   = {21}
}

@Article{Kraus1987,
  Title                    = {Complementary observalbles and uncertainty relations},
  Author                   = {K. Kraus},
  Journal                  = {Physical Review D},
  Year                     = {1987},
  Number                   = {10},
  Pages                    = {3070-3075},
  Volume                   = {35},

  Owner                    = {ph},
  Timestamp                = {2008.03.04}
}

@Article{Krichevskii1998,
  Title                    = {Laplace's Law of Succession and Universal Encoding},
  Author                   = {R. Krichevskii},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1998},
  Pages                    = {296-303},
  Volume                   = {44}
}

@Book{Krichevsky1970,
  Title                    = {Lactures in Information Theory},
  Author                   = {R. Krichevsky},
  Publisher                = {Novosibirsk State University},
  Year                     = {1970},
  Note                     = {in Russian}
}

@Article{Krichevsky1981,
  Title                    = {The performance of universal coding},
  Author                   = {R. Krichevsky and V. Trofimov},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1981},
  Pages                    = {199-207},
  Volume                   = {27}
}

@Article{Kruithof1937,
  Title                    = {Telefoonverkeersrekening},
  Author                   = {J. Kruithof},
  Journal                  = {De Ingenieur},
  Year                     = {1937},
  Pages                    = {E15-E25},
  Volume                   = {52}
}

@Article{Kullback1970,
  Title                    = {Correction to "A Lower Bound for Discrimination Information in Terms of Variation"},
  Author                   = {S. Kullback},
  Journal                  = {IEEE Trans. Information Theory},
  Year                     = {1970},
  Pages                    = {652},
  Volume                   = {IT-16}
}

@Article{Kullback1967,
  Title                    = {A Lower bound for Discrimination Information in Terms of Variation},
  Author                   = {S. Kullback},
  Journal                  = {IEEE Trans. on Inform. Theory},
  Year                     = {1967},

  Month                    = {Jan.},
  Pages                    = {126 - 127},
  Volume                   = {IT-13}
}

@Book{Kullback1959,
  Title                    = {Information Theory and Statistics},
  Author                   = {S. Kullback},
  Publisher                = {Wiley},
  Year                     = {1959},

  Address                  = {New York}
}

@Book{Kullback1980,
  Title                    = {Topics in Statistical Information Theory},
  Author                   = {S. Kullback and J. C. Keegel and J. H. Kullback},
  Publisher                = {Springer-Verlag},
  Year                     = {1980},

  Address                  = {Berlin}
}

@Article{Kullback1951,
  Title                    = {On Information and Sufficiency},
  Author                   = {S. Kullback and R. Leibler},
  Journal                  = {Ann. Math. Statist.},
  Year                     = {1951},
  Pages                    = {79-86},
  Volume                   = {22}
}

@Article{Kvart1991,
  Title                    = {Transitivity and Preemption of Causal Relevance},
  Author                   = {I. Kvart},
  Journal                  = {Philosophical studies},
  Year                     = {1991},
  Pages                    = {125-160},
  Volume                   = {64}
}

@Article{Levy-Leblond1976,
  Title                    = {Who is afraid of Nonhermitian Operators? A Quantum Description of Angleand Phase},
  Author                   = {J. M. L{\'e}vy-Leblond},
  Journal                  = {Ann. Phys.},
  Year                     = {1976},
  Pages                    = {319-341},
  Volume                   = {101},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Lagny1719,
  Title                    = {Sur la Quadrature du Cercle, {\&} sur la mesure de tous Arc, tout Secteur, {\&} tout Segment donn{\'e}},
  Author                   = {M. de Lagny},
  Journal                  = {Memoires l'Academie de Royal de science},
  Year                     = {1719},
  Pages                    = {135-144},

  Comment                  = {beregner pi og ikke tau},
  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.31}
}

@Article{Lambert1768,
  Title                    = {Memoire sur quelques propri{'e}t{'e} remarquables des quantit{'e}s transcendantescirculairesetlogarithmiques},
  Author                   = {J. H. Lambert},
  Journal                  = {Memoires de l'Acad. de Berlin, Ann{'e}e 1761},
  Year                     = {1768},
  Pages                    = {265-322}
}

@Article{Lamberti2008,
  Title                    = {Metric character of the quantum {J}ensen-{S}hannon divergence},
  Author                   = {P. W. Lamberti and A. P. Majtey and A. Borras and M. Casas and A. Plastino},
  Journal                  = {Physical Review A (Atomic, Molecular, and Optical Physics)},
  Year                     = {2008},
  Number                   = {5},
  Pages                    = {052311},
  Volume                   = {77},

  Doi                      = {10.1103/PhysRevA.77.052311},
  Eid                      = {052311},
  Keywords                 = {quantum computing; quantum theory},
  Numpages                 = {6},
  Publisher                = {APS},
  Url                      = {http://link.aps.org/abstract/PRA/v77/e052311}
}

@Book{Landsberg1990,
  Title                    = {Thermodynamics and Statistical Mechanics},
  Author                   = {P. T. Landsberg},
  Publisher                = {Dover},
  Year                     = {1990},

  Address                  = {New York}
}

@Book{Lange2003,
  Title                    = {Applied Probability},
  Author                   = {Kenneth Lange},
  Publisher                = {Springer},
  Year                     = {2003}
}

@Book{Laurant1889,
  Title                    = {Trait{\'e} D'Algebra},
  Author                   = {H. Laurant},
  Year                     = {1889},
  Edition                  = {4th. edition},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.18}
}

@Book{Lauritzen1998,
  Title                    = {Graphical Models},
  Author                   = {S. L. Lauritzen},
  Publisher                = {Oxford Science Publications},
  Year                     = {1998},
  Series                   = {Oxford Statistical Science Series},
  Volume                   = {17}
}

@Article{Lauritzen1989,
  Title                    = {Mixed Graphical Association Models},
  Author                   = {S. L. Lauritzen},
  Journal                  = {Scand. J. Statistics},
  Year                     = {1989},
  Pages                    = {273-306},
  Volume                   = {16}
}

@Book{Lauritzen1982,
  Title                    = {Lectures on Contingency Tables},
  Author                   = {S. L. Lauritzen},
  Publisher                = {Aalborg Univ. Press},
  Year                     = {1982},

  Address                  = {Aalborg},
  Edition                  = {Second}
}

@Book{Lauritzen1982a,
  Title                    = {Statistical Models as Extremal Families},
  Author                   = {S. L. Lauritzen},
  Publisher                = {Aalborg Univ. Press},
  Year                     = {1982},

  Address                  = {Aalborg}
}

@Book{LeCam1986,
  Title                    = {Asymptotic Methods in Statistical Theory},
  Author                   = {L. {Le Cam}},
  Publisher                = {Springer-Verlag},
  Year                     = {1986},

  Address                  = {New York}
}

@Article{LeCam1960,
  Title                    = {An Approximation Theorem for the Poisson Binomial Distribution},
  Author                   = {L. LeCam},
  Journal                  = {Pacific Journal of Mathematics},
  Year                     = {1960},
  Pages                    = {1181-1197},
  Volume                   = {10}
}

@Article{Lee1957,
  Author                   = {T. D. Lee and R. Oehme and C. N. Yang},
  Journal                  = {Phys. Rew.},
  Year                     = {1957},
  Pages                    = {340},
  Volume                   = {106}
}

@Book{Lehman2005,
  Title                    = {Testing Statistical Hypotheses},
  Author                   = {E.L. Lehman and G. Castella},
  Publisher                = {Springer},
  Year                     = {2005},

  Address                  = {New York},
  Edition                  = {3rd ed.},

  Owner                    = {ph},
  Timestamp                = {2010.01.26}
}

@Article{Leon2003,
  Title                    = {Extremal properties of sums of {B}ernoulli random variables},
  Author                   = {C. A. Leon and F. Perron},
  Journal                  = {Statistics and Probability Letters},
  Year                     = {2003},

  Month                    = {May},
  Number                   = {4},
  Pages                    = {345-354},
  Volume                   = {62},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.02.18}
}

@Article{Lesche1982,
  Title                    = {Instabilities of {R{\'e}}nyi entropies},
  Author                   = {B. Lesche},
  Journal                  = {J. Stat. Phys.},
  Year                     = {1982},

  Month                    = {Feb.},
  Number                   = {2},
  Pages                    = {419-422},
  Volume                   = {27},

  Doi                      = {10.1007/BF01008947},
  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Letac1990,
  Title                    = {Natural Real Exponential Families with Cubic Variance Functions},
  Author                   = {G. Letac and M. Mora},
  Journal                  = {Ann. Stat.},
  Year                     = {1990},
  Number                   = {1},
  Pages                    = {1-37},
  Volume                   = {18}
}

@Article{Levene1995,
  Title                    = {A Lattice View of Functional Dependencies in Incomplete Relations},
  Author                   = {M. Levene},
  Journal                  = {Acta Cybernetica},
  Year                     = {1995},
  Pages                    = {181-207},
  Volume                   = {12},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.07.01}
}

@Book{Levene1999,
  Title                    = {A Guide Tour of Relational Databases and Beyond},
  Author                   = {M. Levene and G. Loizou},
  Publisher                = {Springer},
  Year                     = {1999},

  Owner                    = {Ejer},
  Timestamp                = {2014.10.03}
}

@Book{Levy1979,
  Title                    = {Basic Set Theory},
  Author                   = {A. Levy},
  Publisher                = {Springer-Verlag},
  Year                     = {1979},
  Note                     = {Reprinted 2002},

  Owner                    = {ph},
  Timestamp                = {2009.04.22}
}

@Book{Lewis1973,
  Title                    = {Counterfactuals.},
  Author                   = {Dawid Lewis},
  Publisher                = {Blackwell Publishers.},
  Year                     = {1973},

  Owner                    = {ph},
  Timestamp                = {2007.01.31}
}

@Book{Li1977,
  Title                    = {Path Analysis - a Primar},
  Author                   = {C. C. Li},
  Publisher                = {Pacific Grove},
  Year                     = {1977},

  Address                  = {Califonia}
}

@PhdThesis{Li1999,
  Title                    = {Estimation of Mixture Models},
  Author                   = {J. Q. Li},
  School                   = {Department of Statistics, Yale University},
  Year                     = {1999},
  Month                    = {May},
  Type                     = {Ph.D. Dissertation},

  Comment                  = {Henvisning i extended abstract af Barron til ISIT 2000}
}

@InProceedings{Li1999a,
  Title                    = {Mixture Density Estimation},
  Author                   = {J. Q. Li and A. R. Barron},
  Booktitle                = {Proceedings Conference on Neural Information Processing Systems: NaturalandSynthetic},
  Year                     = {1999},

  Address                  = {Cenver, CO},
  Month                    = {Dec.},

  Comment                  = {Henvisnign i extended afstract af Barron til ISIT 2000}
}

@Article{Lieb1978,
  Title                    = {Proof of an Entropy Conjecture by Wehrl},
  Author                   = {E. H. Lieb},
  Journal                  = {Commun. Math. Phys.},
  Year                     = {1978},
  Pages                    = {35-41},
  Volume                   = {62}
}

@Article{Liese2006,
  Title                    = {On Divergence and Informations in Statistics and Information Theory},
  Author                   = {F. Liese and I. Vajda},
  Journal                  = {IEEE Tranns. Inform. Theory},
  Year                     = {2006},

  Month                    = {Oct.},
  Number                   = {10},
  Pages                    = {4394 - 4412},
  Volume                   = {52},

  Owner                    = {ph},
  Timestamp                = {2007.01.05}
}

@Book{Liese1987,
  Title                    = {Convex Statistical Distances},
  Author                   = {F. Liese and I. Vajda},
  Publisher                = {Teubner},
  Year                     = {1987},

  Address                  = {Leipzig}
}

@Article{Lim1981,
  Title                    = {The Center of a Convex Set},
  Author                   = {Teck-Cheong Lim},
  Journal                  = {Proceedings of the American Mathematical Society},
  Year                     = {1981},

  Month                    = {Feb.},
  Number                   = {2},
  Pages                    = {345-346},
  Volume                   = {81},

  Owner                    = {peth},
  Timestamp                = {2016.01.13}
}

@Article{Lin1991,
  Title                    = {Divergence Measures Based on the Shannon Entropy},
  Author                   = {J. Lin},
  Journal                  = {IEEE Trans. Infor. Theory},
  Year                     = {1991},
  Pages                    = {145-151},
  Volume                   = {37}
}

@Article{Lin1990,
  Title                    = {A new directed divergence measure and its characterization},
  Author                   = {J. Lin and S. K. M. Wong},
  Journal                  = {Int.\ J.\ General Systems},
  Year                     = {1990},
  Pages                    = {73-81},
  Volume                   = {17}
}

@Misc{Lindenberg2011,
  Title                    = {Tau before it was Cool},

  Author                   = {J. Lindenberg},
  Month                    = {July},
  Note                     = {The site contains an unpublished manuscript from 1992},
  Year                     = {2011},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.07.30},
  Url                      = {http://sites.google.com/site/taubeforeitwascool}
}

@Article{Lindhard1974,
  Title                    = {On the Theory of Measurements and its Censequences in Statistical Dynamics},
  Author                   = {J . Lindhard},
  Year                     = {1974},

  Owner                    = {ph},
  Timestamp                = {2008.11.03},
  Url                      = {http://www.sdu.dk/Bibliotek/E-hotel/MatFys.aspx?sc_lang=en}
}

@Article{Lindhard1971,
  Title                    = {Studies in Dynamical Systems},
  Author                   = {J. Lindhard and V. Nielsen},
  Journal                  = {Kondelige Danske Videnskabernes Selskab, Matematisk-Fysiske Meddelser},
  Year                     = {1971},
  Number                   = {9},
  Pages                    = {1-42},
  Volume                   = {38},

  Owner                    = {ph},
  Timestamp                = {2008.11.03},
  Url                      = {http://www.sdu.dk/media/bibpdf/Bind%2030-39%5CBind%5Cmfm-38-9.pdf}
}

@InCollection{Lindstrom1975,
  Title                    = {Determining subsets by unramified experiments},
  Author                   = {B. Lindstr{\"o}m},
  Booktitle                = {A survey of Statistical Design and Linear Models},
  Publisher                = {North-Holland},
  Year                     = {1975},

  Address                  = {Amsterdam}
}

@Article{Linn2006,
  Title                    = {Approximating Pi with the Golden Ratio},
  Author                   = {S. L. Linn and D. K. Neal},
  Journal                  = {Tathematics Teacher},
  Year                     = {2006},

  Month                    = {March},
  Number                   = {7},
  Pages                    = {472-477},
  Volume                   = {99},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.21},
  Url                      = {http://people.wku.edu/david.neal/117/Acad/GoldenPi.pdf}
}

@Article{Linnik1959,
  Title                    = {An information-theoretic proof of the central limit theorem with {L}indebergcondition},
  Author                   = {Yu. V. Linnik},
  Journal                  = {Theory Probab. Appl.},
  Year                     = {1959},
  Pages                    = {288-299},
  Volume                   = {4}
}

@Article{Littlewood1969,
  Title                    = {On the probability in the tail of binomial distribution},
  Author                   = {J. E. Littlewood},
  Journal                  = {Advanced Applied Probability},
  Year                     = {1969},
  Pages                    = {43-72},
  Volume                   = {1},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.07}
}

@Article{Liu2000,
  Title                    = {Left-modular Elements},
  Author                   = {Shu-Chung Liu and B. E. Sagan},
  Journal                  = {Journal of Combinatorial Theory, Series A},
  Year                     = {2000},

  Month                    = {July},
  Number                   = {1-2},
  Pages                    = {369-385},
  Volume                   = {91},

  Owner                    = {Ejer},
  Timestamp                = {2015.03.16}
}

@Article{Lloyd1988,
  Author                   = {S. Lloyd},
  Journal                  = {Phys. Rev. A},
  Year                     = {1988},
  Pages                    = {3161},
  Volume                   = {38}
}

@Article{Loomes1982,
  Title                    = {Regret theory: An alternative theory of rational choice under uncertainty},
  Author                   = {G. Loomes and R. Sugden},
  Journal                  = {Economic Journal},
  Year                     = {1982},
  Number                   = {4},
  Pages                    = {805-824},
  Volume                   = {92}
}

@Book{Lorentzen1992,
  Title                    = {Continued Fractions with Applications},
  Author                   = {L. Lorentzen and H. Waadeland},
  Publisher                = {North-Holland},
  Year                     = {1992},
  Volume                   = {3},

  Bookseries               = {Computational Mathematics}
}

@InProceedings{Lubbe1978,
  Title                    = {On certain coding theorems for the information of order $\alpha$ and oftype$\beta$},
  Author                   = {J. C. A. van der Lubbe},
  Booktitle                = {Trans. Eighth Prague Conf. on Inform. Theory, Statist. Decision Functions,RandomProcesses},
  Year                     = {1978},

  Address                  = {Prague},
  Note                     = {Prague, 1979},
  Organization             = {Czech. Acad. Science},
  Publisher                = {Academia Publ.}
}

@Book{Luckey1953,
  Title                    = {Der {L}ehrbrief �ber den {K}reisumfang von {Jamshid b. Mas'ud al-Kashi}},
  Author                   = {P. Luckey},
  Editor                   = {Alfred Siggel},
  Publisher                = {Akademie Verlag},
  Year                     = {1953},

  Address                  = {Berlin},
  Note                     = {Translated by Paul Luckey
Arabic text and German translation of the ``Treatise on the Circumference'' of al-Kashi with commentary. Al-Kashi determines pi to 16 significant decimal digits.},
  Series                   = {Abhandlungen der Deutschen Akademie der Wissenschaften , Klasse f{\"u}r Matematik und allgemeine Naturwissenschaften},
  Volume                   = {6},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.08.17}
}

@Book{Ludwic1987,
  Title                    = {An Axiomatic Basis for Quantum Mechanics},
  Author                   = {G. Ludwic},
  Publisher                = {Springer-Verlag},
  Year                     = {1987},

  Address                  = {Berlin Heidelberg},
  Volume                   = {I-II}
}

@Article{Lyapunov1901,
  Title                    = {Nouvelle forme du th{\'e}oreme sur la limite de probabilit{\'e}},
  Author                   = {A. Lyapunov},
  Journal                  = {Memoires de l'Acad. de St-P{\'e}tersbourg},
  Year                     = {1901},
  Volume                   = {12}
}

@Book{Lyons1989,
  Title                    = {Statistics for Nuclear and Particle Physicists},
  Author                   = {L. Lyons},
  Publisher                = {Cambridge University Press},
  Year                     = {1989},

  Address                  = {Cambridge},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Mueller-Hermes2017,
  author   = {M{\"u}ller-Hermes, Alexander and Reeb, David},
  title    = {Monotonicity of the Quantum Relative Entropy Under Positive Maps},
  journal  = {Annales Henri Poincar{\'e}},
  year     = {2017},
  volume   = {18},
  number   = {5},
  pages    = {1777--1788},
  issn     = {1424-0661},
  url      = {https://doi.org/10.1007/s00023-017-0550-9},
  abstract = {We prove that the quantum relative entropy decreases monotonically under the application of any positive trace-preserving linear map, for underlying separable Hilbert spaces. This answers in the affirmative a natural question that has been open for a long time, as monotonicity had previously only been shown to hold under additional assumptions, such as complete positivity or Schwarz-positivity of the adjoint map. The first step in our proof is to show monotonicity of the sandwiched Renyi divergences under positive trace-preserving maps, extending a proof of the data processing inequality by Beigi (J Math Phys 54:122202, 2013) that is based on complex interpolation techniques. Our result calls into question several measures of non-Markovianity that have been proposed, as these would assess all positive trace-preserving time evolutions as Markovian.},
}

@Article{Maassen1988,
  Title                    = {Generalized Entropic Uncertainty Relations},
  Author                   = {H. Maassen and J. B. M. Uffink},
  Journal                  = {Phys. Rev. Lett.},
  Year                     = {1988},
  Pages                    = {1103-1106},
  Volume                   = {60},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@InProceedings{Madiman2006,
  author    = {Mokshay Madiman and Andrew Barron},
  title     = {The Monotonicity of Information in the Central Limit Theorem and EntropyPowerInequalities},
  booktitle = {2006 IEEE International Symposium on Information Theory},
  year      = {2006},
  eventdate = {July 9 - 14, 2006},
  venue     = {Seattle, USA},
  pages     = {1021-1025},
  owner     = {vmware},
  timestamp = {2006.11.14},
}

@Article{Majtey2005,
  Title                    = {Wootters' distance revisited: a new distinguishability criterium},
  Author                   = {A. P. Majtey and P. W. Lamberti and M. T. Martin and A. Plastino},
  Journal                  = {Eur. Phys. J. D},
  Year                     = {2005},
  Pages                    = {413-419},
  Volume                   = {32},

  Doi                      = {10.1140/epjd/e2005-00005-1}
}

@Article{Majtey2005a,
  Title                    = {Jensen-{S}hannon divergence as a measure of distinguishability between mixedquantum states},
  Author                   = {A. P. Majtey and P. W. Lamberti and D. P. Prato},
  Journal                  = {Physical Review A (Atomic, Molecular, and Optical Physics)},
  Year                     = {2005},
  Number                   = {5},
  Pages                    = {052310},
  Volume                   = {72},

  Doi                      = {10.1103/PhysRevA.72.052310},
  Eid                      = {052310},
  Keywords                 = {quantum theory; entropy; probability},
  Numpages                 = {6},
  Publisher                = {APS},
  Url                      = {http://link.aps.org/abstract/PRA/v72/e052310}
}

@Article{Mallows1972,
  Title                    = {A note on asymptotic joint normality},
  Author                   = {C.L. Mallows},
  Journal                  = {Ann. Math.l Stat},
  Year                     = {1972},
  Pages                    = {508-515},
  Volume                   = {43},

  Owner                    = {ph},
  Timestamp                = {2007.01.18}
}

@Book{Malotki1983,
  Title                    = {Hopi Time; A Linguistic Analysis of the Temporal Concepts in the Hopi Language},
  Author                   = {E. Malotki},
  Publisher                = {Mouton Publ.},
  Year                     = {1983},

  Address                  = {Berlin}
}

@InCollection{Mandelbrot1961,
  Title                    = {On the theory of word frequencies and on related Markovian models of discourse},
  Author                   = {B. B. Mandelbrot},
  Booktitle                = {Structures of Language and its Mathematical Aspects},
  Publisher                = {American Mathematical Society},
  Year                     = {1961},

  Address                  = {New York},
  Editor                   = {R. Jacobsen}
}

@Book{Mandelbrot1969,
  Title                    = {Series de Dirichlet},
  Author                   = {S. Mandelbrot},
  Publisher                = {Gauthier-Villars},
  Year                     = {1969},

  Address                  = {Paris}
}

@Article{Mandelstam1945,
  Title                    = {The "Time-energy" uncertainty relation in the non-relativistic quantum mechanics},
  Author                   = {L. I. Mandelstam and I. E. Tamm},
  Journal                  = {J. Phys. USSR},
  Year                     = {1945},
  Number                   = {1-2},
  Pages                    = {122-128},
  Volume                   = {9},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@InProceedings{Mansour2009,
  Title                    = {Multiple Source Adaptation and the {R\'e}nyi Divergence},
  Author                   = {Y. Mansour and M. Mohri and A. Rostamizadeh},
  Booktitle                = {Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence (UAI-09)},
  Year                     = {2009},
  Pages                    = {367--374},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@Book{Marshall1979,
  Title                    = {Inequalities: Theory of Majorization and its Applications},
  Author                   = {A. W. Marshall and I. Olkin},
  Publisher                = {Academic Press},
  Year                     = {1979},

  Address                  = {New York}
}

@Article{Martin1990,
  Title                    = {An extension of {B}orel determinacy},
  Author                   = {Donald A. Martin},
  Journal                  = {Ann. Pure Appl. Logic},
  Year                     = {1990},
  Pages                    = {279-293},
  Volume                   = {49},

  Owner                    = {ph},
  Timestamp                = {2007.01.30}
}

@Article{Martin1975,
  Title                    = {Borel determinacy},
  Author                   = {Donald A. Martin},
  Journal                  = {Annals of Math.},
  Year                     = {1975},
  Pages                    = {363-371},
  Volume                   = {102},

  Owner                    = {ph},
  Timestamp                = {2007.01.30}
}

@Article{Marton1998,
  Title                    = {Measure concentration for a class of random processes},
  Author                   = {K. Marton},
  Journal                  = {Probab. Theory Relat. Fields},
  Year                     = {1998},
  Pages                    = {427-439},
  Volume                   = {110}
}

@Article{Marton1996,
  Title                    = {Bounding $\overline d$-distances by informational divergence: a method toprovemeasureconcentration},
  Author                   = {K. Marton},
  Journal                  = {Annals of probability},
  Year                     = {1996},
  Pages                    = {857-866},
  Volume                   = {24}
}

@Article{Marton1986,
  Title                    = {A simple proof of the blowing-up lemma},
  Author                   = {K. Marton},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1986},
  Pages                    = {857-866},
  Volume                   = {24}
}

@Article{Marton1994,
  Title                    = {The Positive divergence and blowing up properties},
  Author                   = {K. Marton and P. Shields},
  Journal                  = {Israeli J. Math.},
  Year                     = {1994},
  Pages                    = {331-348},
  Volume                   = {86}
}

@Book{Martzloff1997,
  Title                    = {A History of Chinese Mathematics},
  Author                   = {J. Martzloff},
  Publisher                = {Springer},
  Year                     = {1997},

  Owner                    = {ph},
  Timestamp                = {2009.04.22}
}

@Article{Masani1972,
  Title                    = {On helixes in {H}ilbert space},
  Author                   = {P. Masani},
  Journal                  = {Theory of Prob. and Appl.},
  Year                     = {1972},
  Pages                    = {1-19},
  Volume                   = {17}
}

@InProceedings{Matus2007,
  author     = {F. Mat{\'u}s},
  title      = {Infinitely many information inequalities},
  booktitle  = {2007 IEEE International Symposium on Information Theory},
  year       = {2007},
  eventtitle = {ISIT2007},
  venue      = {Nice, France},
  month      = {June},
  pages      = {2101-2105},
  owner      = {Ejer},
  timestamp  = {2015.01.05},
}

@Article{Matus1991,
  Title                    = {Abstract functional dependency structures},
  Author                   = {F. Mat{\'u}s},
  Journal                  = {Theoretical Computer Science},
  Year                     = {1991},
  Pages                    = {117-126},
  Volume                   = {81},

  Owner                    = {peth},
  Timestamp                = {2015.12.14},
  Url                      = {http://staff.utia.cas.cz/matus/fmabs.ps}
}

@Article{Mateev1978,
  Title                    = {On the entropy of the multinomial distribution},
  Author                   = {P. Mateev},
  Journal                  = {Theory Probab. Appl.},
  Year                     = {1978},
  Pages                    = {188-190},
  Volume                   = {23}
}

@Article{Maurer2003,
  Title                    = {Secret-Key Agreement Over Unauthenticated Public Channels - Part I: DefinitionsandCompletenessResults},
  Author                   = {U. Maurer and S. Wolf},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2003},

  Month                    = {April},
  Number                   = {4},
  Pages                    = {822-831},
  Volume                   = {49}
}

@Article{Maurer2003a,
  Title                    = {Secret-Key Agreement Over Unauthenticated Public Channels - Part II: TheSimulatabilityCondition},
  Author                   = {U. Maurer and S. Wolf},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2003},

  Month                    = {April},
  Number                   = {4},
  Pages                    = {832-838},
  Volume                   = {49}
}

@Article{Maurer2003b,
  Title                    = {Secret-Key Agreement Over Unauthenticated Public Channels - Part III: PrivacyAmplification},
  Author                   = {U. Maurer and S. Wolf},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2003},

  Month                    = {April},
  Number                   = {4},
  Pages                    = {839-851},
  Volume                   = {49}
}

@Article{Mayer-Wolf1990,
  Title                    = {The {C}ram{\'e}r-{R}ao Functional and Limiting Laws},
  Author                   = {E. Mayer-Wolf},
  Journal                  = {Ann. of Probab.},
  Year                     = {1990},
  Pages                    = {840-850},
  Volume                   = {18}
}

@Book{McArthur1976,
  Title                    = {Tense Logic.},
  Author                   = {R. P. McArthur},
  Publisher                = {Reidel Pub. Com.},
  Year                     = {1976},
  Series                   = {Synthese Libery}
}

@Article{McCarthy1956,
  Title                    = {Measures of the value of information},
  Author                   = {J. {McC}arthy},
  Journal                  = {Proc. Nat. Acad. Sci.},
  Year                     = {1956},
  Pages                    = {654-655},
  Volume                   = {42}
}

@Article{McFadden1965,
  Title                    = {The Entropy of a Point Process},
  Author                   = {J. A. McFadden},
  Journal                  = {J. Soc. Indst. Appl. Math.},
  Year                     = {1965},

  Month                    = {Dec.},
  Number                   = {4},
  Pages                    = {988-994},
  Volume                   = {13}
}

@Article{McKay1989,
  Title                    = {On {Littlewood�s} estimate for the binomial distribution},
  Author                   = {B. D. {McKay}},
  Journal                  = {Advanced Applied Probability},
  Year                     = {1989},
  Pages                    = {475-478},
  Volume                   = {21},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.07}
}

@Article{McKean1966,
  Title                    = {Speed of approach to equilibrium for {K}ac's caricature of a {M}axwelliangas},
  Author                   = {H. P. {McKean Jr.}},
  Journal                  = {Arch. Rational Mech. Anal.},
  Year                     = {1966},
  Pages                    = {343 - 367},
  Volume                   = {21}
}

@Article{McMillan1956,
  Title                    = {Two inequalities implied by unique decipherability},
  Author                   = {B. McMillan},
  Journal                  = {IEEE Trans. Inform Theory},
  Year                     = {1956},
  Pages                    = {115-116},
  Volume                   = {IT-2}
}

@Book{Mehlberg1980,
  Title                    = {Time, Causality, and the Quantum Theory},
  Author                   = {H. Mehlberg},
  Publisher                = {D. Reidel Publishing Company},
  Year                     = {1980},

  Address                  = {Dordrecht, Holland},
  Volume                   = {I-II}
}

@Article{Menendez1998,
  Title                    = {Two approaches to grouping of data and related disparaty statistics},
  Author                   = {M. Men{\'e}ndez and D. Morales and L. Pardo and I. Vajda},
  Journal                  = {Communications in Statistics - Theory and Methods},
  Year                     = {1998},
  Pages                    = {609-633},
  Volume                   = {27}
}

@Article{Menendez1998a,
  Title                    = {Asymptotic distributions of f-divergences of hypothetical and observed frequencieson refined partitions.},
  Author                   = {M. Men{\'e}ndez and D. Morales and L. Pardo and I. Vajda},
  Journal                  = {Statistica Neerlandica},
  Year                     = {1998},
  Pages                    = {71-89},
  Volume                   = {52}
}

@Article{Merhav1998,
  Title                    = {Universal Prediction},
  Author                   = {N. Merhav and M. Feder},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1998},

  Month                    = {Oct.},
  Number                   = {6},
  Pages                    = {2124-2147},
  Volume                   = {44}
}

@Article{Metropolis1953,
  Title                    = {Equations of State Calculations by Fast Computing Machines},
  Author                   = {N. Metropolis and A. W. Rosenbluth and M. N. Rosenbluth and A. H. Tellerand E. Teller},
  Journal                  = {Journal of Chemical Physics},
  Year                     = {1953},
  Number                   = {6},
  Pages                    = {1087-1092},
  Volume                   = {21},

  Owner                    = {ph},
  Timestamp                = {2007.09.11}
}

@TechReport{Minka2001,
  Title                    = {Bayesian inference, entropy, and the multinomial distribution},
  Author                   = {T. P. Minka},
  Institution              = {Microsoft},
  Year                     = {2001},
  Note                     = {Available at http://www.stat.cmu.edu/~minka/papers/multinomial.html},
  Type                     = {Internet manuscript}
}

@Book{Mitrinovic1970,
  Title                    = {Analytic Inequalities},
  Author                   = {D. S. Mitrinovi{\'c}},
  Publisher                = {Springer},
  Year                     = {1970},

  Address                  = {Berlin}
}

@Article{Mittal1975,
  Title                    = {On some functional equations concerning entropy, directed divergence andinaccuracy},
  Author                   = {D. P. Mittal},
  Journal                  = {Metrika},
  Year                     = {1975},
  Pages                    = {35--45},
  Volume                   = {22}
}

@InProceedings{Mittelstaedt1987,
  Title                    = {Quantum Logical Analysis of Delayed-Choice Experiments},
  Author                   = {P. Mittelstaedt},
  Booktitle                = {Proc. 2 Symp. On Foundations of Quantum Mechanics},
  Year                     = {1987},

  Address                  = {Tokyo},
  Organization             = {Physical Society of Japan}
}

@InCollection{Monjardet1990,
  author    = {Monjardet, Bernard},
  title     = {The Consequences of {D}ilworth's Work on Lattices with Unique Irreducible Decompositions},
  booktitle = {The Dilworth Theorems},
  year      = {1990},
  editor    = {Bogart, Kenneth P. and Freese, Ralph and Kung, Joseph P.S.},
  language  = {English},
  series    = {Contemporary Mathematicians},
  publisher = {Birkh{\"a}ser},
  isbn      = {978-1-4899-3560-1},
  pages     = {192-199},
  doi       = {10.1007/978-1-4899-3558-8\_17},
  url       = {http://dx.doi.org/10.1007/978-1-4899-3558-8\_17},
  address   = {Boston},
}

@Article{Montgomery2002,
  Title                    = {Entropy and Uncertainty Relations},
  Author                   = {H. E. {Montgomery, Jr.}},
  Journal                  = {Chemical Educator},
  Year                     = {2002},
  Number                   = {6},
  Pages                    = {334-338},
  Volume                   = {7},

  Owner                    = {ph},
  Timestamp                = {2008.02.28}
}

@Article{Morimoto1963,
  Title                    = {Markov processes and the $H$-theorem},
  Author                   = {T. Morimoto},
  Journal                  = {J. Phys. Soc. Jap.},
  Year                     = {1963},
  Pages                    = {328-331},
  Volume                   = {12},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.04.17}
}

@Article{Morris1982,
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@Article{Morris1975,
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  Author                   = {C. Morris},
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  Year                     = {1975},
  Pages                    = {165-188},
  Volume                   = {3}
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@Article{Morris1988,
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  Journal                  = {Am. J. Phys.},
  Year                     = {1988},
  Pages                    = {395},
  Volume                   = {56}
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@Article{Morris1988a,
  Title                    = {Wormholes, Time Machines, and the Weak Energy Condition},
  Author                   = {M. S. Morris and K. S. Thorne and U. Yurtsever},
  Journal                  = {Phys. Rev. Lett.},
  Year                     = {1988},
  Number                   = {13},
  Pages                    = {1446-1449},
  Volume                   = {61}
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@Article{Moy1961,
  Title                    = {Generalizations of {S}hannon-{McMillan} Theorem},
  Author                   = {S. C. Moy},
  Journal                  = {Pacific J. Math.},
  Year                     = {1961},
  Pages                    = {705-714},
  Volume                   = {11},

  Comment                  = {Henvisning i extended abstract af Barron til ISIT 2000}
}

@Misc{Myerson2007,
  Title                    = {pi \& 2 pi},

  Author                   = {G. Myerson},
  HowPublished             = {Posted on the discussion forum of MathKB},
  Month                    = {Jan.},
  Note                     = {I heard him say this during a talk he gave at an American Math Society meeting. I don't know whether he ever put it in writing.},
  Year                     = {2007},

  Comment                  = {Gerry Myyerson later wrote: "I heard him say this during a talk he gave at an American Math Society meeting. I don't know whether he ever put it in writing."},
  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.02.20},
  Url                      = {http://www.mathkb.com/Uwe/Forum.aspx/math/35389/pi-2-pi}
}

@Article{Nunez2006,
  Title                    = {With the future behind them: convergent evidence from aymara language and gesture in the crosslinguistic comparison of spatial construals of time},
  Author                   = {N{\'u}{\~n}ez, Rafael E. and Sweetser, Eve},
  Journal                  = {Cognitive Science},
  Year                     = {2006},
  Number                   = {2},
  Pages                    = {401-450},
  Volume                   = {30},

  Owner                    = {Ejer},
  Timestamp                = {2014.10.01}
}

@Book{Nagel1961,
  Title                    = {The Structure of Science},
  Author                   = {E. Nagel},
  Publisher                = {Harcourt, Brace and World},
  Year                     = {1961},

  Address                  = {New York}
}

@Article{Naiman2001,
  Title                    = {Improved inclusion-Exclusion inequalities for Simplex and Orthant arrangements},
  Author                   = {D. Q. Naiman and Henry P. Wynn},
  Journal                  = {J. Ineq. Pure and Appl. Math.},
  Year                     = {2001},
  Number                   = {2},
  Pages                    = {Article 18},
  Volume                   = {2},

  Url                      = {http://www.mi.sanu.ac.yu/EMIS/journals/JIPAM/accepted_papers/031_00.html}
}

@Article{Naudts2004,
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  Journal                  = {Rev. Math. Phys.},
  Year                     = {2004},
  Pages                    = {809-822},
  Volume                   = {16}
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@Article{Naudts2004a,
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  Journal                  = {J. Ineq. Pure and Appl. Math.},
  Year                     = {2004},
  Number                   = {102},
  Pages                    = {1-15},
  Volume                   = {5},

  Url                      = {http://jipam.vu.edu.au/}
}

@Book{Needham1981,
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  Author                   = {J. Needham},
  Publisher                = {China Univ. Press},
  Year                     = {1981},

  Address                  = {Hong Kong}
}

@Article{Nemetz1974,
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  Author                   = {T. Nemetz},
  Journal                  = {Problems of Control and Information Theory},
  Year                     = {1974},
  Number                   = {2},
  Pages                    = {147--155},
  Volume                   = {3},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@Article{Neumann1928,
  Title                    = {Zur {T}heorie der {G}esellschaftsspiele},
  Author                   = {J. von Neumann},
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  Year                     = {1928},
  Pages                    = {295-320},
  Volume                   = {100}
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@Book{Neumann1947,
  Title                    = {Theory of Games and Economic Behavior},
  Author                   = {J. von Neumann and O. Morgenstern},
  Publisher                = {Princeton University Press},
  Year                     = {1947},

  Address                  = {Princeton},
  Note                     = {2nd. edition}
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@Article{Neumann1941,
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  Pages                    = {226-251},
  Volume                   = {50}
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@Book{Newton-Smith1980,
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  Publisher                = {Routledge and Kegan Paul},
  Year                     = {1980},

  Address                  = {London}
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@Article{Ney1983,
  Title                    = {Dominating Points and the Asymptotics of Large Deviations for Random Walkson${R}^{n}$},
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@Article{Nicole1747,
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  Journal                  = {Memoires de l'Acad. des sciences de Paris},
  Year                     = {1747},
  Pages                    = {644-653},
  Volume                   = {Part 3},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.21}
}

@Article{Nicole1747a,
  Title                    = {Dans lequel on d{\'e}termine en quantit{\'e}s incommensurables {\&} en parties d{\'e}cimales, les valeurs des c{\'o}tes {\&} des espaces, de la suite en progression double, des Polygones r{\'e}gulieres, inscrits {\&} circonscrits au circle},
  Author                   = {M. Nicole},
  Journal                  = {Histoire de l'Acad{\'e}mie royale des sciences avec les m{\'e}moires de math{\'e}matique et de physique tir{\'e}s des registres de cette Acad{\'e}mie.},
  Year                     = {1747},
  Note                     = {Published 1751},
  Pages                    = {437-448},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.31}
}

@Article{Niculescu2000,
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  Author                   = {C. P. Niculescu},
  Journal                  = {J. Inequal. Pure and Appl. Math.},
  Year                     = {2000},
  Note                     = {[Online] http://jipam.vu.edu.au},
  Number                   = {2},
  Pages                    = {Article 17},
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}

@Unpublished{Nielsen2003,
  Title                    = {Majorization and its application to quantum information science},
  Author                   = {M. A. Nielsen},
  Note                     = {In preparation},
  Year                     = {2003}
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@Book{Nielsen2000,
  Title                    = {Quantum Computation and Quantum Information},
  Author                   = {M. Nielsen and I. L. Chuang},
  Publisher                = {Cambridge University Press},
  Year                     = {2000},

  Address                  = {Cambridge},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Nielsen1990,
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  Journal                  = {Astronomy and Astrophysics},
  Year                     = {1990},
  Volume                   = {138}
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@Article{Nielsen1980,
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  Author                   = {R. F. Nielsen},
  Journal                  = {Scientific Americen},
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@Article{Niepert2013,
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  Journal                  = {Artificial Intelligence},
  Year                     = {2013},
  Pages                    = {29-51},
  Volume                   = {202},

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  Timestamp                = {2015.01.16}
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@Article{Novikov1989,
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  Journal                  = {Sov. Phys. JEPT},
  Year                     = {1989},
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  Pages                    = {439-443},
  Volume                   = {68}
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@InCollection{Nozick1969,
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  Author                   = {R. Nozick},
  Booktitle                = {Essays in Honor of Carl Hempel},
  Publisher                = {Reidel},
  Year                     = {1969},

  Address                  = {Dordrecht},
  Editor                   = {N. Rescher}
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@Article{Nussbaum1972,
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  Month                    = {December},
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  Volume                   = {25},

  Doi                      = {10.1007/BF02790041},
  Owner                    = {ph},
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}

@TechReport{OConnell2000,
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  Institution              = {Basic Research Institute in Mathematical Sciences},
  Year                     = {2000},

  Address                  = {HP Laboratories Bristol},
  Month                    = {July},
  Number                   = {HPL-BRIMS-200-18}
}

@Article{Ochs1976,
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  Year                     = {1976},
  Pages                    = {135-155},
  Volume                   = {9}
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@Book{Ohya1993,
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  Publisher                = {Springer},
  Year                     = {1993},

  Address                  = {Berlin Heidelberg New York}
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@PhdThesis{Olmsted1983,
  Title                    = {On Representing and Solving Decision Problems},
  Author                   = {S. M. Olmsted},
  School                   = {ESS Dept., Staford University},
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  Type                     = {Ph. D. Thesis}
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@Book{Olsen1989,
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  Publisher                = {Consensus},
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@Article{Orey1985,
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  Pages                    = {319-327},
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@Article{Otto2000,
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  Pages                    = {361-400},
  Volume                   = {173},

  Owner                    = {ph},
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}

@Article{Palais2001,
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  Author                   = {R. Palais},
  Journal                  = {Mathematical Intelligencer},
  Year                     = {2001},
  Number                   = {3},
  Pages                    = {78},
  Volume                   = {23},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.04.09},
  Url                      = {http://www.math.utah.edu/~palais/pi.pdf}
}

@Misc{Panchenko2007,
  Title                    = {Theory of Probability},

  Author                   = {D. Panchenko},
  HowPublished             = {Available for homepage of the course},
  Note                     = {Lecture notes},
  Year                     = {2007},

  Owner                    = {ph},
  Timestamp                = {2008.01.15},
  Url                      = {http://ocw.mit.edu/OcwWeb/Mathematics/18-175Spring-2007/LectureNotes/Index.htm}
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@Article{Pardo2003,
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  Volume                   = {49}
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@Article{Pardo1997,
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  Year                     = {1997},
  Pages                    = {1288-1293},
  Volume                   = {43}
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@Book{Parthasarathy1967,
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  Publisher                = {Academic Press},
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  Address                  = {New York},
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@InProceedings{Pearl1986,
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  Address                  = {Brigton, UK}
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@TechReport{Pearl1985,
  Title                    = {{GRAPHOIDS}: A Graph-Based Logic for Reasoning About Relevance Relations},
  Author                   = {Pearl and Paz},
  Institution              = {UCLA Computer Science Department},
  Year                     = {1985},
  Month                    = {October},
  Number                   = {8500038 (R-53)}
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@Book{Pearl2000,
  Title                    = {Causality},
  Author                   = {J. Pearl},
  Publisher                = {Cambridge University Press},
  Year                     = {2000}
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@Article{Pearl1990,
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  Author                   = {Pearl, J.},
  Journal                  = {The International Journal of Approximate Reasoning},
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  Pages                    = {363-389},
  Volume                   = {4(5/6)},

  Owner                    = {ph},
  Timestamp                = {2009.01.29}
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@TechReport{Pearl1990a,
  Title                    = {Probabilistic and Qualitative Abduction},
  Author                   = {J. Pearl},
  Institution              = {Computer Science Department, University of Califonia},
  Year                     = {1990},
  Number                   = {Technical report R-145}
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@Article{Pearl1988,
  Title                    = {On Probability Intervals},
  Author                   = {J. Pearl},
  Journal                  = {International Journal of Approximate Reasoning},
  Year                     = {1988},
  Number                   = {3},
  Pages                    = {211-216},
  Volume                   = {2},

  Owner                    = {ph},
  Timestamp                = {2009.01.29}
}

@Book{Pearl1988a,
  Title                    = {Probabilistic Reasoning in Intelligent Systems},
  Author                   = {J. Pearl},
  Publisher                = {Morgan Kaufmann Publ.},
  Year                     = {1988},

  Address                  = {San Mateo, Califonia}
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@InProceedings{Pearl1990b,
  Title                    = {Equivalence and Synthesis of Causal Models},
  Author                   = {J. Pearl and T. S. Verma},
  Booktitle                = {Proceedings 6th Conference on Uncertainty in {AI}, Cambridge. Mass.},
  Year                     = {1990},

  Address                  = {Mass.},
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@Article{Pearson1916,
  Title                    = {Mathematical contributions to the theory of evolution, XIX; Second supplement to a memoir on skew variation},
  Author                   = {K. Pearson},
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  Year                     = {1916},
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@InProceedings{Pedersen2002,
  Title                    = {Block Symmetry in Discrete Memoryless Channels},
  Author                   = {Jakob B{\o}je Pedersen and Flemming Tops{\o}e},
  Booktitle                = {Proceedings of 2002 IEEE Information Theory Workshop, Bangalore},
  Year                     = {2002},
  Pages                    = {131-134}
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@Article{Peetre1999,
  Title                    = {Inf \"{o}r millenium skiftet � var {J}ulius {C}aesar matematiker?},
  Author                   = {J. Peetre},
  Journal                  = {Normat},
  Year                     = {1999},
  Number                   = {4},
  Pages                    = {145-151},
  Volume                   = {47},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.04.01}
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  Journal                  = {J. Math. Phys.},
  Year                     = {2000},
  Note                     = {Probabilistic techniques in equilibrium and nonequilibrium statistical physics},
  Number                   = {3},
  Pages                    = {1371-1390},
  Volume                   = {41},

  Owner                    = {ph},
  Timestamp                = {2007.03.16}
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@InProceedings{Perez1957,
  Title                    = {Notions generalisees d'incertitude d'entropy et d'information du point devuedela theorie de martingales},
  Author                   = {A. Perez},
  Booktitle                = {Trans. First Prague Conf. Inform. Theory, Statist. Decision Functions, RandomProcesses},
  Year                     = {1957},
  Pages                    = {183-208}
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@Unpublished{Perkins2011,
  Title                    = {$\chi^2$ and classical exact tests often wildly misreport significance; the remedy lies in computers},
  Author                   = {W. Perkins and M. Tygert and R. Ward},
  Note                     = {Uploaded to ArXiv},

  Month                    = {September},
  Year                     = {2011},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.04.16},
  Url                      = {http://arxiv.orgabs/1108.4126}
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@Book{Petrov1995,
  author    = {V. V. Petrov},
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@Book{Petz2008,
  Title                    = {Quantum information theory and quantum statistics},
  Author                   = {D. Petz},
  Publisher                = {Springer},
  Year                     = {2008}
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@Article{Petz2007,
  Title                    = {Bregman divergence as relative operator entropy},
  Author                   = {D. Petz},
  Journal                  = {Acta Math. Hungar.},
  Year                     = {2007},
  Pages                    = {127-131},
  Volume                   = {116}
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@InProceedings{Pfaffelhuber1977,
  Title                    = {Minimax Information Gain and Minimum Discrimination Principle},
  Author                   = {E. Pfaffelhuber},
  Booktitle                = {Topics in Information Theory},
  Year                     = {1977},
  Editor                   = {I. Csisz{\'a}r and P. Elias},
  Pages                    = {493--519},
  Publisher                = {J{\'a}nos Bolyai Mathematical Society and North-Holland},
  Series                   = {Colloquia Mathematica Societatis J{\'a}nos Bolyai},
  Volume                   = {16}
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@Article{Pfister2004,
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@Book{Phelps2001,
  Title                    = {Lectures on {C}hoquet's Theorem},
  Author                   = {R. R. Phelps},
  Publisher                = {Springer},
  Year                     = {2001},
  Edition                  = {Second edition},
  Number                   = {1757},
  Series                   = {Lecture Notes in Mathematics},

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  Timestamp                = {2010.04.03}
}

@Book{Pinsker1960,
  Title                    = {Information and Information Stability of Random Variables and Processes},
  Author                   = {M. S. Pinsker},
  Publisher                = {Izv. Akad. Nauk},
  Year                     = {1960},

  Address                  = {Moskva},
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@Article{Plastino1999,
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@Article{Plastino1997,
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  Pages                    = {6675-6682},
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@Book{Platon1983,
  Title                    = {Staten},
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  Publisher                = {Museum Tusculanum forlag},
  Year                     = {1983},

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@Book{Poisson1837,
  Title                    = {Recherches sur la probabilit{\'e} des jugements en mati{\`e}re criminelle et enmati{\`e}recivile,pr{\'e}c{\'e}d{\'e}es des r{\`e}gles g{\'e}n{\'e}rales du calcul des probabilit{\'e}s},
  Author                   = {S. D. Poisson},
  Publisher                = {Bachelier},
  Year                     = {1837},

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@Article{Presman1985,
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  Year                     = {1985},
  Number                   = {2},
  Pages                    = {417-422},
  Volume                   = {20}
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@Book{Prigogine1985,
  Title                    = {Den Nye Pagt Mellem Mennesket Og Naturen},
  Author                   = {I. Prigogine and I. Stenger},
  Publisher                = {Asi},
  Year                     = {1985}
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@Book{Prior1957,
  Title                    = {Time and Modality},
  Author                   = {A. N. Prior},
  Publisher                = {Oxford},
  Year                     = {1957}
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@Article{Prohorov1952,
  Title                    = {On a local limit theorem for densities},
  Author                   = {Y. Prohorov},
  Journal                  = {Doklady Akad. Nauk SSSR},
  Year                     = {1952},
  Note                     = {In Russian},
  Pages                    = {797-800},
  Volume                   = {83},

  Owner                    = {ph},
  Timestamp                = {2007.10.10}
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@Article{Prohorov1956,
  Title                    = {Convergence of Random Processes and Limit Theorems in Probability Theory},
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  Journal                  = {Theory Probab. Appl.},
  Year                     = {1956},
  Pages                    = {157-214},
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@Article{Prohorov1953,
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  Journal                  = {Uspekhi Mat. Nauk.},
  Year                     = {1953},
  Note                     = {In Russian},
  Number                   = {3(55)},
  Pages                    = {135-142},
  Volume                   = {8}
}

@Book{Prokhorov1969,
  Title                    = {Probability Theory},
  Author                   = {Yu. V. Prokhorov and Yu. A. Rozanov},
  Publisher                = {Springer-Verlag},
  Year                     = {1969},

  Address                  = {Berlin-New York},
  Edition                  = {Second},
  Note                     = {[Teoriia veroiatnostei]}
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@Article{Quackenbush2010,
  Title                    = {The variety generated by planar modular lattices},
  Author                   = {G. Gr{\"a}tzer. W. Quackenbush},
  Journal                  = {Algebra universalis},
  Year                     = {2010},
  Number                   = {2-3},
  Pages                    = {187-201},
  Volume                   = {63},

  Owner                    = {Ejer},
  Timestamp                = {2015.01.09}
}

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  Title                    = {Efficiencies of chi-square and likelihood ratio goodness-of-fit tests.},
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  Year                     = {1985},
  Pages                    = {727-742},
  Volume                   = {13}
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@Article{Quinn2010,
  Title                    = {Estimating the directed information to infer causal relationships in ensemble neural spike train recordings},
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  Year                     = {2011},

  Month                    = {Feb.},
  Number                   = {1},
  Pages                    = {17-44},
  Volume                   = {30},

  Doi                      = {10.1007/s10827-010-0247-2},
  Owner                    = {Ejer},
  Timestamp                = {2015.03.06}
}

@Book{Renyi1970,
  Title                    = {Probability Theory},
  Author                   = {A. R{\'e}nyi},
  Publisher                = {North-Holland},
  Year                     = {1970},

  Address                  = {Amsterdam},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@InProceedings{Renyi1967,
  Title                    = {On some basic problems of statistics from the point of view of information theory},
  Author                   = {Alfr{\'e}d R{\'e}nyi},
  Booktitle                = {Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability},
  Year                     = {1967},
  Pages                    = {531--543},
  Volume                   = {1: Statistics},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@Article{Renyi1965,
  Title                    = {On the foundation of information theory},
  Author                   = {A. R{\'e}nyi},
  Journal                  = {Rev. Inst. Int. Stat.},
  Year                     = {1965},
  Pages                    = {1-14},
  Volume                   = {33}
}

@Article{Renyi1964,
  Title                    = {On an Extremal Property of the {P}oisson Process},
  Author                   = {A. R{\'e}nyi},
  Journal                  = {Annals Inst. Stat. Math.},
  Year                     = {1964},
  Pages                    = {129-133},
  Volume                   = {16}
}

@Book{Renyi1962,
  Title                    = {Wahrscheinlichkeitrechnung mit Einem {A}nhang {\"u}ber {I}nformationstheorie},
  Author                   = {A. R{\'e}nyi},
  Publisher                = {VEB},
  Year                     = {1962},

  Address                  = {Berlin}
}

@InProceedings{Renyi1961,
  Title                    = {On Measures of Entropy and Information},
  Author                   = {Alfr{\'e}d R{\'e}nyi},
  Booktitle                = {Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability},
  Year                     = {1961},
  Pages                    = {547--561},
  Volume                   = {1}
}

@Article{Renyi1956,
  Title                    = {A characterization of {P}oisson processes},
  Author                   = {A. R{\'e}nyi},
  Journal                  = {Magyar Tud. Akad. Mat. Kutal{\'o} Int. K{\"o}zl.},
  Year                     = {1956},
  Pages                    = {519-527},
  Volume                   = {1},

  Owner                    = {ph},
  Timestamp                = {2006.12.17}
}

@Article{Ruschendorf1984,
  Title                    = {On the minimum information discrimination theorem},
  Author                   = {L. R{\"u}schendorf},
  Journal                  = {Statist. Decisions},
  Year                     = {1984},
  Pages                    = {263-283},
  Volume                   = {suppl. 1}
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@Article{Rached2001,
  Title                    = {{R\'e}nyi's Divergence and Entropy Rates for Finite Alphabet Markov Sources},
  Author                   = {Ziad Rached and Fady Alajaji and L. Lorne Campbell},
  Journal                  = {IEEE Transactions on Information Theory},
  Year                     = {2001},
  Number                   = {4},
  Pages                    = {1553--1561},
  Volume                   = {47},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@InCollection{Rachev1994,
  Title                    = {On the rate of convergence in {CLT} with respect to the {K}antorovich metric},
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  Booktitle                = {Probability on Banach spaces},
  Publisher                = {Birkh{\"a}user},
  Year                     = {1994},

  Address                  = {Boston},
  Pages                    = {193-207},
  Series                   = {Progr. Probab.},
  Volume                   = {35},

  Owner                    = {ph},
  Timestamp                = {2007.10.10}
}

@Article{Rachev1992,
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  Year                     = {1992},
  Pages                    = {276-289},
  Volume                   = {37},

  Owner                    = {ph},
  Timestamp                = {2007.10.10}
}

@Article{Rachev1991,
  Title                    = {Approximate independence of distributions on spheres and their stabilityproperties},
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  Year                     = {1991},
  Number                   = {3},
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@Article{Rachev1984,
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  Year                     = {1984},
  Pages                    = {625-653},
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  Owner                    = {ph},
  Timestamp                = {2007.10.10}
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  Title                    = {Truth and Probability},
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  Booktitle                = {Foundations of Mathematics and other
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  Publisher                = {Routledge \& P. Kegan},
  Year                     = {1931},
  Editor                   = {R. B. Braithwaite},
  Note                     = {reprinted in Studies in Subjective Probability, H. E. Kyburg, Jr. and H. E.
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  Year                     = {1985},

  Month                    = {September},
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@Book{Rasmussen1989,
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  Publisher                = {Blackwell Publishers},
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  Address                  = {Cambridge, Massachusetts}
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@Book{Ray1991,
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  Publisher                = {Routledge},
  Year                     = {1991},

  Address                  = {London}
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  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.11.13}
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@Book{Reiss1989,
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  Year                     = {1989},

  Address                  = {New York},

  Owner                    = {ph},
  Timestamp                = {2007.04.02}
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  Pages                    = {223-235},
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  Year                     = {1991},
  Number                   = {1,2},
  Pages                    = {31-34},
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  Publisher                = {Longman},
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  Year                     = {1926},
  Pages                    = {465-497},
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@Article{Rissanen1976,
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  Doi                      = {DOI: 10.1016/S0024-3795(00)00186-5},
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  Address                  = {Finland},
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  Address                  = {Washington},
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  Pages                    = {780-781},
  Volume                   = {27}
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  Year                     = {1977},

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@Book{Salmon1984,
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  Year                     = {1984},

  Address                  = {Princeton}
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@Book{Sambursky1959,
  Title                    = {Physics of the Stoics},
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  Publisher                = {Greenwood},
  Year                     = {1959},

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  Title                    = {Model Calibration using Entropy and Geometry},
  Author                   = {D. Samperi},
  Year                     = {2000},
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@TechReport{Samperi1998,
  Title                    = {Inverse problems, Model Selection and Entropy in Derivative Security Pricing},
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  Year                     = {1998},
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@Unpublished{Samperi2006,
  Title                    = {Model Selection Using Entropy and Geometry: Complements to the {S}ix-{A}uthor{P}aper},
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  Year                     = {2006},

  Url                      = {http://ssrn.com/abstract=870072}
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  Title                    = {On the probability of large deviations of random variables},
  Author                   = {I. N. Sanov},
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  Year                     = {1957},
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  Volume                   = {42},

  Owner                    = {ph},
  Timestamp                = {2007.02.28}
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  Title                    = {The Foundations of Statistics},
  Author                   = {L. J. Savage},
  Publisher                = {Wiley \& Sons},
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  Timestamp                = {2009.01.30}
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@Article{Schachermayer2000,
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  Year                     = {2000}
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  Pages                    = {359-388},
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  Timestamp                = {2009.04.20}
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  Volume                   = {25}
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@Book{Schmidt1994,
  Title                    = {Subgroup Lattices of Groups},
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  Owner                    = {peth},
  Timestamp                = {2015.01.24}
}

@Article{Schoenberg1938,
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  Year                     = {1938},
  Pages                    = {522-536},
  Volume                   = {44}
}

@Article{Schrodinger1930,
  Title                    = {Zum {H}eisenbergschen {U}nsch{\"a}rfeprinzip},
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  Year                     = {1930},
  Pages                    = {296-303},
  Volume                   = {19},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
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@Book{Schroeder1991,
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  Author                   = {M. Schroeder},
  Publisher                = {Freeman},
  Year                     = {1991},

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  Month                    = {April},
  Pages                    = {2738-2747},
  Volume                   = {51},

  Numer                    = {4}
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@InCollection{Schumacher2001a,
  Title                    = {Relative entropy in quantum information theory},
  Author                   = {B. Schumacher and M. D. Westmoreland},
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  Publisher                = {American Mathematical Society Contemporary Mathematics series},
  Year                     = {2001},
  Editor                   = {S. Lomonaco}
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@Article{Schumacher2001,
  Title                    = {Indeterminate-length quantum coding},
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  Year                     = {2001},

  Month                    = {Sep},
  Number                   = {4},
  Pages                    = {042304},
  Volume                   = {64},

  Doi                      = {10.1103/PhysRevA.64.042304},
  Numpages                 = {13},
  Publisher                = {American Physical Society}
}

@Article{Schumacher1997,
  Title                    = {Sending Classical Information Via Noisy Quantum Channels},
  Author                   = {B. Schumacher and M. D. Westmoreland},
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  Year                     = {1997},

  Month                    = {July},
  Number                   = {1},
  Pages                    = {131-138},
  Volume                   = {56}
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@Unpublished{Sears2008,
  Title                    = {From maxent to machine learning and back},
  Author                   = {T. D. Sears},
  Note                     = {To appear},
  Year                     = {2008},

  Booktitle                = {Proceedings of the 26th International Workshop on {B}ayesian Inference andMaximum Entropy Methods in Science and Engineering},
  Editor                   = {K. Knuth}
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@Article{Seeger2002,
  Title                    = {{PAC}-{B}ayesian Generalisation Error Bounds for {G}aussian Process Classification},
  Author                   = {Matthias Seeger},
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  Year                     = {2002},
  Pages                    = {233--269},
  Volume                   = {3},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@Book{Serfling1980,
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@Article{Serfling1978,
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  Journal                  = {SIAM Rev.},
  Year                     = {1978},
  Pages                    = {567-579},
  Volume                   = {2},

  Booktitle                = {Proc. Sixth Berkeley Symp. Math. Statist. Probab.}
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@Article{Serfling1975,
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  Author                   = {R. J. Serfling},
  Journal                  = {Ann. Probab.},
  Year                     = {1975},
  Pages                    = {726-731},
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  Year                     = {1986},
  Pages                    = {871-882},
  Volume                   = {34}
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@Book{Shafer1976,
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  Author                   = {G. Shafer},
  Publisher                = {Princeton University Press},
  Year                     = {1976},

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  Timestamp                = {2009.01.29}
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@Book{Shafer2001,
  Title                    = {Probability and finance. It's only a game!},
  Author                   = {G. Shafer and V. Vovk},
  Publisher                = {Wiley},
  Year                     = {2001},

  Address                  = {Chichester}
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@TechReport{Shalizi2002,
  author      = {Cosma Rohilla Shalizi and James P. Crutchfield},
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  institution = {Santa Fe Institute},
  year        = {2002},
  pages       = {91},
  url         = {http://www.citebase.org/abstract?id=oai:arXiv.org:nlin/0006025},
  journal     = {Advances in Complex Systems},
  volume      = {5},
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@Article{Shamai1990,
  Title                    = {A Binary Analog to the Entropy-Power Inequality},
  Author                   = {S. Shamai and A. Wyner},
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  Year                     = {1990},

  Month                    = {Nov.},
  Number                   = {6},
  Pages                    = {1428-1430},
  Volume                   = {IT-36}
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@Book{Shannon1949,
  Title                    = {The Mathematical Theory of Communication},
  Author                   = {Shannon and Weaver},
  Publisher                = {University of Illinois Press},
  Year                     = {1949},

  Address                  = {Urbana}
}

@Article{Shannon1959,
  Title                    = {Coding theorems for a discrete source with a fidelity criterion},
  Author                   = {C. E. Shannon},
  Journal                  = {IRE National Convention Record},
  Year                     = {1959},
  Pages                    = {142-163},
  Volume                   = {Part 4},

  Owner                    = {ph},
  Timestamp                = {2007.01.18}
}

@Article{Shannon1951,
  Title                    = {Prediction and entropy of printed english},
  Author                   = {C. E. Shannon},
  Journal                  = {Bell Syst. Tech. J},
  Year                     = {1951},
  Pages                    = {50-64},
  Volume                   = {30}
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@Article{Shannon1948,
  Title                    = {A mathematical theory of communication},
  Author                   = {C. E. Shannon},
  Journal                  = {Bell Syst. Tech. J.},
  Year                     = {1948},
  Pages                    = {379-423 and 623-656},
  Volume                   = {27}
}

@Article{Sharma1975,
  Title                    = {Entropy of type $(\alpha , \beta )$ and other generalized measures in informationtheory},
  Author                   = {B. D. Sharma and I. J. Taneja},
  Journal                  = {Metrika},
  Year                     = {1975},
  Pages                    = {205--215},
  Volume                   = {22}
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@Unpublished{Shayevitz2010,
  Title                    = {A Note on a Characterization of R\'enyi Measures and its Relation to Composite Hypothesis Testing},
  Author                   = {O. Shayevitz},
  Note                     = {arXiv:1012.4401v1},

  Month                    = {Dec.},
  Year                     = {2010},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.01.12},
  Url                      = {http://arxiv.org/abs/1012.4401}
}

@InCollection{Shepp1981,
  Title                    = {Entropy of the sum of independent Bernoulli random variables and of themultidimensionaldistribution},
  Author                   = {L. A. Shepp and J. Olkin},
  Booktitle                = {Contributions to probability},
  Publisher                = {Academic Press},
  Year                     = {1981},

  Address                  = {New York},
  Pages                    = {201-206}
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@TechReport{Shepp1978,
  Title                    = {Entropy of the Sum of Independent {B}ernoulli Random Variables and of theMultidimensionalDistribution},
  Author                   = {L. A. Shepp and J. Olkin},
  Institution              = {Stanford University},
  Year                     = {1978},

  Address                  = {Stanford, Califonia},
  Month                    = {July},
  Number                   = {131}
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  Author                   = {P. Shields},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1998},

  Month                    = {Oct.},
  Number                   = {6},
  Pages                    = {2079-2093},
  Volume                   = {IT-44}
}

@Book{Shields1996,
  Title                    = {The Ergodic Theory of Discrete Sample Paths},
  Author                   = {P. Shields},
  Publisher                = {American Mathematical Society},
  Year                     = {1996},
  Series                   = {Graduate Studies in Mathematics},
  Volume                   = {13}
}

@Article{Shields1987,
  Title                    = {The ergodic end entropy theorems revisited},
  Author                   = {P. C. Shields},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1987},
  Number                   = {2},
  Pages                    = {263-266},
  Volume                   = {IT-33}
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@InCollection{Shimizu1975,
  Title                    = {On Fisher's amount of information for location family},
  Author                   = {R. Shimizu},
  Booktitle                = {Statistical Destributions in Scientific Work},
  Publisher                = {Reidel},
  Year                     = {1975},
  Editor                   = {G. P. Patil et al.},
  Pages                    = {305-312},
  Volume                   = {3},

  Owner                    = {ph},
  Timestamp                = {2007.10.10}
}

@Book{Shiryaev1996,
  Title                    = {Probability},
  Author                   = {A. N. Shiryaev},
  Publisher                = {Springer},
  Year                     = {1996},

  Address                  = {New York}
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@Article{Shorgin1977,
  Title                    = {Approximation of a Generalized Binomial Distribution},
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  Year                     = {1977},
  Pages                    = {846-850},
  Volume                   = {22}
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@Article{Shtarkov1987,
  Title                    = {Universal sequence coding of single messages},
  Author                   = {Y. M. Shtarkov},
  Journal                  = {Problems of Information Transmission},
  Year                     = {1987},
  Number                   = {3},
  Pages                    = {3-17},
  Volume                   = {23},

  Owner                    = {ph},
  Timestamp                = {2009.09.10}
}

@Article{Sibson1969,
  Title                    = {Information Radius},
  Author                   = {R. Sibson},
  Journal                  = {Z. Wahrscheinlichkeitstheorie verw. Geb.},
  Year                     = {1969},
  Pages                    = {149-160},
  Volume                   = {14}
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@InProceedings{Siegel1999,
  Title                    = {Median bounds and their application},
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  Booktitle                = {Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms},
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  Address                  = {Philadelphia, PA, USA},
  Pages                    = {776--785},
  Publisher                = {Society for Industrial and Applied Mathematics},
  Series                   = {SODA '99},

  Acmid                    = {314915},
  ISBN                     = {0-89871-434-6},
  Location                 = {Baltimore, Maryland, United States},
  Numpages                 = {10},
  Url                      = {http://dl.acm.org/citation.cfm?id=314500.314915}
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@Article{Silverman1955,
  Title                    = {On Binary Channels and their Cascades},
  Author                   = {R. A. Silverman},
  Journal                  = {IRE Trans. on Inform. Theory},
  Year                     = {1955},
  Pages                    = {19-27},
  Volume                   = {1}
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@Article{Sjoelin1971,
  Title                    = {Convergence almost everywhere of certain singular integrals and multiple Fourier series},
  Author                   = {P. Sj�lin},
  Journal                  = {Arkiv f�r Matematik},
  Year                     = {1971},
  Number                   = {1-2},
  Pages                    = {65-90},
  Volume                   = {9},

  Comment                  = {MR0336222},
  Doi                      = {10.1007/BF02383638},
  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.09.08}
}

@Article{Slepian1973,
  Title                    = {Noiseless coding of correlated information sources},
  Author                   = {D. Slepian and J. K. Wolf},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1973},
  Pages                    = {471-480},
  Volume                   = {IT-19}
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@Article{Sloane2003,
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  Year                     = {2003},
  Note                     = {(The encyclopedia itself is available at http://www.research.att.com/~njas/sequences/).},
  Pages                    = {912-915},
  Volume                   = {50}
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@InProceedings{Slonim2000,
  Title                    = {Document clustering using word clusters via the information bottleneck method},
  Author                   = {Noam Slonim and Naftali Tishby},
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  Year                     = {2000},

  Address                  = {New York, NY, USA},
  Pages                    = {208--215},
  Publisher                = {ACM Press},

  Doi                      = {http://doi.acm.org/10.1145/345508.345578},
  ISBN                     = {1-58113-226-3},
  Location                 = {Athens, Greece},
  Owner                    = {ph},
  Timestamp                = {2007.01.07}
}

@InProceedings{Slonim2003,
  Title                    = {Maximum likelihood and the information bottleneck},
  Author                   = {N. Slonim and Y. Weiss},
  Booktitle                = {Advances in Neural Information Processing Systems 15, Vancouver, Canada,2002},
  Year                     = {2003},
  Editor                   = {S. Becker and S. Thrun and K. Obermayer},
  Pages                    = {351-358},

  Owner                    = {ph},
  Timestamp                = {2007.01.07},
  Url                      = {citeseer.ist.psu.edu/slonim03maximum.html}
}

@Book{Sokal1981,
  Title                    = {Biometry: the principles and practice of statistics in biological research},
  Author                   = {R. R. Sokal and R. J. Rohlf},
  Publisher                = {Freeman},
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  Address                  = {New York},
  Note                     = {ISBN 0-7167-2411-1},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.09}
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  Pages                    = {595-601},
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@Article{Song2002,
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  Month                    = {May},
  Number                   = {5},
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  Owner                    = {ph},
  Timestamp                = {2008.03.04}
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@Article{Souza2004,
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@Book{Spanier1982,
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  Owner                    = {ph},
  Timestamp                = {2009.08.27}
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  Address                  = {Finland},
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@Article{Stam1978,
  Title                    = {Distance between sampling with and without replacement},
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  Journal                  = {Statistica Neerlandica},
  Year                     = {1978},
  Number                   = {2},
  Pages                    = {81--91},
  Volume                   = {32},

  Doi                      = {10.1111/j.1467-9574.1978.tb01387.x},
  ISSN                     = {1467-9574},
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@Article{Stam1959,
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  Month                    = {June},
  Pages                    = {101-112},
  Volume                   = {2}
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  Month                    = {Jan.},
  Number                   = {1},
  Pages                    = {48-54},
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@Article{Steinberg1992,
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  Month                    = {Nov.},
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  Year                     = {1999},
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  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.06.21}
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  Address                  = {K{\o}benhavn}
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@Book{Stinson1995,
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@Book{Straffin1993,
  Title                    = {Game Theory and Strategy},
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  Publisher                = {Mathematical Ass. of America},
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  Address                  = {Washington, DC},
  Series                   = {New Mathematical Library},
  Volume                   = {36}
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  Pages                    = {295-309},
  Volume                   = {94}
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@Book{Studeny2005,
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  Publisher                = {Springer},
  Year                     = {2005},

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  Timestamp                = {2014.12.30}
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  Booktitle                = {Workshop on Uncertainty Processing in Expert Systems},
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  Address                  = {Alsovice, Czechoslovakia},
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@InProceedings{Sundaresan2006,
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  owner     = {Peter Harremoes},
  timestamp = {2010.09.11},
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@InProceedings{Sundaresan2002,
  Title                    = {A measure of discrimination and its geometric properties},
  Author                   = {Rajesh Sundaresan},
  Booktitle                = {IEEE International Symposium on Information Theory (ISIT)},
  Year                     = {2002},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@Article{Suyari2006,
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  Year                     = {2006},

  Month                    = {August},
  Number                   = {1},
  Pages                    = {63�82},
  Volume                   = {368},

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  Eprint                   = {cond-mat/0401546}
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@TechReport{Suyari2004a,
  Title                    = {q-{S}tirling's formula in {T}sallis statistics},
  Author                   = {H. Suyari},
  Year                     = {2004},
  Month                    = {jan},

  Adsnote                  = {Provided by the NASA Astrophysics Data System},
  Adsurl                   = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2004cond.mat..1541S&db_key=PRE},
  Eprint                   = {cond-mat/0401541},
  Journal                  = {ArXiv Condensed Matter e-prints}
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@InProceedings{Suyari2003,
  Title                    = {The Uniqueness Theorem for the Nonextensive Entropy},
  Author                   = {H. Suyari},
  Booktitle                = {Proceedings 2003 {IEEE} International Symposium on Information Theory},
  Year                     = {2003},
  Organization             = {IEEE},
  Pages                    = {260}
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  Year                     = {1987},
  Number                   = {10},
  Pages                    = {3066-3069},
  Volume                   = {35}
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@Article{Sylvester1857,
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  Author                   = {J. J. Sylvester},
  Journal                  = {Quarterly Journal of Pure and Applied Mathematics},
  Year                     = {1857},
  Pages                    = {79},
  Volume                   = {1}
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@Article{Synge1971,
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  Year                     = {1971},
  Pages                    = {151-156},
  Volume                   = {325},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
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@Book{Szep1985,
  Title                    = {Introduction to the Theory of Games},
  Author                   = {J. Sz{\'e}p and F. Forg{\'o}},
  Publisher                = {Akad{\'e}miai Kiad{\'o}},
  Year                     = {1985},

  Address                  = {Budapest}
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@Article{Szablowski2001,
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  Year                     = {2001},
  Pages                    = {289 - 299},
  Volume                   = {52}
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@Article{Takano1987,
  Title                    = {Convergence of Entropy in the Central Limit Theorem},
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  Year                     = {1987},
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  Volume                   = {35}
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@InProceedings{Takeuchi1997,
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  Owner                    = {Peter Harremoes},
  Timestamp                = {2011.08.28}
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  Timestamp                = {2012.02.18}
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@Book{Tarp1973,
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  Publisher                = {GMT},
  Year                     = {1973}
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@Article{Tebbe1968,
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  Journal                  = {IEEE Trans. Inform. Theory},
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@Article{Telgarsky1987,
  Title                    = {Topological Games: On the 50th Anniversary of the Banach-Mazur Game},
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  Pages                    = {227-276},
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  Owner                    = {ph},
  Timestamp                = {2007.01.30}
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  Pages                    = {257-260},
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@Article{Thagard1991,
  Title                    = {Philosophical and Computational Models of Explanation},
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  Year                     = {1991},
  Pages                    = {87-104},
  Volume                   = {64}
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@Article{Thelen1989,
  Title                    = {Fisher Information and Dichotomies in Equivalence/Contiguity},
  Author                   = {Brian J. Thelen},
  Journal                  = {The Annals of Probability},
  Year                     = {1989},
  Number                   = {4},
  Pages                    = {1664--1690},
  Volume                   = {17}
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@Article{Thorburn1915,
  Title                    = {Occam's razor},
  Author                   = {W. M. Thorburn},
  Journal                  = {Mind},
  Year                     = {1915},
  Pages                    = {287-288},
  Volume                   = {24}
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@Article{Thorin1939,
  Title                    = {An extension of a theorem due to {M. Riesz}},
  Author                   = {G. O. Thorin},
  Journal                  = {Kungl. Fysiogr. S{\"a}llsk. i Lund F{\"i}��rh.},
  Year                     = {1939},
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  Pages                    = {14},
  Volume                   = {8},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Thornburn1918,
  Title                    = {The Myth of Occam's Razor},
  Author                   = {W. M. Thornburn},
  Journal                  = {Mind},
  Year                     = {1918},
  Pages                    = {345-353},
  Volume                   = {27}
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@InProceedings{Tishby1999,
  author    = {N. Tishby and F. Pereira and W. Bialek},
  title     = {The information bottleneck method},
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  year      = {1999},
  venue     = {Allerton},
  location  = {Urbana, Illinois, USA},
  pages     = {368--377},
  url       = {citeseer.ist.psu.edu/tishby99information.html},
  owner     = {ph},
  timestamp = {2007.01.07},
}

@Article{Tomita1988,
  Title                    = {Scaling Structures of Chaotic Attractors and q-Phase Transitions at Crisesin the Henon and Annulus Maps : General and Mathematical Physics},
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  Year                     = {1988},
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  Pages                    = {953-972},
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  Owner                    = {ph},
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@InCollection{Topsoe2004,
  Title                    = {Information Theory and Complexity in Probability and Statistics},
  Author                   = {F. Tops{\o}e},
  Booktitle                = {Soft Methodology and Random Information Systems},
  Publisher                = {Springer},
  Year                     = {2004},
  Editor                   = {Lop{\'e}z-Diaz et. al.},
  Pages                    = {363-370}
}

@InProceedings{Topsoe2007,
  Title                    = {Exponential Families and {M}ax{E}nt Calculations for Entropy Measures ofStatistical Physics},
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  Booktitle                = {Complexity, Metastability, and Non-Extensivity, CTNEXT07},
  Year                     = {2007},
  Editor                   = {Abe and Mie and Hermann and Qurati and Rapisarda and Tsallis},
  Pages                    = {104-113},
  Series                   = {AIP Conference Proceedings},
  Volume                   = {965},

  Url                      = {http://arxiv.org/abs/0710.1701}
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@InCollection{Topsoe2007a,
  Title                    = {Information Theory at the Service of Science},
  Author                   = {F. Tops{\o}e},
  Booktitle                = {Entropy, Search, Complexity},
  Publisher                = {J{\'a}nos Bolyai Mathematical Society and Springer-Verlag},
  Year                     = {2007},
  Editor                   = {I. Csisz{\'a}r and G. O. H. Katona and G. Tardos},
  Pages                    = {179-207},
  Series                   = {Bolyai Society Mathematical Studies},
  Volume                   = {16},

  Organization             = {Bolyai Society},
  Url                      = {http://www.math.ku.dk/~topsoe/aspects.pdf}
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@InBook{Topsoe2007b,
  author    = {Flemming Tops{\o}e},
  title     = {Information Theory at the Service of Science},
  booktitle = {Entropy, Search, Complexity},
  year      = {2007},
  editor    = {Imre Csisz{\'a}r and Gyula O. H. Katona and G{\'a}bor Tardos and G{\a}bor Wiener},
  volume    = {16},
  series    = {Bolyai Society Mathematical Studies},
  publisher = {Springer},
  chapter   = {8},
  pages     = {179--207},
  owner     = {Peter Harremoes},
  timestamp = {2010.09.11},
}

@InProceedings{Topsoe2006,
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  Booktitle                = {Proceedings Prague Stochastics 2006},
  Year                     = {2006},
  Editor                   = {Hu{\v s}kov{\'a} and Jan{\v z}ura},
  Pages                    = {45-54},

  Url                      = {http://www.math.ku.dk/~topsoe/PragueStoch.pdf}
}

@InCollection{Topsoe1993,
  Title                    = {Game Theoretical Equilibrium, Maximum Entropy and Minimum Information Discrimination},
  Author                   = {F. Tops{\o}e},
  Booktitle                = {Maximum Entropy and Bayesian Methods},
  Publisher                = {Kluwer Academic Publishers},
  Year                     = {1993},

  Address                  = {Dordrecht, Boston, London},
  Editor                   = {A. Mohammad-Djafari and G. Demoments},
  Pages                    = {15-23}
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@Article{Topsoe,
  Title                    = {Entropy Lower Bounds Related to a Problem of Universal Coding and Prediction},
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  Journal                  = {J. Ineq. Pure Applied Math.},
  Year                     = {2006},
  Note                     = {Preprint, accepted for publication in JIPAM},
  Number                   = {2},
  Pages                    = {Article 59},
  Volume                   = {7}
}

@InProceedings{Topsoe2004a,
  Title                    = {Two Games of Information},
  Author                   = {F. Tops{\o}e},
  Booktitle                = {Proceedings ISITA 2004},
  Year                     = {2004},
  Pages                    = {xx-xx}
}

@Unpublished{Topsoe2004b,
  Title                    = {Some bounds for the logarithmic function},
  Author                   = {F. Tops{\o}e},
  Note                     = {To appear.},
  Year                     = {2004},

  Url                      = {http://rgmia.vu.edu.au/v7n2.html}
}

@Article{Topsoe2004c,
  Title                    = {Entropy and Equilibrium via Games of Complexity},
  Author                   = {F. Tops{\o}e},
  Journal                  = {Physica A},
  Year                     = {2004},
  Pages                    = {11--31},
  Volume                   = {340/1-3}
}

@TechReport{Topsoe2003,
  Title                    = {Jensen-{S}hannon Divergence and norm-based measures of Discrimination and Variation},
  Author                   = {F. Tops{\o}e},
  Institution              = {Math. Dept., Univ. Copenhagen},
  Year                     = {2003},
  Note                     = {In preparation, draft available at http://www.math.ku.dk/~topsoe/}
}

@InProceedings{Topsoe2002,
  Title                    = {On the Role of Information Theory in Probability and Statistics},
  Author                   = {F. Tops{\o}e},
  Booktitle                = {Book of Abstracts, $24^{th}$ European Meeting of Statisticians},
  Year                     = {2002},
  Note                     = {Special {I}nvited {L}ecture},
  Pages                    = {20}
}

@Article{Topsoe2002a,
  Title                    = {Maximum Entropy versus Minimum Risk and Applications to some classical discreteDistributions},
  Author                   = {F. Tops{\o}e},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2002},

  Month                    = {Aug.},
  Number                   = {8},
  Pages                    = {2368-2376},
  Volume                   = {48}
}

@InProceedings{Topsoe2002b,
  Title                    = {Entropy, some new lower bounds},
  Author                   = {Flemming Tops{\o}e},
  Booktitle                = {Proceedings of 2002 IEEE Information Theory Workshop, Bangalore},
  Year                     = {2002},
  Pages                    = {196}
}

@Article{Topsoe2001,
  Title                    = {Basic Concepts, Identities and Inequalities -- the Toolkit of InformationTheory},
  Author                   = {F. Tops{\o}e},
  Journal                  = {Entropy},
  Year                     = {2001},
  Note                     = {http://www.unibas.ch/mdpi/entropy/ [ONLINE]},
  Number                   = {3},
  Pages                    = {162-190},
  Volume                   = {3}
}

@Article{Topsoe2001a,
  Title                    = {Bounds for Entropy and Divergence of Distributions over a Two-Element Set},
  Author                   = {F. Tops{\o}e},
  Journal                  = {J. Ineq. Pure Appl. Math.},
  Year                     = {2001},
  Note                     = {[ONLINE] http://jipam.vu.edu.au/accepted\underline{ }papers/ 044\underline{}00.html}
}

@InProceedings{Topsoe2001b,
  Title                    = {Exact Prediction and Universal Coding for Trees},
  Author                   = {F. Tops{\o}e},
  Booktitle                = {Proceedings ISIT 2001},
  Year                     = {2001},

  Address                  = {Washington},
  Month                    = {June},
  Organization             = {IEEE}
}

@Article{Topsoe2000,
  Title                    = {Some inequalities for information divergence and related measures of discrimination},
  Author                   = {F. Tops{\o}e},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2000},
  Pages                    = {1602-1609},
  Volume                   = {46}
}

@InProceedings{Topsoe1998,
  Title                    = {Universal Coding via Games},
  Author                   = {F. Tops{\o}e},
  Booktitle                = {Proceedings SCOR-98 Sibirskaja konferentsija po issledobaniju operatsij},
  Year                     = {1998},
  Month                    = {june},
  Pages                    = {157}
}

@Article{Topsoe1979,
  Title                    = {Information Theoretical Optimization Techniques},
  Author                   = {F. Tops{\o}e},
  Journal                  = {Kybernetika},
  Year                     = {1979},
  Number                   = {1},
  Pages                    = {8 - 27},
  Volume                   = {15},

  Address                  = {Academia Praha}
}

@Book{Topsoe1974,
  Title                    = {Informationstheorie, eine {E}inf{\"u}hrung},
  Author                   = {F. Tops{\o}e},
  Publisher                = {Teubner},
  Year                     = {1974},

  Address                  = {Stuttgart}
}

@Book{Topsoe1973,
  Title                    = {Informationsteori},
  Author                   = {F. Tops{\o}e},
  Publisher                = {Gyldendal},
  Year                     = {1973},

  Address                  = {K{\o}benhavn}
}

@Article{Topsoe1972,
  Title                    = {A New Proof of a Result Concerning Computation of the Capacity for a DiscreteChannel},
  Author                   = {F. Tops{\o}e},
  Journal                  = {Z. Wahrscheinlichkeitstheorie verw. Geb.},
  Year                     = {1972},
  Pages                    = {166-168},
  Volume                   = {22}
}

@Article{Topsoe1967,
  Title                    = {An Information Theoretical Identity and a problem involving Capacity},
  Author                   = {F. Tops{\o}e},
  Journal                  = {Studia Scientiarum Mathematicarum Hungarica},
  Year                     = {1967},
  Pages                    = {291-292},
  Volume                   = {2}
}

@Article{Toussaint1975,
  Title                    = {Sharper Lower Bounds for Discrimination Information in Terms of Variation},
  Author                   = {G. T. Toussaint},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1975},
  Pages                    = {99-100},
  Volume                   = {IT-21}
}

@Article{Tribus1971,
  Title                    = {Energy and Information},
  Author                   = {M. Tribus and E. C. McIrvine},
  Journal                  = {Sci. Am.},
  Year                     = {1971},

  Month                    = {September},
  Note                     = {{(Note: the table of contents in this volume incorrectly lists this as volume{\bf224})}},
  Number                   = {3},
  Pages                    = {179-188},
  Volume                   = {225}
}

@Book{Tricomi1955,
  Title                    = {Vorlesungen {\"u}ber {O}rtogonalreihen},
  Author                   = {F. G. Tricomi},
  Publisher                = {Springer},
  Year                     = {1955},

  Address                  = {Berlin Heidelberg}
}

@Article{Tsallis1994,
  Title                    = {What are the numbers that experiments provide?},
  Author                   = {C. Tsallis},
  Journal                  = {Quimica Nova},
  Year                     = {1994},
  Pages                    = {468},
  Volume                   = {17}
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@Article{Tsallis1988,
  Title                    = {Possible generalization of {B}oltzmann-{G}ibbs statistics},
  Author                   = {C. Tsallis},
  Journal                  = {J. Stat. Physics},
  Year                     = {1988},
  Note                     = {{S}ee http://tsallis.cat.cbpf.br/biblio.htm for a complete and updated bibliography},
  Pages                    = {479},
  Volume                   = {52}
}

@Article{Tumanyan1954,
  Title                    = {On the asymptotic distribution of the chi-square criterion (in Russian).},
  Author                   = {S. H. Tumanyan},
  Journal                  = {Dokl. Akad. Nauk SSSR},
  Year                     = {1954},
  Note                     = {in Russian},
  Pages                    = {1011-1012},
  Volume                   = {94}
}

@PhdThesis{Uffink1990,
  Title                    = {Measures of Uncertainty and the Uncertainty Principle},
  Author                   = {J. B. M. Uffink},
  School                   = {University of Utrecht},
  Year                     = {1990},
  Month                    = {Jan.},
  Type                     = {PhD thesis},

  Owner                    = {ph},
  Timestamp                = {2008.02.27}
}

@Article{Uhlmann1998,
  author       = {A. Uhlmann},
  title        = {Entropy and optimal decompositions of States relative to a Maximal Commutative Subalgebra},
  journaltitle = {Open Systems \& Inform. Dynamics},
  year         = {1998},
  volume       = {5},
  number       = {3},
  month        = {Sept.},
  pages        = {209-228},
  journal      = {Open Systems \& Inform. Dynamics},
}

@Book{Ullman1989,
  Title                    = {Principles of Database and Knowledge-base Systems},
  Author                   = {Ullman, J. D.},
  Publisher                = {Computer Science Press},
  Year                     = {1989},

  Address                  = {Stanford},
  Volume                   = {1},

  Owner                    = {Ejer},
  Timestamp                = {2014.10.03}
}

@Article{Vajda2003,
  Title                    = {Asymptotic laws for stochastic disparity statistics},
  Author                   = {I. Vajda},
  Journal                  = {Tatra Mount. Mathem. Publ.},
  Year                     = {2003},
  Note                     = {To be published},
  Pages                    = {269--280},
  Volume                   = {26}
}

@Article{Vajda2002,
  Title                    = {On convergence of information contained in quantized observations},
  Author                   = {I. Vajda},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2002},

  Month                    = {Aug.},
  Number                   = {8},
  Pages                    = {2163-2172},
  Volume                   = {48}
}

@Book{Vajda1989,
  Title                    = {Theory of Statistical Inference and Information},
  Author                   = {I. Vajda},
  Publisher                = {Kluwer},
  Year                     = {1989},

  Address                  = {Dordrecht},

  Owner                    = {ph},
  Timestamp                = {2008.03.20}
}

@Article{Vajda1972,
  Title                    = {On the $f$-divergence and singularity of probabiltiy measures},
  Author                   = {I. Vajda},
  Journal                  = {Periodica Math. Hungar.},
  Year                     = {1972},
  Pages                    = {223-234},
  Volume                   = {2},

  Owner                    = {ph},
  Timestamp                = {2008.03.20}
}

@Article{Vajda1970,
  Title                    = {Note on Discrimination Information and Variation},
  Author                   = {I. Vajda},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1970},

  Month                    = {Nov.},
  Number                   = {6},
  Pages                    = {771-773},
  Volume                   = {16}
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@TechReport{Vajda1995,
  Title                    = {Relations Between Divergences, Total Variations and Euclidean Distances},
  Author                   = {Igor Vajda and V{\'a}clav Kus},
  Institution              = {Institute of Information Theory and Automation, Academy of Sciences of theCzech Republic},
  Year                     = {1995},
  Month                    = {Nov.},
  Number                   = {1853},
  Type                     = {Research report}
}

@Book{Varadarajan1970,
  Title                    = {Geometry of Quantum Theory, {II}, Quantum Theory of Covariant Systems},
  Author                   = {V. S. Varadarajan},
  Publisher                = {Van Nostrand},
  Year                     = {1970},

  Address                  = {New York}
}

@Book{Varadarajan1968,
  Title                    = {Geometry of Quantum Theory},
  Author                   = {V. S. Varadarajan},
  Publisher                = {Van Nostrand},
  Year                     = {1968},

  Address                  = {New York}
}

@Book{Ventsel1988,
  Title                    = {Elementer af spilteorien},
  Author                   = {E. S. Ventsel},
  Publisher                = {Akademisk Boghandel},
  Year                     = {1988}
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  Journal                  = {IEEE. Trans. Inform. Theory},
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  Month                    = {Sept.},
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  Volume                   = {36}
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  Author                   = {S. Verd{\'u} and D. Guo},
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  Month                    = {May},
  Number                   = {5},
  Pages                    = {2165-2166},
  Volume                   = {52},

  Doi                      = {10.1109/TIT.2006.872978},
  Owner                    = {ph},
  Timestamp                = {2008.02.28}
}

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  Volume                   = {58},

  Owner                    = {ph},
  Timestamp                = {2009.11.09}
}

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  Title                    = {On the Maximum Probability Principle in Statistical Physics},
  Author                   = {I. Vincze},
  Booktitle                = {Ninth European Meeting of Statisticians},
  Year                     = {1972},

  Address                  = {Budapest},
  Pages                    = {869-893}
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  Month                    = {Jan.},
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  Pages                    = {131-136},
  Volume                   = {38}
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  Year                     = {1959},
  Pages                    = {178 - 197},
  Volume                   = {4}
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@Book{Neumann1932b,
  Title                    = {Mathematical Foundation of Quantum Mechanics},
  Author                   = {J. {von Neumann}},
  Publisher                = {Princeton University Press},
  Year                     = {1955},

  Address                  = {Princeton, NJ},
  Note                     = {Reprint from original from 1932}
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@Article{Neumann1932a,
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  Author                   = {J. {von Neumann}},
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  Pages                    = {70-82},
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  Volume                   = {48}
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  Month                    = {June},
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  Volume                   = {91}
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@Book{Wald1947,
  Title                    = {Sequensial Analysis},
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  Publisher                = {Wiley},
  Year                     = {1947}
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@Book{Wallace2005,
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  Publisher                = {Springer-Verlag},
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  Address                  = {New York},

  Owner                    = {ph},
  Timestamp                = {2008.06.16}
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  Pages                    = {11-34},
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  Owner                    = {ph},
  Timestamp                = {2008.06.16}
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  Title                    = {An Information measure for classification},
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  Owner                    = {ph},
  Timestamp                = {2008.06.16}
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  Owner                    = {ph},
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@PhdThesis{Wehner2008,
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  School                   = {Centrum voor Wiskunde en Informatica},
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  Month                    = {Feb.},
  Type                     = {PdD thesis},

  Owner                    = {ph},
  Timestamp                = {2008.03.04}
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  Address                  = {Odense}
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  Address                  = {New York},
  Edition                  = {3},
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@Book{Wiley1981,
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  Month                    = {Sept.},
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  Title                    = {The Many World Interpretation of Quantum Mechanics},
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  Address                  = {Princeton}
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@Unpublished{Wu2001,
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  Month                    = {Dec.},
  Year                     = {2001}
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@Article{Wyner1973a,
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  Year                     = {1973},

  Month                    = {Nov.},
  Number                   = {6},
  Pages                    = {772-777},
  Volume                   = {IT-19}
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@Article{Wyner1973,
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  Year                     = {1973},

  Month                    = {Nov.},
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  Pages                    = {769-772},
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  Pages                    = {431-445},
  Volume                   = {46},

  Owner                    = {ph},
  Timestamp                = {2009.09.10}
}

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  Pages                    = {646-657},
  Volume                   = {43},

  Owner                    = {ph},
  Timestamp                = {2009.09.10}
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  Owner                    = {ph},
  Timestamp                = {2009.09.02}
}

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@Book{Yeung2002,
  Title                    = {A First Course in Information Theory},
  Author                   = {R. W. Yeung},
  Publisher                = {Kluwer},
  Year                     = {2002},

  Address                  = {New York}
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@Unpublished{Yeung2008,
  Title                    = {Theory of Network Coding},
  Author                   = {R. W. Yeung and S. Y. R. Li and N. Cai and Z. Zhang},
  Note                     = {Submitted for publication.},
  Year                     = {2008},

  File                     = {main.pdf:http\://iest2.ie.cuhk.edu.hk/~whyeung/post/netcode/main.pdf:PDF},
  Journal                  = {Foundations and Trends in Communications and Information Theory.}
}

@Article{Yu2009,
  Title                    = {Monotonic Convergence in an Information-Theoretic Law of Small Numbers},
  Author                   = {Y. Yu},
  Journal                  = {IEEE Tranns. Inform. Theory},
  Year                     = {2009},
  Pages                    = {5412-5422},
  Volume                   = {55},

  Doi                      = {10.1109/TIT.2009.2032727},
  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.06},
  Url                      = {http://arxiv.org/abs/0810.5203}
}

@Unpublished{Zacharovas2008,
  Title                    = {A {Charlier-Poisson} approach to {P}oisson approxiamtion and its applications},
  Author                   = {V. Zacharovas and Hsien-Kuei Hwand},
  Note                     = {ArXiv:0810.4756v1},

  Month                    = {Oct.},
  Year                     = {2008},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.03.29}
}

@Article{Zakai2005,
  Title                    = {On Mutual Information, Likelihood Ratios, and Estimation Error for AdditiveGaussianChannel},
  Author                   = {M. Zakai},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {2005},

  Month                    = {Sept.},
  Number                   = {9},
  Pages                    = {3017-3024},
  Volume                   = {51}
}

@Article{Zamir1998,
  Title                    = {A Proof of the {F}isher Information Inequality via a Data Processing Argument},
  Author                   = {R. Zamir},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1998},

  Month                    = {May},
  Number                   = {3},
  Pages                    = {1246-1250},
  Volume                   = {44}
}

@Article{Zhang2008,
  Title                    = {Limiting distribution of the {G} statistics},
  Author                   = {Tonglin Zhang},
  Journal                  = {Statistics and Probability Letters},
  Year                     = {2008},
  Pages                    = {1656-1661},
  Volume                   = {78},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2012.01.10},
  Url                      = {http://www.stat.purdue.edu/~tlzhang/statprobletters2008.pdf}
}

@Article{Zhang2006,
  Title                    = {From $\epsilon$-Entropy to {KL}-Entropy: Analysis of Minimum Information Complexity Density Estimation},
  Author                   = {Tong Zhang},
  Journal                  = {The Annals of Statistics},
  Year                     = {2006},
  Number                   = {5},
  Pages                    = {2180--2210},
  Volume                   = {34},

  Owner                    = {Peter Harremoes},
  Timestamp                = {2010.09.11}
}

@Article{Zhang2003,
  Title                    = {On a new non-{S}hannon-type information Inequality},
  Author                   = {Z. Zhang},
  Journal                  = {Communication in Information and Systems},
  Year                     = {2003},

  Month                    = {June},
  Number                   = {1},
  Pages                    = {47-60},
  Volume                   = {3},

  Owner                    = {Ejer},
  Timestamp                = {2015.01.05}
}

@Article{Zhang1997,
  Title                    = {A non-{S}hannon-type conditional inequality of information quantities},
  Author                   = {Z. Zhang and R. W. Yeung},
  Journal                  = {IEEE Trans. Inform. Theory},
  Year                     = {1997},

  Month                    = {Nov.},
  Pages                    = {1982-1985},
  Volume                   = {43},

  Owner                    = {Ejer},
  Timestamp                = {2015.01.05}
}

@Article{Zhang1988,
  Title                    = {On characterization of entropy function via information inequalities},
  Author                   = {Z. Zhang and R. W. Yeung},
  Journal                  = {IEEE Trans . Inform. Theory},
  Year                     = {1988},

  Month                    = {July},
  Number                   = {4},
  Pages                    = {1440-1452},
  Volume                   = {44},

  Owner                    = {Ejer},
  Timestamp                = {2015.01.05}
}

@InCollection{Zhao2006,
  Title                    = {Solving Probabilistic Combinatorial Games},
  Author                   = {Ling Zhao and M. M{\"u}ller},
  Booktitle                = {Advances in Computer Games},
  Publisher                = {Springer Berlin / Heidelberg},
  Year                     = {2006},
  Pages                    = {225-238},
  Series                   = {Lecture Notes in Computer Science},
  Volume                   = {4250},

  Doi                      = {10.1007/11922155_17},
  Owner                    = {ph},
  Timestamp                = {2009.05.18}
}

@InProceedings{Zi1982,
  Title                    = {Tao Te King},
  Author                   = {Lao Zi},
  Booktitle                = {Sphinx},
  Year                     = {1982},

  Address                  = {K{\o}benhavn},
  Note                     = {Tranlated by Piao Yu-suen}
}

@Article{Zografos1990,
  Title                    = {$\phi$-divergence statistics: Sampling properties and multinomial goodness-of-fitanddivergencetests},
  Author                   = {K. Zografos and K. Ferentions and T. Papaioannou},
  Journal                  = {Commun. Statist. Theory Meth.},
  Year                     = {1990},
  Pages                    = {1785-1802},
  Volume                   = {19},

  Abstract                 = {Asymptotic distributions for a class of goodness-of-fit statistics underlocalalternatives}
}

@Article{Zolotarev1983,
  Title                    = {Probability metrics},
  Author                   = {V. M. Zolotarev},
  Journal                  = {Theory Prob. Appl},
  Year                     = {1983},
  Pages                    = {278-302},
  Volume                   = {28},

  Owner                    = {ph},
  Timestamp                = {2007.04.02}
}

@Article{Zubkov2013,
  Title                    = {A Complete Proof of Universal Inequalities for the Distribution Function of the Binomial Law},
  Author                   = {A. M. Zubkov and A. A. Serov},
  Journal                  = {Theory Probab. Appl.},
  Year                     = {2013},

  Month                    = {Sept.},
  Number                   = {3},
  Pages                    = {539-544},
  Volume                   = {57},

  Doi                      = {10.1137/S0040585X97986138},
  Owner                    = {Peter},
  Timestamp                = {2014.01.23},
  Url                      = {http://dx.doi.org/10.1137/S0040585X97986138 http://arxiv.org/abs/1207.3838}
}

@Article{Zyczkowski2003,
  Title                    = {R{\'e}nyi Extrapolation of {S}hannon Entropy},
  Author                   = {K. Zyczkowski},
  Journal                  = {Open Systems and Information Dynamics},
  Year                     = {2003},
  Pages                    = {297-310},
  Volume                   = {10}
}

@Book{Drezner2002,
  Title                    = {Facility location. Applications and Theory},
  Editor                   = {Z. Drezner and H. Hamacher},
  Publisher                = {Springer},
  Year                     = {2002},

  Address                  = {Berlin}
}

@Book{Gammerman1999,
  Title                    = {Causal Models and Intelligent Data Management},
  Editor                   = {A. Gammerman},
  Publisher                = {Springer},
  Year                     = {1999},

  Owner                    = {ph},
  Timestamp                = {2008.12.05}
}

@Book{Nowakowski1996,
  Title                    = {Games of No Chance},
  Editor                   = {R. J. Nowakowski},
  Publisher                = {Cambridge University Press},
  Year                     = {1996},

  Owner                    = {ph},
  Timestamp                = {2009.01.30}
}

@Proceedings{Harremoes2015b,
  Title                    = {Proceedings of the Eighth Workshop on Information Theoretic Methods in Science and Engineering},
  Year                     = {2015},
  Editor                   = {J. Rissanen and P. Harremo{\"e}s and S. Forchhammer and T. Roos and P. Myllym{\"a}ki},
  Number                   = {Report B-2015-1},
  Publisher                = {Univ. Helsinki, Dept. Computer Science},
  Series                   = {Series of Publications B},

  Owner                    = {peth},
  Timestamp                = {2015.12.24},
  Url                      = {http://www.harremoes.dk/WITMSE/witmse2015proceedings.pdf}
}

@Book{Smart1964,
  Title                    = {Problems of Space and Time},
  Editor                   = {J. J. C. Smart},
  Publisher                = {London},
  Year                     = {1964}
}

@Book{Newton1707,
  author    = {Newton},
  title     = {Arithmetica universalis; sive De Compositione et Resolutione Arith Theory Liber},
  edition   = {First edition},
  editor    = {W. Whiston},
  note      = {Based on lectes by I. Newton. This edition was never accepted by Newtonhimself.},
  publisher = {Canbrigi{/ae} Typis Academicis},
  address   = {London},
  year      = {1707},
}

@Book{Adler1995,
  author    = {S. L. Adler},
  title     = {Quaternionic Quantum Mechanics and Quantum Fields},
  year      = {1995},
  publisher = {Oxford Univ. Press},
  address   = {New York, Oxford},
}

@Book{McCrimmon2004,
  author    = {K. {McC}rimmon},
  title     = {A Taste of Jordan Algebras},
  year      = {2004},
  publisher = {Springer},
}

@Article{Uhlmann1970,
  author  = {A. Uhlmann},
  title   = {On the {S}hannon Entropy and Related Functionals on Convex Sets},
  journal = {Reports on Mathematical Physics},
  year    = {1970},
  volume  = {1},
  number  = {2},
  pages   = {147-159},
  url     = {https://doi.org/10.1016/0034-4877(70)90009-1},
}

@Article{Jencova2006,
  author  = {A. Jen\v{c}ov{\'a} and D. Petz},
  title   = {Sufficiency in Quantum Statistical Inference: A Survey with Examples},
  journal = {Infinite Dimensional Analysis, Quantum Probability and Related Topics},
  year    = {2006},
  volume  = {09},
  number  = {03},
  pages   = {331-351},
  eprint  = {http://www.worldscientific.com/doi/pdf/10.1142/S0219025706002408},
  url     = {https://doi.org/10.1142/S0219025706002408},
}

@Article{Gordon1974,
  author       = {S. R. Gordon},
  title        = {Associators in Simple Algebras},
  journaltitle = {Pacific Journal of Mathematics},
  year         = {1974},
  volume       = {51},
  number       = {1},
  pages        = {131-141},
}

@Article{Jencova2017,
  author   = {A. Jen\v{c}ov{\'a}},
  title    = {Preservation of a quantum {R}{\'e}nyi relative entropy implies existence of a recovery map},
  journal  = {Journal of Physics A: Mathematical and Theoretical},
  year     = {2017},
  volume   = {50},
  number   = {8},
  pages    = {085303},
  url      = {http://stacks.iop.org/1751-8121/50/i=8/a=085303},
  abstract = {It is known that a necessary and sufficient condition for equality in the data processing inequality (DPI) for the quantum relative entropy is the existence of a recovery map. We show that equality in DPI for a sandwiched Rényi relative α -entropy with ##IMG## [http://ej.iop.org/images/1751-8121/50/8/085303/aaa5661ieqn001.gif] {$\alpha >1$} is also equivalent to this property. For the proof, we use an interpolating family of L p -norms with respect to a state.},
}

@Article{Petz1988,
  author  = {D. Petz},
  title   = {Sufficiency of Channels over von {N}eumann algebras.},
  journal = {Quart. J. Math. Oxford},
  year    = {1988},
  volume  = {39},
  number  = {1},
  pages   = {97-108,},
  url     = {https://doi.org/10.1093/qmath/39.1.97},
}

@Article{Ovcharov2018,
  author  = {E. Y. Ovcharov},
  journal = {Bernoulli},
  title   = {Proper Scoring Rules and Bregman Divergences},
  year    = {2018},
  date    = {Sept.},
  note    = {Sept. 2015. arXiv:1502.01178},
  number  = {1},
  pages   = {53-79},
  url     = {https://arxiv.org/abs/1502.01178},
  volume  = {24},
}

@Article{Gneiting2007,
  author  = {Tilmann Gneiting and Adrian E Raftery},
  title   = {Strictly Proper Scoring Rules, Prediction, and Estimation},
  doi     = {10.1198/016214506000001437},
  eprint  = {http://dx.doi.org/10.1198/016214506000001437},
  number  = {477},
  pages   = {359-378},
  url     = {http://dx.doi.org/10.1198/016214506000001437},
  volume  = {102},
  journal = {Journal of the American Statistical Association},
  year    = {2007},
}

@Article{Lieb1998,
  author  = {E. Lieb and J. Yngvason},
  title   = {A Guide to Entropy and the Second Law of Thermodynamics},
  journal = {Notices of the AMS},
  year    = {1998},
  volume  = {45},
  issue   = {5},
  month   = {May},
  pages   = {571-581},
  url     = {http://www.ams.org/notices/199805/lieb.pdf},
}

@InBook{Lieb2010,
  author       = {E. Lieb and J. Yngvason},
  title        = {The Mathematics of the Second Law of Thermodynamics},
  booktitle    = {Visions in Mathematics},
  year         = {2010},
  editor       = {N. Alon and J. Bourgain and A. Connes and M. Gromov and V. Milman},
  booksubtitle = {GAFA 2000 Special Volume, Part I},
  publisher    = {Birkh{\"a}user Basel},
  pages        = {334-358},
  doi          = {10.1007/978-3-0346-0422-2_12},
}

@Article{Barnum2014,
  author   = {H. Barnum and M. P M{\"u}ller and C. Ududec},
  title    = {Higher-order interference and single-system postulates characterizing quantum theory},
  journal  = {New Journal of Physics},
  year     = {2014},
  volume   = {16},
  number   = {12},
  pages    = {123029},
  url      = {http://stacks.iop.org/1367-2630/16/i=12/a=123029},
  abstract = {We present a new characterization of quantum theory in terms of simple physical principles that is different from previous ones in two important respects: first, it only refers to properties of single systems without any assumptions on the composition of many systems; and second, it is closer to experiment by having absence of higher-order interference as a postulate, which is currently the subject of experimental investigation. We give three postulates—no higher-order interference, classical decomposability of states, and strong symmetry—and prove that the only non-classical operational probabilistic theories satisfying them are real, complex, and quaternionic quantum theory, together with three-level octonionic quantum theory and ball state spaces of arbitrary dimension. Then we show that adding observability of energy as a fourth postulate yields complex quantum theory as the unique solution, relating the emergence of the complex numbers to the possibility of Hamiltonian dynamics. We also show that there may be interesting non-quantum theories satisfying only the first two of our postulates, which would allow for higher-order interference in experiments while still respecting the contextuality analogue of the local orthogonality principle.},
}

@Article{Harremoes2017b,
  author  = {P. Harremo{\"e}s},
  title   = {Maximum entropy and sufficiency},
  journal = {AIP Conference Proceedings},
  year    = {2017},
  volume  = {1853},
  number  = {1},
  pages   = {040001},
  eprint  = {http://aip.scitation.org/doi/pdf/10.1063/1.4985352},
  url     = {https://doi.org/10.1063/1.4985352},
}
,
  title    = {Maximum entropy and sufficiency},
  journal  = {AIP Conference Proceedings},
  year     = {2017},
  volume   = {1853},
  number   = {1},
  pages    = {040001},
  doi      = {10.1063/1.4985352},
  eprint   = {http://aip.scitation.org/doi/pdf/10.1063/1.4985352},
  url      = {http://aip.scitation.org/doi/abs/10.1063/1.4985352},
  abstract = { The notion of Bregman divergence and sufficiency will be defined on general convex state spaces. It is demonstrated that only spectral sets can have a Bregman divergence that satisfies a sufficiency condition. Positive elements with trace 1 in a Jordan algebra are examples of spectral sets, and the most important example is the set of density matrices with complex entries. It is conjectured that information theoretic considerations lead directly to the notion of Jordan algebra under some regularity conditions. },
}

@TechReport{Gundersen2011a,
  author       = {T. Gundersen},
  title        = {An Introduction to the Concept of Exergy and Energy Quality},
  institution  = {Department of Energy and Process Engineering, Norwegian University of Science and Technology},
  year         = {2011},
  version      = {4},
  note         = {http://www.ivt.ntnu.no/ept/fag/tep4120/innhold/Exergy%20Light%20Version%204.pdf},
  url          = {http://www.ivt.ntnu.no/ept/fag/tep4120/innhold/Exergy%20Light%20Version%204.pdf},
  address      = {Trondheim, Norway},
  organization = {Department of Energy and Process Engineering, Norwegian University of Science and Technology},
}

@Article{Savage1951,
  author  = {L. Savage},
  title   = {The Theory of statistical decision},
  journal = {Journal of the American Statistical Association},
  year    = {1951},
  volume  = {46},
  pages   = {55-67},
}

@Article{Servage1951,
  author  = {L. J. Servage},
  title   = {The Theory of Statistical Decision},
  journal = {Journal of the American Statistical Association},
  year    = {1951},
  volume  = {46},
  pages   = {55-67},
}

@Article{Petz2003,
  author  = {D. Petz},
  title   = {Monotonicity of Quantum Relative Entropy Revisited},
  journal = {Reviews in Mathematical Physics},
  year    = {2003},
  volume  = {15},
  number  = {01},
  pages   = {79-91},
  doi     = {10.1142/S0129055X03001576},
  eprint  = {http://www.worldscientific.com/doi/pdf/10.1142/S0129055X03001576},
  url     = {http://www.worldscientific.com/doi/abs/10.1142/S0129055X03001576},
}

@Article{Harremoes2017,
  author     = {P. Harremo{\"e}s},
  title      = {Divergence and Sufficiency for Convex Optimization},
  journal    = {Entropy},
  year       = {2017},
  issuetitle = {Convex Optimization and Entropy},
  volume     = {19},
  number     = {5},
  pages      = {Article no. 206},
  issn       = {1099-4300},
  eprint     = {arXiv:1701.01010},
  eprinttype = {arXiv},
  url        = {https://doi.org/10.3390/e19050206},
}

@Book{Alfsen2003,
  author    = {E. M. Alfsen and F. W. Schulz},
  title     = {Geometry of State Spaces of Operator Algebras},
  year      = {2003},
  publisher = {Birkh{\"a}user},
  address   = {Boston},
}

@InProceedings{Barnum2015,
  author     = {H. Barnum and J. Barret and M. Krumm and M. P. M{\"u}ller},
  title      = {Entropy, majorization and thermodynamics in general probabilistic theories},
  booktitle  = {Proceedings of the 12th International Workshop on Quantum Physics and Logic},
  year       = {2015},
  editor     = {C. Heunen and P. Selinger and J. Vicary},
  eventdate  = {July 15-17, 2015},
  venue      = {Oxford, U.K.},
  volume     = {195},
  series     = {Electronic Proceedings in Theoretical Computer Science},
  pages      = {43-58},
  eprint     = {arXiv:1508.03107},
  eprinttype = {arXiv},
  url        = {https://arxiv.org/pdf/1508.03107.pdf},
}

@InProceedings{Harremoes2017a,
  author     = {P. Harremo{\"e}s},
  title      = {Quantum Information on Spectral Sets},
  booktitle  = {2017 IEEE International Symposium on Information Theory},
  year       = {2017},
  eventtitle = {ISIT2017},
  eventdate  = {June 25-30 2017},
  venue      = {Aachen, Germany},
  pages      = {1549-1553},
  eprint     = {arXiv:1701.06688},
  eprinttype = {arXiv},
  url        = {https://doi.org/978-1-5090-4096-4/17/$31.00},
}

@Article{Wojciechowski1975,
  author  = {S. Wojciechowski},
  title   = {Symmetric transition probabilities in convex model of quantum mechanics},
  journal = {Reports on Mathematical Physics},
  year    = {1975},
  volume  = {8},
  month   = dec,
  pages   = {387-390},
  doi     = {10.1016/0034-4877(75)90080-4},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl  = {http://adsabs.harvard.edu/abs/1975RpMP....8..387W},
}

@Article{Pitrik2015,
  author   = {Pitrik, J{\'o}zsef and Virosztek, D{\'a}niel},
  title    = {On the Joint Convexity of the {B}regman Divergence of Matrices},
  journal  = {Letters in Mathematical Physics},
  year     = {2015},
  volume   = {105},
  number   = {5},
  pages    = {675--692},
  issn     = {1573-0530},
  url      = {https://doi.org/10.1007/s11005-015-0757-y},
  abstract = {We characterize the functions for which the corresponding Bregman divergence is jointly convex on matrices. As an application of this characterization, we derive a sharp inequality for the quantum Tsallis entropy of a tripartite state, which can be considered as a generalization of the strong subadditivity of the von Neumann entropy. (In general, the strong subadditivity of the Tsallis entropy fails for quantum states, but it holds for classical states.) Furthermore, we show that the joint convexity of the Bregman divergence does not imply the monotonicity under stochastic maps, but every monotone Bregman divergence is jointly convex.},
}

@Article{Amari2009,
  author   = {S. I. Amari},
  journal  = {IEEE Trans. Inf. Theory},
  title    = {$\alpha$-Divergence Is Unique, Belonging to Both $f$-Divergence and Bregman Divergence Classes},
  year     = {2009},
  doi      = {10.1109/TIT.2009.2030485},
  issn     = {0018-9448},
  number   = {11},
  pages    = {4925-4931},
  volume   = {55},
  keywords = {geometry;optimisation;statistical distributions;Bregman divergence;Fisher metric;Kullback-Leibler divergence;alpha-divergence;f-divergence;geometrical structure;information monotonicity;optimization problems;positive arrays;probability distributions;Entropy;Information geometry;Matrix decomposition;Physics;Probability distribution;$f$-divergence;Bregman divergence;Fisher information;canonical divergence;dually flat structure;information geometry;information monotonicity},
  month    = {Nov},
}

@MastersThesis{Idel2013,
  author      = {M. Idel},
  title       = {On the structure of positive maps},
  institution = {Technische Universit{\" a}t M{\" u}nchen},
  year        = {2013},
  type        = {Master thesis},
  url         = {https://www-m5.ma.tum.de/foswiki/pub/M5/CQC/Masterarbeit.pdf},
}

@Article{Topsoe2008,
  author   = {Tops{\o}e, Flemming},
  title    = {Game theoretical optimization inspired by information theory},
  journal  = {Journal of Global Optimization},
  year     = {2008},
  volume   = {43},
  number   = {4},
  pages    = {553},
  issn     = {1573-2916},
  doi      = {10.1007/s10898-008-9340-8},
  url      = {http://dx.doi.org/10.1007/s10898-008-9340-8},
  abstract = {Inspired by previous work on information theoretical optimization problems, the basics of an axiomatic theory of certain special two-person zero-sum games is developed. One of the players, ``Observer'', is imagined to have a ``mind'', the other, ``Nature'', not. These ideas lead to un-symmetric modeling as the two players are treated quite differently. Basic concavity- and convexity results as well as a general minimax theorem are derived from the axioms.},
}

@InProceedings{Topsoe2011,
  author    = {F. Tops{\o}e},
  title     = {Cognition and Inference in an Abstract Setting},
  booktitle = {Proceedings WITMSE 2011},
  year      = {2011},
  location  = {Helsinki, Finland},
  pages     = {67-70},
  url       = {http://www.helsinki.fi/witmse2011/witmse2011-proceedings.pdf},
}

@Article{Kiwiel1997a,
  author     = {Krzysztof C. Kiwiel},
  title      = {Free-steering Relaxation Methods for Problems with Strictly Convex Costs and Linear Constraints},
  journal    = {Math. Oper. Res.},
  year       = {1997},
  volume     = {22},
  number     = {2},
  month      = may,
  pages      = {326--349},
  issn       = {0364-765X},
  doi        = {10.1287/moor.22.2.326},
  url        = {http://dx.doi.org/10.1287/moor.22.2.326},
  acmid      = {282529},
  address    = {Institute for Operations Research and the Management Sciences (INFORMS), Linthicum, Maryland, USA},
  issue_date = {May 1997},
  keywords   = {B-functions, convex programming, dual coordinate ascent, entropy maximization, nondifferentiable optimization, relaxation methods},
  numpages   = {24},
  publisher  = {INFORMS},
}

@Article{Kiwiel1997,
  author  = {Krzysztof C. Kiwiel},
  title   = {Proximal Minimization Methods with Generalized Bregman Functions},
  journal = {SIAM Journal on Control and Optimization},
  year    = {1997},
  volume  = {35},
  number  = {4},
  pages   = {1142-1168},
  doi     = {10.1137/S0363012995281742},
  eprint  = {http://dx.doi.org/10.1137/S0363012995281742},
  url     = {http://dx.doi.org/10.1137/S0363012995281742},
}

@Article{Bernardo1978,
  author  = {J. M. Bernardo},
  title   = {Expected Information as Expected Utility},
  journal = {The Annals of Statistics},
  year    = {1978},
  volume  = {7},
  number  = {3},
  month   = {May},
  pages   = {686-690},
  note    = {Institute of Mathematical Statistics},
  url     = {http://www.jstor.org/stable/2958753},
}

@InProceedings{No2015,
  author     = {A. No and T. Weissman},
  title      = {Universality of logarithmic loss in lossy compression},
  booktitle  = {2015 IEEE International Symposium on Information Theory},
  year       = {2015},
  eventtitle = {ISIT2015},
  month      = {June},
  pages      = {2166-2170},
  doi        = {10.1109/ISIT.2015.7282839},
  issn       = {2157-8095},
  keywords   = {data compression;rate distortion theory;refinement calculus;arbitrary distortion criterion;discrete memoryless source;fixed length lossy compression problem;logarithmic loss universality;rate-distortion;successive refinement problem;Decoding;Distortion;Distortion measurement;Encoding;Loss measurement;Rate-distortion;Fixed-length lossy compression;logarithmic loss;rate-distortion;successive refinability},
}

@Article{Jaynes1957b,
  author  = {E. T. Jaynes},
  title   = {Information Theory and Statistical Mechanics, {II}},
  journal = {Physical Reviews},
  year    = {1957},
  volume  = {108},
  pages   = {171-190},
}

@Book{Han2002,
  author     = {Te Sun Han and K. Kobayashi},
  title      = {Mathematics of Information and Coding},
  year       = {2002},
  translator = {J. Suzuki},
  volume     = {203},
  series     = {Translations of Mathematical Monographs},
  publisher  = {American Mathematical Society},
  location   = {Providence, USA},
}

@Unpublished{Marletto2016,
  author = {C. Marletto},
  title  = {Constructor Theory of Thermodynamics},
  year   = {2016},
  note   = {arXiv:1608.02625},
}

@Article{Deutch2014,
  author  = {D. Deutch and C. Marletto},
  title   = {Constructor theory of information},
  journal = {Proceedings of the Royal Society A},
  year    = {2014},
  month   = {December},
  doi     = {10.1098/rspa.2014.0540},
}

@InCollection{Bauschke2001,
  author    = {Heinz H. Bauschke and Jonathan M. Borwein},
  booktitle = {Inherently Parallel Algorithms in Feasibility and Optimization and their Applications},
  title     = {Joint and Separate Convexity of the Bregman Distance},
  doi       = {https://doi.org/10.1016/S1570-579X(01)80004-5},
  editor    = {Dan Butnariu, Yair Censor and Simeon Reich},
  pages     = {23 - 36},
  publisher = {Elsevier},
  series    = {Studies in Computational Mathematics},
  url       = {http://www.sciencedirect.com/science/article/pii/S1570579X01800045},
  volume    = {8},
  abstract  = {Algorithms involving Bregman projections for solving optimization problems have beenreceiving much attention lately. Several of these methods rely crucially on the joint convexity of the Bregman distance. In this note, we study joint and separate convexity of Bregman distances. To bring out the main ideas more clearly, we consider first functions defined on an open interval. Our main result states that the Bregman distance of a given function is jointly convex if and only if the reciprocal of its second derivative is concave. We observe that Bregman distances induced by the two most popular choices�the energy and the Boltzmann-Shannon entropy�are limiting cases in a profound sense. This result is generalized by weakening assumptions on differentiability and strict convexity. We then consider general, not necessarily separable, convex functions. The characterization of joint convexity has a natural and beautiful analog. Finally, we discuss spectral functions, where the situation is less clear. Throughout, we provide numerous examples to illustrate our results.},
  issn      = {1570-579X},
  keywords  = {:Bregman distance, convex function, joint convexity, separate convexity},
  year      = {2001},
}

@Article{Hansen2015,
  author   = {Hansen, Frank and Zhang, Zhihua},
  title    = {Characterisation of Matrix Entropies},
  journal  = {Letters in Mathematical Physics},
  year     = {2015},
  volume   = {105},
  number   = {10},
  pages    = {1399--1411},
  issn     = {1573-0530},
  url      = {https://doi.org/10.1007/s11005-015-0784-8},
  abstract = {The notion of matrix entropy was introduced by Tropp and Chen with the aim of measuring the fluctuations of random matrices. It is a certain entropy functional constructed from a representing function with prescribed properties, and Tropp and Chen gave some examples. We give several abstract characterisations of matrix entropies together with a sufficient condition in terms of the second derivative of their representing function.},
}

@Article{Cover1991a,
  author  = {T. M. Cover},
  title   = {Universal portfolios},
  journal = {Math. Finance},
  year    = {1991},
  volume  = {1},
  pages   = {1-29},
}

@Article{Bikhchandani2011,
  author    = {Bikhchandani, Sushil and Segal, Uzi},
  title     = {Transitive regret},
  journal   = {Theoretical Economics},
  year      = {2011},
  volume    = {6},
  number    = {1},
  pages     = {95--108},
  issn      = {1555-7561},
  doi       = {10.3982/TE738},
  url       = {http://dx.doi.org/10.3982/TE738},
  keywords  = {Regret, transitivity, nonexpected utility, D81},
  publisher = {Blackwell Publishing Ltd},
}

@Unpublished{Barnum2017,
  author      = {Howard Barnum and Ciar�n M. Lee and Carlo Maria Scandolo and John H. Selby},
  title       = {Ruling out higher-order interference from purity principles},
  year        = {2017},
  date        = {2017-04-17},
  abstract    = {As first noted by Rafael Sorkin, there is a limit to quantum interference. The interference pattern formed in a multi-slit experiment is a function of the interference patterns formed between pairs of slits; there are no genuinely new features resulting from considering three slits instead of two. Sorkin has introduced a hierarchy of mathematically conceivable higher-order interference behaviours, where classical theory lies at the first level of this hierarchy and quantum theory theory at the second. Informally, the order in this hierarchy corresponds to the number of slits on which the interference pattern has an irreducible dependence. Many authors have wondered why quantum interference is limited to the second level of this hierarchy. Does the existence of higher-order interference violate some natural physical principle that we believe should be fundamental? In the current work we show that natural physical principles can be found which limit interference behaviour to second-order, or "quantum-like", interference, but that do not restrict us to the entire quantum formalism. We work within the operational framework of generalised probabilistic theories, and prove that any theory satisfying Causality, Purity Preservation, Pure Sharpness, and Purification---four principles that formalise the fundamental character of purity in nature---exhibits at most second-order interference. Hence these theories are, at least conceptually, very "close" to quantum theory. Along the way we show that systems in such theories correspond to Euclidean Jordan Algebras. Hence, they are self-dual and, moreover, multi-slit experiments in such theories are described by pure projectors.},
  eprint      = {1704.05106v1},
  eprintclass = {quant-ph},
  eprinttype  = {arXiv},
  file        = {online:http\://arxiv.org/pdf/1704.05106v1:PDF},
  keywords    = {quant-ph},
}

@Article{Takahashi2017,
  author   = {Kaito Takahashi and Akio Fujiwara},
  title    = {Information geometry of sandwiched Rényi $\alpha$-divergence},
  journal  = {Journal of Physics A: Mathematical and Theoretical},
  year     = {2017},
  volume   = {50},
  number   = {16},
  pages    = {165301},
  url      = {http://stacks.iop.org/1751-8121/50/i=16/a=165301},
  abstract = {Information geometrical structure ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn003.gif] {$\left({{g}^{\left({{D}_{\alpha}}\right)}},{{\nabla}^{\left({{D}_{\alpha}}\right)}},{{\nabla}^{\left({{D}_{\alpha}}\right)\ast}}\right)$} induced from the sandwiched Rényi ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn004.gif] {$\alpha $} -divergence ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn005.gif] {${{D}_{\alpha}}\left(\rho \parallel \sigma \right):=\frac{1}{\alpha \left(\alpha -1\right)}\log \,\text{Tr}\,{{\left({{\sigma}^{\frac{1-\alpha}{2\alpha}}}\rho \,{{\sigma}^{\frac{1-\alpha}{2\alpha}}}\right)}^{\alpha}}{{}^{{}}}$} on a finite quantum state space ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn006.gif] {$\mathcal{S}$} is studied. It is shown that the Riemannian metric ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn007.gif] {${{g}^{\left({{D}_{\alpha}}\right)}}$} is monotone if and only if ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn008.gif] {$\alpha \in \left(-\infty,-1\right]{\cup}^{}\left[\frac{1}{2},\infty \right)$} , and that the quantum statistical manifold ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn009.gif] {$\left(\mathcal{S},{{g}^{\left({{D}_{\alpha}}\right)}},{{\nabla}^{\left({{D}_{\alpha}}\right)}},{{\nabla}^{\left({{D}_{\alpha}}\right)\ast}}\right)$} is dually flat if and only if ##IMG## [http://ej.iop.org/images/1751-8121/50/16/165301/aaa6326ieqn010.gif] {$\alpha =1$} .},
}

@Article{Chen2014,
  author  = {R. Y. Chen and J.A. Tropp},
  title   = {Subadditivity of matrix $\phi$-entropy and concentration of random matrices},
  journal = {Electron. J. Probab.},
  year    = {2014},
  volume  = {19},
  number  = {paper 27},
  pages   = {1-30},
  url     = {https://doi.org/10.1214/EJP.v19-2964},
}

@InCollection{Farnia2016,
  author    = {Farnia, Farzan and Tse, David},
  title     = {A Minimax Approach to Supervised Learning},
  booktitle = {Advances in Neural Information Processing Systems 29},
  year      = {2016},
  editor    = {D. D. Lee and M. Sugiyama and U. V. Luxburg and I. Guyon and R. Garnett},
  publisher = {Curran Associates, Inc.},
  pages     = {4240--4248},
  url       = {http://papers.nips.cc/paper/6247-a-minimax-approach-to-supervised-learning.pdf},
}

@InProceedings{Harremoes2017c,
  author       = {P. Harremo{\"e}s},
  title        = {Entropy on Spin Factors},
  booktitle    = {Information Geometry and Its Applications},
  year         = {2018},
  editor       = {Nihat Ay and Paolo Gibilisco and Franti{\v s}ek Mat{\' u}{\v s}},
  booksubtitle = {O},
  eventtitle   = {IGAIA IV, Liblice, Czech Republic, June 2016},
  volume       = {252},
  part         = {Part III Theoretical Aspects of Information Geometry},
  series       = {Springer Proceedings in Mathematics \& Statistics},
  publisher    = {Springer},
  pages        = {247-278},
  eprint       = {arXiv:1707.03222},
  howpublished = {arXiv},
}

@Article{Revfeim1984,
  author  = {K. J. A. Revfeim},
  title   = {An initial model of the relationship between rainfall events and daily rainfalls},
  journal = {Journal of Hydrology},
  year    = {1984},
  volume  = {75},
  month   = dec,
  pages   = {357-364},
  doi     = {10.1016/0022-1694(84)90059-3},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl  = {http://adsabs.harvard.edu/abs/1984JHyd...75..357R},
}

@Article{Thompson1984,
  author    = {Thompson, C. S.},
  title     = {Homogeneity analysis of rainfall series: An application of the use of A realistic rainfall model},
  journal   = {Journal of Climatology},
  year      = {1984},
  volume    = {4},
  number    = {6},
  pages     = {609--619},
  issn      = {1097-0088},
  doi       = {10.1002/joc.3370040605},
  url       = {http://dx.doi.org/10.1002/joc.3370040605},
  keywords  = {In homogeneous rainfall records, Model of monthly rainfall with meaningful parametric representation, Reference areal values of parameters, Site changes, Methodology to evaluate rainfall homogeneity},
  publisher = {John Wiley \& Sons, Ltd.},
}

@InProceedings{Kotlowski2011,
  author     = {W. Kot\l{}owski and P. Gr{\"u}nwald},
  title      = {Maximum Likelihood vs. Sequential Normalized Maximum Likelihood in On-line Density Estimation},
  booktitle  = {JMLR: Workshop and Conference Proceedings},
  year       = {2011},
  editor     = {Sham Kakade and Ulrike von Luxburg},
  subtitle   = {19},
  eventtitle = {24th Annual Conference on Learning Theory},
  volume     = {19},
  pages      = {457-475},
}

@InProceedings{Hedayati2012,
  author    = {F. Hedayati and P. L. Bartlett},
  title     = {The optimality of Jeffreys prior for online density estimation and the asymptotic normality of maximum likelihood estimators},
  booktitle = {Proceedings of the Fifth Workshop on Information Theoretic Methods in Science and Engineering (WITMSE 2012)},
  year      = {2012},
  volume    = {23},
  pages     = {1-13},
}

@InProceedings{Hedayati2012a,
  author    = {F. Hedayati and P. Bartlett},
  title     = {Exchangeability Characterizes Optimality of Sequential Normalized Maximum Likelihood and Bayesian Prediction with Jeffreys Prior},
  booktitle = {Proceedings of the Fifteenth International Conference on Artificial Intelligence and Statistics},
  year      = {2012},
  volume    = {22},
  pages     = {504-510},
}

@InProceedings{Smyth1996,
  author    = {Smyth, G. K.},
  title     = {Regression analysis of quantity data with exact zeros},
  booktitle = {Proceedings of the Second Australia-Japan Workshop on Stochastic Models in Engineering, Technology and Management},
  year      = {1996},
  venue     = {Technology Management Centre, University of Queensland},
  pages     = {572-580},
}

@Article{Withers2011,
  author   = {Withers, Christopher S. and Nadarajah, Saralees},
  title    = {{On the compound {P}oisson-gamma distribution}},
  journal  = {Kybernetika},
  year     = {2011},
  volume   = {47},
  number   = {1},
  pages    = {15--37},
  issn     = {00235954},
  abstract = {The compound Poisson-gamma variable is the sum of a random sample from a gamma distribution with sample size an independent Poisson random variable. It has received wide ranging applications. In this note, we give an account of its mathematical properties including estimation procedures by the methods of moments and maximum likelihood. Most of the properties given are hitherto unknown.},
  file     = {:C$\backslash$:/Users/Peth/Documents/Matematik/Horisont/paper.pdf:pdf},
  keywords = {Compound Poisson-gamma,Estimation,Expansions,Moments},
}

@Article{Daniels1980,
  author    = {H. E. Daniels},
  title     = {Exact Saddlepoint Approximations},
  journal   = {Biometrika},
  year      = {1980},
  volume    = {67},
  number    = {1},
  pages     = {59-63},
  issn      = {00063444},
  url       = {http://www.jstor.org/stable/2335316},
  abstract  = {The renormalized saddlepoint approximation to the probability density of an estimator often has a surprisingly low relative error over the whole admissible range of the parameter. In particular it is known to be exact for certain densities. This raises the question of how to characterize the class of such exact cases. The density of the mean of a univariate random sample is discussed. It is shown that the normal, gamma and inverse normal are the only possible densities for which the renormalized saddlepoint approximation reproduces exactly the density of the mean.},
  publisher = {[Oxford University Press, Biometrika Trust]},
}

@InProceedings{Harremoes2017d,
  author    = {P. Harremo{\" e}s},
  title     = {Sharp Bounds on Tail Probabilities for Poisson Random Variables},
  booktitle = {Proceedings of the Tenth Workshop on Information Theoretic Methods in Science and Engineering, Paris, France, September 11-13, 2017},
  year      = {2017},
  editor    = {Jacquet, Philippe and Leppä-Aho, Janne and Roos, Teemu},
  venue     = {Paris},
  series    = {Publication series B},
  number    = {Report B-2017-3},
  publisher = {Department of Computer Science, University of Helsinki},
  pages     = {17-19},
  url       = {http://hdl.handle.net/10138/229679},
}

@Article{Blesild1985,
  author  = {P. Bl{\ae}sild and J. L. Jensen},
  title   = {Saddlepoint Formulas for Reproductive Exponential Models},
  journal = {Scand. J. Statist.},
  year    = {1985},
}

@Article{Barndorff-Nielsen1983,
  author  = {O. Barndorff-Nielsen and P. Bl{\ae}sild},
  title   = {Reproductive Exponential Families},
  journal = {The Annals of Statistics},
  year    = {1983},
  volume  = {11},
  number  = {3},
  pages   = {770-782},
}

@Article{Moreau1965,
  author  = {J. J. Moreau},
  title   = {Proximit{\'e} et dualit{\'e} dans un espace hilbertien},
  journal = {Bulletin de la S. M. F.},
  year    = {1965},
  volume  = {93},
  pages   = {273-299},
}

@InProceedings{Rissanen2007,
  author    = {J. Rissanen and T. Roos},
  title     = {Conditional {NML} universal models},
  booktitle = {Information Theory and Applications Workshop (ITA-07)},
  year      = {2007},
  pages     = {37-341},
}

@Book{Raiffa1961,
  author    = {H. Raiffa and R. Schlaifer},
  title     = {Applied Statistical Decision Theory, Division of Research},
  year      = {1961},
  publisher = {Grad. School of Busimess Adm. Harvard},
  location  = {New York},
}

@Book{Liu2014,
  author = {H. Liu and L. Wasserman},
  title  = {Statistical Machine Learning},
  year   = {2014},
  url    = {http://www.stat.cmu.edu/~larry/=sml/Bayes.pdf},
}

@Article{Alexandrov1939,
  author   = {A. D. Alexandrov},
  title    = {Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it},
  journal  = {Leningrad State Univ. Ann. [Uchenye Zapiski]},
  year     = {1939},
  language = {In Russian},
  series   = {Math. Ser.},
  volume   = {6},
  number   = {335},
}

@Unpublished{Virosztek2017,
  author = {D. Virosztek},
  title  = {Jointly convex quantum {J}ensen divergences},
  year   = {2017},
  note   = {arXiv: 1712.05324},
  month  = {12},
}

@Book{Hayashi2016,
  author    = {M. Hayashi},
  title     = {Quantum Information Theory: Mathematical Foundation},
  year      = {2016},
  publisher = {Springer},
}

@InProceedings{Harremoes2018,
  author = {P. Harremo{\"e}s},
  title  = {Statistical Inference and Exact Saddle Point Approximations},
  year   = {2018},
  note   = {Accepted for presentation at ISIT 2018},
}

@Article{Pawlowski2009,
  author  = {M. Pawlowski and T. Paterek and D. Kaszlikowski and V. Scarani and A. Winter and M. Zukowski},
  title   = {Information Causality as a Physical Principle},
  journal = {Nature},
  year    = {2009},
  volume  = {461},
  pages   = {1101-1104},
  doi     = {https://doi.org/10.1038/nature08400},
  eprint  = {arXiv:0909.2601},
  comment = {https://www.nature.com/articles/nature08400#supplementary-information},
}

@Article{Short2010,
  author  = {A. J. Short and S. Wehner},
  title   = {Entropy in general physical theories},
  journal = {New J. Phys.},
  year    = {2010},
  volume  = {12},
  pages   = {033023},
}

@Article{Baes2007,
  author  = {M. Baes},
  title   = {Convexity and differentiability properties of spectral functions and spectral mappings on {E}uclidean {J}ordan algebras},
  journal = {Linear Algebra and its Applications},
  year    = {2007},
  volume  = {422},
  pages   = {664-700},
  doi     = {doi:10.1016/j.laa.2006.11.025},
}

@Online{Barnum2016,
  author = {H. Barnum and M. Graydon and A. Wilce},
  title  = {Composites and categories of {E}uclidean {J}ordan algebras},
  year   = {2016},
  note   = {arXiv preprint arXiv:1606.09331},
}

@Misc{Barnum2019,
  author        = {H. Barnum and J. Hilgert},
  title         = {Strongly symmetric spectral convex bodies are {J}ordan algebra state spaces},
  year          = {2019},
  eprint        = {1904.03753},
  archiveprefix = {arXiv},
  primaryclass  = {math-ph},
}

@Article{Krumm2017,
  author    = {Krumm, Marius and Barnum, Howard and Barrett, Jonathan and M{\"u}ller, Markus P},
  title     = {Thermodynamics and the structure of quantum theory},
  journal   = {New Journal of Physics},
  year      = {2017},
  volume    = {19},
  number    = {4},
  month     = {Apr},
  pages     = {043025},
  issn      = {1367-2630},
  doi       = {10.1088/1367-2630/aa68ef},
  url       = {http://dx.doi.org/10.1088/1367-2630/aa68ef},
  publisher = {IOP Publishing},
}

@InProceedings{Matus2017,
  author    = {F. Mat{\' u}{\v s}},
  title     = {Urns and entropies revisited},
  booktitle = {2017 IEEE International Symposium on Information Theory (ISIT),},
  year      = {2017},
  pages     = {1451-1454},
}

@Article{Manogue2010,
  author  = {C. A. Manogue and T. Dray},
  title   = {Octonions, E6, and Particle Physics},
  journal = {J. Phys. Conf.},
  year    = {2010},
  series  = {254},
  pages   = {012005},
  eprint  = {arXiv:0911.2253v2},
}

@Article{Guenaydin1973,
  author  = {M. G{\"u}naydin and F. G{\"u}rsey},
  title   = {Quark Structure and Octonions},
  journal = {J. Math. Phys.},
  year    = {1973},
  volume  = {14},
  number  = {11},
  pages   = {1651-1667},
}

@Article{Jordan1934,
  author  = {P. Jordan and J. von Neumann and E. Wigner},
  title   = {On an Algebraic Generalization of the Quantum Mechanical Formalism},
  journal = {Annals of Mathematics},
  year    = {1934},
  volume  = {35},
  number  = {1},
  pages   = {29-64},
  note    = {JSTOR 1968117},
  doi     = {10.2307/1968117},
}

@Article{Harremoes2018a,
  author  = {P. Harremo{\"e}s},
  title   = {Entropy inequalities for Lattices},
  journal = {Entropy},
  year    = {2018},
  volume  = {20},
  pages   = {748},
  doi     = {10.3390/e20100784},
}

@Article{Dawid2001,
  author  = {A. P. Dawid},
  title   = {Separoids: A mathematical framework for conditional independence and irrelevance.},
  journal = {Ann. Math. Artif. Intell.},
  year    = {2001},
  volume  = {32},
  pages   = {335-372},
}

@Article{Harremoes2020,
  author        = {P. Harremo{\" e}s},
  title         = {From Thermodynamic Sufficiency to Information Causality},
  journal       = {Quantum Studies: Mathematics and Foundations},
  year          = {2020},
  month         = {2},
  pubstate      = {Accepted},
  doi           = {10.1007/s40509-020-00222-w},
  eprint        = {2002.02895},
  eprintclass   = {arXiv},
  archiveprefix = {arXiv},
  primaryclass  = {quant-ph},
}

@Article{Harremoes2020a,
  author        = {P. Harremo{\" e}s and F. Mat{\' u}{\v s}},
  title         = {Bounds on the Information Divergence for Hypergeometric Distributions},
  year          = {2020},
  month         = {2},
  eprint        = {2002.03002},
  eprintclass   = {arXiv},
  archiveprefix = {arXiv},
  primaryclass  = {math.PR},
}

@Electronic{amakelov2017,
  author  = {Amakelov},
  date    = {2017-09-13},
  title   = {Bregman divergence symmetric iff function is quadratic},
  url     = {https://math.stackexchange.com/questions/2242980/bregman-divergence-symmetric-iff-function-is-quadratic},
  note    = {Discussion at Stack Exchange Network 2017-09-13},
  urldate = {2020-08-20},
}

@Book{Wilderberger2005,
  author    = {N. Wilderberger},
  title     = {Divine Proportions},
  year      = {2005},
  maintitle = {Rational Trigonometry to Univers},
  publisher = {Wildegg},
}

@Article{Bottema1979,
  author       = {O. Bottema},
  journaltitle = {Elem. Math.},
  title        = {Eine Erweiterung der Stewartschen Formel},
  year         = {1979},
  pages        = {138-140},
  volume       = {34},
}

@Article{Bottema1980,
  author       = {O. Bottema},
  journaltitle = {Nieuw Tijdschr. Wisk.},
  title        = {De formule van {S}tewart voor een viervlak},
  year         = {1980-1981},
  pages        = {79-83},
  volume       = {68},
}

@Book{Coxeter1967,
  author    = {H.S.M. Coxeter and S.L. Greitzer},
  title     = {Geometry Revisited},
  year      = {1967},
  isbn      = {0-88385-619-0},
  number    = {19},
  publisher = {The Mathematical Association of America},
  series    = {New Mathematical Library},
}

@Book{Hausner1965,
  author    = {M. Hausner},
  title     = {A Vector Space approach to Geometry},
  year      = {1965},
  publisher = {Dover},
}

@Article{Abdulghany2017,
  author       = {A. R. Abdulghany},
  journaltitle = {American Journal of Physics},
  title        = {Generalization of parallel axis theorem for rotational inertia},
  year         = {2017},
  doi          = {https://dx.doi.org/10.1119/1.4994835},
  pages        = {791},
  volume       = {85},
}

@Book{Haas1928,
  author = {A. E. Haas},
  title  = {Introduction to theoretical physics},
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@Article{Stigler1981,
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@Book{Legendre1805,
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@Book{Mardia2000,
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@Article{,
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@Book{Voss2014,
  author       = {J. Voss},
  title        = {An Introduction to Statistical Computing},
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@Misc{Soloveychik2020,
  author      = {I. Soloveychik},
  date        = {2020},
  title       = {Central Limit Theorem for Symmetric Exchangeable Random Variables},
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@Article{Bertsimas2020,
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  number  = {3},
  pages   = {949-964},
  volume  = {68},
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