% This file was created with JabRef 2.7. % Encoding: Cp1252 @INCOLLECTION{Finetti1937, author = {B. {de Finetti}}, title = {Foresight: Its Logical Laws in Subjective Sources}, booktitle = {Studies in Subjective Probability}, publisher = {Wiley}, year = {1964}, editor = {H. E. Kyburg and H. E. Smokler}, pages = {93-158}, address = {London}, note = {Reprint from 1937 edition} } @BOOK{Finetti1974, title = {Theory of Probability}, publisher = {Wiley}, year = {1974}, author = {B. {de Finetti}}, address = {London}, note = {Italian original 1970} } @INBOOK{Finetti1931, pages = {251-299}, title = {Funzione Caratteristica Di un Fenomeno Aleatorio}, publisher = {Academia Nazionale del Linceo}, year = {1931}, author = {B. {de Finetti}}, series = {6. 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Vajda}, title = {Statistical Information and Discrimination}, journal = {IEEE Trans. Inform. Theory}, year = {1993}, volume = {39}, pages = {1036-1039}, number = {3} } @BOOK{Ohrstrom1989, title = {Tidslogik Og Kunstig Intelligens}, publisher = {Aalborg Universitetsforlag}, year = {1989}, author = {P. {\O}hrstr{\o}m}, address = {Aalborg} } @BOOK{Cencov1972, title = {Statistical decision rules and optimal inference.}, publisher = {Nauka}, year = {1972}, author = {N. N. {\v C}encov}, 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}ythagoreantheorem}, journal = {Math. Zametki}, year = {1968}, volume = {4}, pages = {323-332}, note = {(in {R}ussian)} } @ARTICLE{Abe2005, author = {S. Abe and G. B. Bagci}, title = {Necessity of $q$-expectation value in nonextensive statistical pmechanics}, journal = {Physical Review E}, year = {2005}, volume = {71}, pages = {016139,1-5} } @BOOK{Aczel1975, title = {On Measures of Information and Their Characterizations}, publisher = {Academic Press}, year = {1975}, author = {J. Acz{\'e}l and Z. Dar{\'o}czy}, owner = {Peter Harremoes}, timestamp = {2010.09.11} } @ARTICLE{Ahlswede1990, author = {R. Ahlswede and M. Burnashev}, title = {On minimax estimation in presence of side information about remote data}, journal = {Ann. Statist.}, year = {1990}, volume = {18}, pages = {141-171}, owner = {ph}, timestamp = {2007.02.18} } @ARTICLE{Ahlswede2000, author = {R. Ahlswede and N. Cai and S.-Y. R. Li and R. W. Yeung}, title = {Network Information Flow}, journal = {IEEE Trans. Inform. Theory}, year = {2000}, volume = {IT-46}, pages = {1204-1216} } @ARTICLE{Ahlswede1986, author = {R. Ahlswede and I. Csisz{\'a}r}, title = {Hypothesis testing with communication constraints}, journal = {IEEE Trans. Inform. Theory}, year = {1986}, volume = {32}, pages = {533-542}, owner = {ph}, timestamp = {2007.02.18} } @ARTICLE{Ahlswede1976, author = {R. Ahlswede and P. G{\'a}cs and J. K{\"o}rner}, title = {Bounds on conditional probabilities with applications in multiuser communication}, journal = {Z. Wahrscheinlichkeitsth. verw. Gebiete}, year = {1976}, volume = {34}, pages = {157-177}, owner = {ph}, timestamp = {2007.02.18} } @BOOK{Ahlswede1977, title = {On the connection between the entropies of input and output distributions of discrete memoryless channels}, publisher = {Proceedings of the Fifth Conference on Probability Theory, 1974, Brasov, Romania}, year = {1977}, editor = {Editura Academiei Republicii Socialiste Romania}, author = {R. Ahlswede and J. K{\"o}rner}, series = {B. Bereanu and M. Iosifescu and G. Popescu}, address = {Bucuresti}, edition = {13-22}, month = {The Centra of Mathematical Statistics of the Ministry of Education} } @BOOK{Ahlswede1987, title = {Search Problems}, publisher = {Wiley}, year = {1987}, author = {R. Ahlswede and I. Wegener}, address = {Chichester, U.K.}, note = {German original by Teubner, 1979} } @ARTICLE{Ahlswede1990a, author = {R. F. Ahlswede}, title = {Extremal Properties of Rate-Distortion Functions}, journal = {IEEE. Trans. Inform. Theory}, year = {1990}, volume = {36}, pages = {166-171}, owner = {ph}, timestamp = {2008.12.30} } @MISC{Alberti2008, author = {P. M. Alberti and B. Crell and A. Uhlmann and C. Zylka}, title = {Order Structure (Majorization) and Irreversible Processes}, howpublished = {ScientificCommons}, 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, author = {David Aldous and Persi Diaconis}, title = {Strong Uniform Times and Finite Random Walks}, journal = {Advances in Applied Mathematics}, year = {1987}, volume = {8}, pages = {69--97} } @ARTICLE{Algoet1988, author = {P. H Algoet and T. M. Cover}, title = {A Sandwich Proof of the {S}hannon-{McMillan}-{B}reiman Theorem}, journal = {Ann. Probab.}, year = {1988}, volume = {16}, pages = {899-909} } @ARTICLE{Ali1966, author = {S. M. Ali and S. D. Silvey}, title = {A General Class of Coefficients of Divergence of One Distribution from Another}, journal = {J. Roy. Statist. Soc. Ser B}, year = {1966}, volume = {28}, pages = {131-142} } @BOOK{Alling1987, title = {Foundations of Analysis over Surreal Number Fields}, publisher = {Elsevier}, year = {1987}, editor = {L. Nachbin}, author = {N. L. Alling}, volume = {141}, series = {North-Holland Mathematicsl Studies}, address = {Amsterdam}, owner = {ph}, timestamp = {2009.01.30} } @INPROCEEDINGS{Amari2002, author = {S. Amari}, title = {Information Geometry of statistical inference - an overview}, booktitle = {Proceedings of 2002 IEEE Information Theory Workshop, Bangalore}, year = {2002}, pages = {86--89} } @ARTICLE{Amari2001, author = {S.I. Amari}, title = {Information Geometry on Hierarchy of Probability Distributions}, journal = {IEEE Trans. Inform. Theory}, year = {2001}, volume = {47}, pages = {1701-1711} } @BOOK{Amari1985, title = {Differential-Geometrical Methods in Statistic}, publisher = {Springer}, year = {1985}, author = {S. 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Bagci}, title = {The physical meaning of {R}{\'e}nyi relative entropies}, year = {2007}, url = {arXiv:cond-mat/0703008v1} } @BOOK{Bahadur1981, title = {Some Limit Theorems in Statistics}, publisher = {SIAM}, year = {1981}, author = {R. R. Bahadur}, address = {Philadelphia} } @ARTICLE{Bahadur1960, author = {R. R. Bahadur}, title = {Some approximations to the binomial distribution function}, journal = {Annals of mathematical statistics}, year = {1960}, volume = {31}, pages = {43-54}, owner = {Peter Harremoes}, timestamp = {2012.01.07} } @ARTICLE{Bahadur1960a, author = {R. R. Bahadur and R. R. Rao}, title = {On deviation of the sample mean}, journal = {Annals of Mathematical Statistics}, year = {1960}, volume = {31}, pages = {1015–1027}, owner = {Peter Harremoes}, timestamp = {2012.01.07} } @INBOOK{Bakry1985, pages = {179-206}, title = {Diffusions hypercontractives}, publisher = {Springer}, year = {1985}, author = {D. Bakry and M. Emery}, volume = {1123}, series = {Lect. Notes in Math.}, booktitle = {S{\'e}minaire de Probabilit{\'e}s} } @ARTICLE{Ball2003, author = {K. Ball and F. Barthe and Assaf Naor}, title = {Entropy jumps in the presence of a spectral gap}, journal = {Duke Math. J}, year = {2003}, volume = {119}, pages = {41-63}, number = {1} } @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}, owner = {ph}, timestamp = {2007.01.04} } @ARTICLE{Bar-Lev2010, author = {S. K. Bar-Lev and D. Bshounty and P. Gr\"unwald and P. Harremo{\"e}s}, title = {Jeffreys vs. {S}htarkov Distributions Asssociated with some Natural Exponential Families}, journal = {Statistical Methodology}, year = {2010}, volume = {7}, pages = {638-643}, doi = {10.1016/j.stamet.2010.06.001}, owner = {ph}, timestamp = {2009.09.24}, url = {www.harremoes.dk/Peter/STAMET264.pdf} } @ARTICLE{Barbour1984, author = {A. D. Barbour and P. Hall}, title = {On the rate of {P}oisson convergence}, journal = {Math. Proc. Cambridge Philos. Soc.}, year = {1984}, volume = {95}, pages = {473 - 480}, number = {3} } @BOOK{Barbour1992, title = {Poisson Approximation}, publisher = {Clarendon Press}, year = {1992}, author = {A. D. Barbour and L. Holst and S. 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Harremo{\"e}s}, title = {{R}\'enyi Divergence and Majorization}, booktitle = {Proceedings ISIT 2010}, year = {2010}, pages = {1335-1339}, month = {June}, organization = {IEEE}, owner = {ph}, timestamp = {2010.01.26}, url = {http://arxiv.org/abs/1001.4448} } @BOOK{Estoup1916, title = {Gammes St{\'e}nographiques}, publisher = {Institut Stenographique de France}, year = {1916}, author = {J. B. Estoup}, address = {Paris} } @PHDTHESIS{Ettinger1996, author = {M. Ettinger}, title = {Topics in Combinatorial Games}, school = {University of Wisconsin}, year = {1996}, type = {PhD thesis}, address = {Madison}, owner = {ph}, timestamp = {2009.05.18} } @BOOK{Euler1748, title = {Introducio in Analysia Infinetarium}, year = {1748}, author = {L. Euler}, volume = {1}, address = {Lausanne}, owner = {Peter Harremoes}, timestamp = {2011.01.24} } @ARTICLE{Euler1737, author = {L. 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Willems}, pages = {143}, address = {Eindhoven}, organization = {Werkgemeenschap voor Informatie- en Communicatietheorie}, file = {:http\://www.harremoes.dk/Peter/WIC.pdf:PDF}, owner = {ph}, timestamp = {2009.03.18}, url = {http://arxiv.org/abs/0903.5399} } @INPROCEEDINGS{Grunwald2009, author = {P. Gr{\"u}nwald and P. Harremo{\"e}s}, title = {Finiteness of Redundancy, Regret, {S}htarkov Sums, and {J}effreys Integrals in Exponential Families}, booktitle = {Proceedings for the International Symposium for Information Theory, Seoul, 2009}, year = {2009}, pages = {714-718}, month = {June}, organization = {IEEE}, owner = {ph}, timestamp = {2009.03.18}, url = {http://www.harremoes.dk/Peter/subm2009f.pdf} } @INCOLLECTION{Grunwald2004, author = {P. D. Gr{\"u}nwald}, title = {A Tutorial Introduction to the Minimum Description Length Principle}, booktitle = {Advances in {M}inimum {D}escription {L}ength: Theory and Applications}, publisher = {MIT Press}, year = {2004}, editor = {Gr{\"u}nwald, Myung and Pitt}, address = {Bosten}, note = {to appear} } @ARTICLE{Grunwald2004a, author = {P. D. Gr{\"u}nwald and A. P. Dawid}, title = {Game Theory, Maximum Entropy, Minimum Discrepancy, and Robust {B}ayesian Decision Theory}, journal = {{A}nnals of {M}athematical {S}tatistics}, year = {2004}, volume = {32}, pages = {1367-1433}, number = {4} } @ARTICLE{Grunwald2003, author = {Peter D. Gr{\"u}nwald and Joseph Y. Halpern}, title = {Updating Probabilities}, journal = {J. Artifical Intelligence Research}, year = {2003}, volume = {19}, pages = {243-278}, owner = {ph}, timestamp = {2007.02.03} } @BOOK{Gudder1979, title = {Stochastic Methods in Quantum Mechanics}, publisher = {Elsevier North-Holland}, year = {1979}, author = {S. P. 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Hamza}, title = {The smallest uniform upper bound on the distance between the mean and the median of the binomial and {P}oisson distributions}, journal = {Statistics and Probability Letters}, year = {1995}, volume = {23}, pages = {21-25}, owner = {Peter Harremoes}, timestamp = {2012.01.21} } @ARTICLE{Han1995, author = {Te Sun Han and Amari, S.}, title = {Parameter estimation with multiterminal data compression}, journal = {Information Theory, IEEE Transactions on}, year = {1995}, volume = {41}, pages = {1802--1833}, number = {6}, month = {Nov.}, doi = {10.1109/18.476308}, owner = {ph}, timestamp = {2007.02.18} } @BOOK{Hardy1959, title = {Inequalities}, publisher = {Cambridge University Press}, year = {1959}, author = {G. H. Hardy and J. E. Littlewood and G. P{\'o}lya}, address = {Cambridge}, edition = {second edition} } @BOOK{Hardy1915, title = {The general Theory of {D}irichlet's series}, publisher = {Cambridge Univ. Press}, year = {1915}, author = {G. H. Hardy and M. Riesz}, address = {London} } @INPROCEEDINGS{Harremoes2007g, author = {P. Harremo{\"e}s}, title = {Projections Maximizing {T}sallis Entropy}, booktitle = {Complexity, Metastability, and Nonextensivity: An Interactive Conference,Catania, Italy, 1-5 July 2007}, year = {2007}, editor = {A. Rapisarda et al.}, volume = {965}, series = {Mathematical and Statistical Physics}, pages = {90-95}, month = {Dec.}, publisher = {American Institute of Physics}, owner = {ph}, refereed = {yes}, theme = {INS4}, timestamp = {2007.09.21}, url = {http://proceedings.aip.org/proceedings/confproceed/965.jsp} } @INCOLLECTION{Harremoes2006b, author = {Peter Harremo{\"e}s}, title = {Lower Bounds for Divergence in the Central Limit Theorem}, booktitle = {General Theory of Information Transfer and Combinatorics}, publisher = {Springer-Verlag}, year = {2006}, editor = {R. Ahlswede and L. B{\"a}umer and N. Cai and H. K. Aydinian and V. Blinovskyand C. Deppe and H. Mashurian}, volume = {4123}, series = {Lecture Notes in Computer Science}, pages = {578-594}, address = {Berlin Heidelberg}, owner = {ph}, timestamp = {2007.01.16}, url = {http://www.harremoes.dk/Peter/ratesub.pdf} } @INPROCEEDINGS{Harremoes2009c, author = {Peter Harremo{\"e}s}, title = {Dutch Books and Combinatorial Games}, booktitle = {Proceedingsof the Sixth International Symposium on Imprecise Probability: Theory and Applications}, year = {2009}, editor = {T. Augustin and F. Coolen and S. Moral and M. Troffaes}, pages = {229-238}, address = {Durham, United Kingdom}, month = {July}, organization = {SIPTA}, file = {:http\://www.harremoes.dk/Peter/GameISIPTA2009b.pdf:PDF}, owner = {ph}, timestamp = {2009.03.18}, url = {http://arxiv.org/abs/0903.5429} } @INCOLLECTION{Harremoes2007e, author = {P. Harremo{\"e}s}, title = {Information Topologies with Applications}, 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}, volume = {16}, series = {Bolyai Society Mathematical Studies}, pages = {113-150}, organization = {Bolyai Society}, refereed = {yes}, theme = {INS4}, url = {http://www.harremoes.dk/Peter/inftopfi.pdf} } @INCOLLECTION{Harremoes2001b, author = {P. Harremo{\"e}s}, title = {Epic p{\aa} {G}randes {J}orrasses}, 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} } @UNPUBLISHED{Harremoes2011b, author = {P. Harremo{\"e}s}, title = {Probability and Information - {O}ccam's Razor in Action}, note = {In preparation}, year = {2011}, refereed = {no}, theme = {INS4} } @UNPUBLISHED{Harremoes2011e, author = {P. Harremo{\"e}s}, title = {Is Zero a Natural Number?}, month = {Feb.}, year = {2011}, owner = {Peter Harremoes}, timestamp = {2011.02.02}, url = {http://arxiv.org/abs/1102.0418} } @INPROCEEDINGS{Harremoes2011g, author = {Peter Harremo{\"e}s}, title = {Functional Dependences and {B}ayesian Networks}, booktitle = {Proceedings WITMSE 2011}, year = {2011}, address = {Helsinki}, note = {To appear}, owner = {Peter Harremoes}, timestamp = {2011.08.27}, url = {http://www.harremoes.dk/Peter/FunctionalWITSME.pdf} } @INPROCEEDINGS{Harremoes2010b, author = {P. Harremo{\"e}s}, title = {Information Theory for Angular Data}, booktitle = {Proceedings Information Theory Workshop, Cairo}, year = {2010}, pages = {181-185}, month = {Jan.}, organization = {IEEE}, owner = {ph}, timestamp = {2008.06.25}, url = {www.harremoes.dk/Peter/1569245443.pdf} } @INPROCEEDINGS{Harremoes2008g, author = {P. Harremo{\"e}s}, title = {Testing Goodness-of-fit via Rate Distortion}, booktitle = {Information Theory Workshop, Volos, Greece, 2009}, year = {2009}, pages = {17-21}, organization = {IEEE}, 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, author = {P. Harremo{\"e}s}, title = {Entropy - New {E}ditor-in-{C}hief and Outlook}, journal = {Entropy}, year = {2009}, volume = {11}, pages = {1-3}, number = {11}, doi = {10.3390/e11010001}, owner = {ph}, timestamp = {2009.01.06}, url = {http://www.mdpi.com/1099-4300/11/1/1} } @ARTICLE{Harremoes2009d, author = {P. Harremo{\"e}s}, title = {Maximum Entropy on Compact groups}, journal = {Entropy}, year = {2009}, volume = {11}, pages = {222--237}, number = {2}, 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, author = {Peter Harremo{\"e}s}, title = {Joint Range of {R}{\'e}nyi Entropies}, journal = {Kybernetika}, year = {2009}, volume = {45}, pages = {901-911}, number = {6}, month = {Dec.}, owner = {ph}, timestamp = {2009.04.16}, url = {http://arxiv.org/abs/0904.2477} } @ARTICLE{Harremoes2008b, author = {P. Harremo{\"e}s}, title = {Some New Maximal Inequalities}, journal = {Stat. Probab. Letters}, year = {2008}, volume = {78}, pages = {2776-2780}, number = {16}, month = {Nov.}, 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, author = {P. Harremo{\"e}s}, title = {Maximum Entropy on Compact Groups}, booktitle = {Proceedings of Interntational Symposium on Information Theory}, year = {2006}, pages = {108-112}, address = {Seattle, USA}, month = {9-14. July}, organization = {IEEE}, owner = {ph}, timestamp = {2007.01.16}, url = {http://www.harremoes.dk/Peter/compgro.pdf} } @INPROCEEDINGS{Harremoes2006c, author = {P. Harremo{\"e}s}, title = {Thinning and the Law of Small Numbers}, booktitle = {Proceedings Prague Stochastics}, year = {2006}, pages = {388-395}, address = {Prague}, month = {August}, owner = {ph}, timestamp = {2007.01.16}, url = {http://www.harremoes.dk/Peter/ThinPrague.pdf} } @ARTICLE{Harremoes2006d, author = {P. Harremo{\"e}s}, title = {Interpretations of {R}{\'e}nyi Entropies and Divergences}, journal = {Physica A: Statistical Mechanics and its Applications}, year = {2006}, volume = {365}, pages = {57-62}, number = {1}, month = {June}, url = {http://arxiv.org/abs/math-ph/0510002} } @INPROCEEDINGS{Harremoes2006e, author = {Peter Harremo{\"e}s}, title = {Directed Information and Conditional Mutual Information}, 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, author = {P. Harremo{\"e}s}, title = {Maximum Entropy and the {E}dgeworth Expansion}, booktitle = {Proceedings Information Theory Workshop}, year = {2005}, pages = {68-71}, address = {Roturoa, New Zealand}, month = {28. Aug. - 1. Sept.}, organization = {IEEE}, owner = {ph}, timestamp = {2007.01.16}, url = {http://www.harremoes.dk/Peter/RateNew.pdf} } @INPROCEEDINGS{Harremoes2005b, author = {P. Harremo{\"e}s}, title = {Martingales and Information Divergence}, booktitle = {Proceedings of 2005 {IEEE} International Symposium on Information Theory}, year = {2005}, pages = {164-168}, address = {Adelaide, Australia}, month = {Sept.}, organization = {IEEE}, owner = {ph}, timestamp = {2007.01.16}, url = {http://www.harremoes.dk/Peter/martingale.pdf} } @ARTICLE{Harremoes2005c, author = {P. Harremo{\"e}s}, title = {Lower Bounds on Divergence in Central Limit Theorem}, journal = {Electronic Notes in Discrete Mathematics}, year = {2005}, volume = {21}, pages = {309-313}, month = {Aug.}, url = {http://www.harremoes.dk/Peter/ENDMclt.pdf} } @INPROCEEDINGS{Harremoes2004a, author = {P. Harremo{\"e}s}, title = {The Weak Information Projection}, booktitle = {Proceedings 2004 {IEEE} International Symposium on Information Theory}, year = {2004}, pages = {28}, address = {Chicago}, month = {June-July}, organization = {IEEE}, url = {http://www.harremoes.dk/Peter/harremoes.pdf} } @INPROCEEDINGS{Harremoes2004b, author = {P. Harremo{\"e}s}, title = {A New Look on Majorization}, booktitle = {Proceedings {ISITA} 2004}, year = {2004}, pages = {1422-1425}, address = {Parma, Italy}, month = {Oct.}, url = {http://www.harremoes.dk/Peter/majoriza.pdf} } @TECHREPORT{Harremoes2003, author = {P. Harremo{\"e}s}, title = {Convergence to the {P}oisson Distribution in Information Divergence}, institution = {Mathematical department, University of Copenhagen}, year = {2003}, type = {Preprint}, number = {2}, month = {Feb.}, series = {Preprint series}, url = {http://www.harremoes.dk/Peter/poisprep.pdf} } @INPROCEEDINGS{Harremoes2003a, author = {P. Harremo{\"e}s}, title = {Lower bound on rate of convergence in information theoretic Central LimitTheorem}, booktitle = {Book of Abstracts for the Seventh International Symposium on OrthogonalPolynomials,Special functions and Applications}, year = {2003}, pages = {53-54}, address = {Copenhagen}, month = {18-22. August}, url = {http://www.harremoes.dk/Peter/ortogonal.pdf} } @INPROCEEDINGS{Harremoes2002a, author = {P. Harremo{\"e}s}, title = {Topologies associated with Information Divergence}, booktitle = {Book of {A}bstracts, $24^{th}$ {E}uropean {M}eeting of {S}tatisticians}, year = {2002}, pages = {216}, address = {Prague}, month = {August}, url = {http://www.harremoes.dk/Peter/prag.pdf} } @UNPUBLISHED{Harremoes2002b, author = {P. Harremo{\"e}s}, title = {An Interpretation of Squared Skewness minus Excess Kurtosis}, note = {Unpublished}, month = {Oct.}, year = {2002} } @INPROCEEDINGS{Harremoes2002c, author = {P. Harremo{\"e}s}, title = {The Information Topology}, booktitle = {Proceedings {IEEE} International Symposium on Information Theory}, year = {2002}, pages = {431}, address = {Lausanne}, month = {June}, organization = {IEEE}, url = {http://www.harremoes.dk/Peter/isit70.pdf} } @ARTICLE{Harremoes2001, author = {P. Harremo{\"e}s}, title = {Tilbageregning og typeteori}, journal = {LMFK-bladet}, year = {2001}, volume = {23}, number = {8}, month = {August}, owner = {ph}, timestamp = {2007.01.16}, url = {http://www.harremoes.dk/Peter/typeteo.pdf} } @ARTICLE{Harremoes2001a, author = {P. Harremo{\"e}s}, title = {Talpar med given afstand i {E}ulers restm{\ae}ngder}, journal = {LMFK-bladet}, year = {2001}, volume = {23}, number = {8}, month = {August}, owner = {ph}, timestamp = {2007.01.16}, url = {http://www.harremoes.dk/Peter/Talpar.doc} } @ARTICLE{Harremoes2001c, author = {P. Harremo{\"e}s}, title = {Binomial and {P}oisson Distributions as Maximum Entropy Distributions}, journal = {IEEE Trans. Inform. Theory}, year = {2001}, volume = {47}, pages = {2039-2041}, number = {5}, month = {July}, url = {http://www.harremoes.dk/Peter/poisson.pdf} } @INPROCEEDINGS{Harremoes2001e, author = {P. Harremo{\"e}s}, title = {Poisson's Law and Information Theory}, booktitle = {Proceedings 2001 {IEEE} International Symposium on Information Theory}, year = {2001}, pages = {46}, address = {Washington}, month = {June}, organization = {IEEE}, url = {http://www.harremoes.dk/Peter/381.pdf} } @INPROCEEDINGS{Harremoes2001f, author = {P. Harremo{\"e}s}, title = {Convergence to {P}oisson Distribution}, booktitle = {Proceedings of conference in Computer Science and Information Technologies}, year = {2001}, pages = {224-228}, address = {Yerevan, Armenia}, month = {September}, url = {http://www.harremoes.dk/Peter/csit.pdf} } @ARTICLE{Harremoes2000, author = {P. Harremo{\"e}s}, title = {Talnotation}, journal = {LMFK-bladet}, year = {2000}, volume = {22}, number = {5}, month = {May}, owner = {ph}, timestamp = {2007.01.16}, url = {http://www.harremoes.dk/Peter/talnot.pdf} } @BOOK{Harremoes1997a, title = {Instrukt{\o}rens H{\aa}ndbog}, publisher = {Dansk Bjergklub og Dansk Sportsklatreforbund}, year = {1997}, author = {Peter Harremo{\"e}s}, address = {K{\o}benhavn}, isbn = {87-985058-5-8}, owner = {ph}, timestamp = {2007.01.16} } @BOOK{Harremoes1995, title = {Klatring p{\aa} Kullen}, publisher = {Dansk Bjergklub}, year = {1995}, author = {P. Harremo{\"e}s}, address = {K{\o}benhavn}, isbn = {87-5058-0-7}, owner = {ph}, timestamp = {2007.01.16} } @BOOK{Harremoes1993, title = {Time and Conditional Independence}, publisher = {IMFUFA Roskilde University}, year = {1993}, author = {P. Harremo{\"e}s}, volume = {255}, series = {IMFUFA-tekst}, note = {Original in Danish entitled Tid og Betinget Uafh{\ae}ngighed. English translationpartially available}, school = {Roskilde University}, type = {Ph.D. Thesis} } @MASTERSTHESIS{Harremoes1989, author = {P. Harremo{\"e}s}, title = {Minimumdiscriminationinformationsprincippet}, school = {Math. Dept.}, year = {1989}, address = {Univ. Copenhagen}, month = {Jan.} } @BOOK{Harremoes1997, title = {Klatrev{\ae}gsklatring}, publisher = {Dansk Bjergklub og Dansk Sportsklatreforbund}, year = {1997}, author = {P. Harremo{\"e}s and O. Bruds{\o}e}, address = {K{\o}benhavn}, edition = {2nd edition}, isbn = {87-985058-6-6}, owner = {ph}, timestamp = {2007.01.16} } @BOOK{Harremoes1996, title = {Klatrev{\ae}gsklatring}, publisher = {Dansk Bjergklub og Dansk Sportsklatreforbund}, year = {1996}, author = {P. Harremo{\"e}s and O. Bruds{\o}e}, address = {K{\o}benhavn}, edition = {1st edition}, owner = {ph}, timestamp = {2007.01.16} } @BOOK{Harremoes1995a, title = {Klippeklatring}, publisher = {Dansk Bjergklub}, year = {1995}, author = {P. Harremo{\"e}s and O. Bruds{\o}e}, address = {K{\o}benhavn}, edition = {1st edition}, isbn = {87-985058-2-3}, owner = {ph}, timestamp = {2007.01.16} } @ARTICLE{Harremoes2009, author = {P. Harremo{\"e}s and K. K. Holst}, title = {Convergence of {M}arkov Chains in Information Divergence}, journal = {Journal of Theoretical Probability}, year = {2009}, volume = {22}, pages = {186-202}, 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}, publisher = {Dansk Bjergklub}, year = {2000}, author = {P. Harremo{\"e}s and T. Johansen}, address = {K{\o}benhavn}, edition = {2nd edition}, note = {ISBN 87-987696-2-6}, owner = {ph}, timestamp = {2007.01.16} } @ARTICLE{Harremoes2010c, author = {P. Harremo{\"e}s and O. Johnson and I. Kontoyiannis}, title = {Thinning, Entropy and the Law of Thin Numbers}, journal = {IEEE Trans. Inform Theory}, year = {2010}, volume = {56}, pages = {4228 - 4244}, number = {9}, month = {Sept.}, 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 = {International Symposium on Information Theory}, year = {2008}, pages = {2644-2648}, month = {July}, organization = {IEEE}, owner = {ph}, timestamp = {2008.04.01}, url = {www.harremoes.dk/Peter/ThinISIT08final.pdf} } @INPROCEEDINGS{Harremoes2007b, author = {P. Harremo{\"e}s and O. Johnson and I. Kontoyiannis}, title = {Thinning and the Law of Small Numbers}, booktitle = {Proceedings International Symposium on Information Theory 2007, Nice}, year = {2007}, pages = {1491-1495}, month = {June}, organization = {IEEE Information Theory Society}, owner = {ph}, refereed = {yes}, theme = {INS4}, timestamp = {2007.01.16}, url = {www.harremoes.dk/Peter/Isit2thin.pdf} } @ARTICLE{Harremoes2004, author = {P. Harremo{\"e}s and P. Ruzankin}, title = {Rate of Convergence to {P}oisson Law in Terms of Information Divergence}, journal = {IEEE Trans. Inform Theory}, year = {2004}, volume = {50}, pages = {2145-2149}, number = {9}, month = {Sept.}, 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 = {Proceedings ISIT 2007, Nice}, year = {2007}, pages = {566-571}, month = {June}, organization = {IEEE Information Theory Society}, owner = {ph}, refereed = {yes}, theme = {INS4}, timestamp = {2007.01.16}, url = {www.harremoes.dk/Peter/flaske2.pdf} } @ARTICLE{Harremoes2001g, author = {P. Harremo{\"e}s and F. Tops{\o }e}, title = {Maximum Entropy Fundamentals}, journal = {Entropy}, year = {2001}, volume = {3}, pages = {191-226}, number = {3}, month = {Sept.}, url = {http://www.unibas.ch/mdpi/entropy/papers/e3030191.pdf} } @INCOLLECTION{Harremoe2007, author = {P. Harremo{\"e}s and F. Tops{\o}e}, title = {The Quantitative Theory of Information}, booktitle = {Handbook of Philosophy of Information}, publisher = {Elsivier}, year = {2008}, editor = {J. {van Benthem} and P. Adriaans}, volume = {8}, series = {Handbook of the Philosophy of Science}, chapter = {Part C}, pages = {171-216}, 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, author = {P. Harremo{\"e}s and F. Tops{\o}e}, title = {Zipf's law, hyperbolic distributions and entropy loss}, journal = {Electronic Notes in Discrete Mathematics}, year = {2005}, volume = {21}, pages = {315-318}, month = {Aug.}, url = {http://www1.elsevier.com/gej-ng/31/29/24/show/Products/notes/contents.htt} } @INPROCEEDINGS{Harremoes2002, author = {P. Harremo{\"e}s and F. Tops{\o}e}, title = {Unified Approach to Optimisation Techniques in {S}hannon Theory}, booktitle = {Proceedings of the {IEEE} International Symposium on Information Theory}, year = {2002}, pages = {238}, address = {Lausanne}, month = {June}, organization = {IEEE}, owner = {ph}, timestamp = {2007.01.16}, url = {http://www.harremoes.dk/Peter/isit158.pdf} } @INPROCEEDINGS{Harremoes2002d, author = {P. Harremo{\"e}s and F. Tops{\o}e}, title = {Zipf's law, hyperbolic distributions and entropy loss}, booktitle = {Proceedings of the {IEEE} International Symposium on Information Theory}, year = {2002}, pages = {207}, address = {Lausanne}, month = {June}, organization = {IEEE}, url = {http://www.math.ku.dk/~topsoe/ISIT2002procZipf.pdf} } @INPROCEEDINGS{Harremoes2001d, author = {P. Harremo{\"e}s and F. Tops{\o}e}, title = {Information Diagrams: Entropy, Index of Coincidence and Probability of Error}, booktitle = {Proceedings {IEEE} International Symposium on Information Theory}, year = {2001}, pages = {43}, address = {Washington}, month = {June}, organization = {IEEE}, url = {http://www.math.ku.dk/~topsoe/ISIT2001.Diagrams.pdf} } @ARTICLE{Harremoes2001h, author = {P. Harremo{\"e}s and F. Tops{\o}e}, title = {Inequalities between Entropy and Index of Coincidence derived from Information Diagrams}, journal = {IEEE Trans. Inform. Theory}, year = {2001}, volume = {47}, pages = {2944-2960}, number = {7}, month = {Nov.}, 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 (ISIT'2012)}, year = {2012}, address = {Cambridge, Massachusetts, USA}, month = {July}, note = {Submitted}, 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.}, keywords = {Information divergence; chi squared distribution; chi squared statistic; G-transform.}, url = {http://arxiv.org/abs/1202.1125} } @ARTICLE{Harremoes2011a, author = {P. Harremo{\"e}s and I. Vajda}, title = {On Pairs of $f$-divergences and their Joint Range}, journal = {IEEE Tranns. Inform. Theory}, year = {2011}, volume = {57}, pages = {3220-3225}, number = {6}, month = {June}, owner = {Peter Harremoes}, timestamp = {2010.07.01}, url = {http://www.harremoes.dk/Peter/fdivieeetrans.pdf} } @UNPUBLISHED{Harremoes2011f, author = {P. Harremo{\"e}s and Igor Vajda}, title = {On {B}ahadur Efficiency of Power Divergence Statistics}, 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 = {Proceedings ISIT 2010}, year = {2010}, pages = {1340-1344}, month = {June}, organization = {IEEE}, owner = {ph}, timestamp = {2010.01.26}, url = {http://arxiv.org/abs/1001.4432} } @ARTICLE{Harremoes2008, author = {P. Harremo{\"e}s and I. Vajda}, title = {On the {B}ahadur-Efficient Testing of Uniformity by means of the Entropy}, journal = {IEEE Trans. Inform Theory}, year = {2008}, volume = {54}, pages = {321-331}, number = {1}, month = {Jan.}, 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}, address = {Praha}, month = {March}, owner = {ph}, review = {no}, timestamp = {2008.03.20}, url = {http://www.harremoes.dk/Peter/Consis.pdf} } @INPROCEEDINGS{Harremoes2008e, author = {Peter Harremo{\"e}s and I. Vajda}, title = {Efficiency of Entropy Testing}, booktitle = {International Symposium on Information Theory}, year = {2008}, pages = {2639-2643}, month = {July}, organization = {IEEE}, owner = {ph}, timestamp = {2008.04.01}, url = {www.harremoes.dk/Peter/BahadurISIT08final.pdf} } @INPROCEEDINGS{Harremoes2007, author = {P. Harremo{\"e}s and I. Vajda}, title = {Entropy Testing is Efficient}, booktitle = {Proceedings ISIT 2007, Nice}, year = {2007}, pages = {1841-1846}, month = {June}, organization = {IEEE Information Theory Society}, owner = {ph}, refereed = {yes}, theme = {INS4}, timestamp = {2007.01.16}, url = {www.harremoes.dk/Peter/BahadurISITnew1.pdf} } @UNPUBLISHED{Harremoes2011, author = {P. Harremo{\"e}s and C. Vignat}, title = {{R}{\'e}nyi Entropies of Marginal Distributions}, 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, author = {P. Harremo{\"e}s and C. Vignat}, title = {Lower bounds on Information Divergence}, year = {2011}, owner = {Peter Harremoes}, timestamp = {2011.02.20}, url = {http://arxiv.org/abs/1102.2536} } @INPROCEEDINGS{Harremoes2006a, author = {P. Harremo{\"e}s and C. Vignat}, title = {R{\'e}nyi Entropy of Projections}, booktitle = {Proceedings of 2006 {IEEE} International Symposium on Information Theory}, year = {2006}, pages = {1827-1830}, address = {Seattle, USA}, month = {9-14 July}, organization = {IEEE}, owner = {ph}, timestamp = {2007.01.16}, url = {http://www.harremoes.dk/Peter/alf2.pdf} } @ARTICLE{Harremoes2004c, author = {P. Harremo{\"e}s and C. Vignat}, title = {A {N}ash Equilibrium related to the {P}oisson Channel}, journal = {Communications in {I}nformation and {S}ystems}, year = {2004}, volume = {3}, pages = {183-190}, number = {3}, month = {March}, url = {http://www.harremoes.dk/Peter/game.pdf} } @UNPUBLISHED{Harremoes2004d, author = {P. Harremo{\"e}s and C. Vignat}, title = {A short information theoretic proof of {CLT}}, note = {In preparation}, year = {2004} } @ARTICLE{Harremoes2003b, author = {P. Harremo{\"e}s and C. Vignat}, title = {An Entropy Power Inequality for the Binomial Family}, journal = {J. Ineq. Pure and Appl. Math.}, year = {2003}, volume = {4}, pages = {Article 93}, number = {5}, url = {http://www.harremoes.dk/Peter/epi.pdf} } @UNPUBLISHED{Harremes2009, author = {P. Harrem{\"e}s and F. Tops{\o}e}, title = {Instances of Exact Optimal Prediction}, note = {In preparation}, year = {2009} } @BOOK{Hartigan1983, title = {Bayes Theory}, publisher = {Springer}, year = {1983}, author = {J. A. Hartigan}, address = {New York} } @MISC{Hartl2010, author = {M. Hartl}, title = {The Tau Manifesto}, howpublished = {Website}, month = {June 28}, year = {2010}, owner = {Peter Harremoes}, timestamp = {2011.01.18}, url = {http://www.tauday.com} } @ARTICLE{Hastings1970, author = {W. K. Hastings}, title = {Monte {C}arlo Sampling Methods Using {M}arkov Chains and Their Applications}, journal = {Biometrika}, year = {1970}, volume = {57}, pages = {97-109}, number = {1}, owner = {ph}, timestamp = {2007.09.11} } @ARTICLE{Haussler1997, author = {D. Haussler}, title = {A general Minimax Result for Relative Entropy}, journal = {IEEE Trans. Inform. Theory}, year = {1997}, volume = {43}, pages = {1276-1280} } @ARTICLE{Haussler1997a, author = {David Haussler and Manfred Opper}, title = {Mutual Information, Metric Entropy and Cumulative Relative Entropy Risk}, journal = {The Annals of Statistics}, year = {1997}, volume = {25}, pages = {2451--2492}, number = {6}, owner = {Peter Harremoes}, timestamp = {2010.09.11} } @ARTICLE{Havrda1967, author = {J. Havrda and F. Charv{\'a}t}, title = {Quantification method of classification processes. {C}oncept of structural$a$-entropy}, journal = {Kybernetika}, year = {1967}, volume = {3}, pages = {30-35}, note = {{R}eview by I. Csisz{\'a}r in {M}{R}, vol. 34, no.8875} } @ARTICLE{Heegaard1983, author = {C. Heegaard and A. El Gamal}, title = {On the Capasity of computer memories with defects}, journal = {IEEE Trans. Inform. Theory}, year = {1983}, volume = {IT-29}, pages = {731-739}, month = {Sept.} } @ARTICLE{Heisenberg1927, author = {W. Heisenberg}, title = {The Physical Principles of Quantum Theory}, journal = {Z. Phys. Lett. B}, year = {1927}, volume = {43}, pages = {172}, note = {(Dover, New York, 1949)}, owner = {ph}, timestamp = {2008.02.27} } @ARTICLE{Hellman1970, author = {M. E. Hellman}, title = {Probability of Error, Equivocation, and the {C}hernoff Bound}, journal = {IEEE Trans. Inform. Theory}, year = {1970}, volume = {16}, pages = {368-372} } @BOOK{Henrici1988, title = {Applied and Computational Complex Analysis, vol. 1}, publisher = {Wiley}, year = {1988}, author = {P. Henrici}, address = {New York} } @ARTICLE{Hentschel1983, author = {H. G. E. Hentschel and I. Procaccia}, title = {The infinite number of generalized dimensions of fractals and strange attractor}, journal = {Physica D}, year = {1983}, volume = {8}, pages = {435--444}, format = {print}, keywords = {Fractals, Nonlinear phenomena, Strange attractors}, refdb_id = {http://solarphysics.livingreviews.org/refdb/record/8609} } @TECHREPORT{Hero2003, author = {A. O. Hero and B. Ma and O. Michel and J. D. Gorman}, title = {Alpha-Divergence for Classification, Indexing and Retrieval (Revised)}, institution = {Communications and Signal Processing Laboratory, The University of Michigan}, year = {2003}, number = {CSPL-334}, owner = {Peter Harremoes}, timestamp = {2010.09.11} } @ARTICLE{Hiai1981, author = {F. Hiai and M. Ohya and M. Tsukada}, title = {Sufficiency, {KMS} conditions and relative Entropy in von {N}eumann Algebras}, journal = {Pacific Journal of Mathematics}, year = {1981}, volume = {96}, pages = {99 - 109}, number = {1} } @BOOK{Hinckley1974, title = {Theoretical Statistics}, publisher = {Chapman and Hall}, year = {1974}, author = {D. Coxand D. Hinckley}, address = {London} } @ARTICLE{Hirschman1957, author = {I. I. {Hirschman, Jr.}}, title = {A Note on Entropy}, journal = {Amer. J. Math.}, year = {1957}, volume = {79}, pages = {152-156}, owner = {ph}, timestamp = {2008.02.28} } @ARTICLE{Hoeffding1965, author = {W. Hoeffding}, title = {Asymptotically optimal tests for multinomial distributions}, journal = {Annals Math. Statist.}, year = {1965}, volume = {36}, pages = {369-400} } @ARTICLE{Hoeffding1956, author = {W. Hoeffding}, title = {On the distribution of the number of successes in independent trials}, journal = {Ann. Math. Statist.}, year = {1956}, volume = {27}, pages = {713-721} } @BOOK{Holevo1982, title = {Probabilistic and Statistical Aspects of Quantum Theory}, publisher = {North-Holland}, year = {1982}, editor = {P. R. Krishnaiah and C. R. Rao and M. Rosenblatt and Y. A. Rozanov}, author = {A. S. Holevo}, volume = {1}, series = {North-Holland Series in Statistics and Probability}, address = {Amsterdam} } @BOOK{Holevo2002, title = {An introduction to quantum information theory}, publisher = {MCCME (Publishing House of Moscow Independent University)}, year = {2002}, author = {A. S. Holevo}, address = {Moscow} } @BOOK{Holevo2001, title = {Statistical Structure of Quantum Theory}, publisher = {Springer}, year = {2001}, author = {A. S. Holevo}, address = {Berlin} } @ARTICLE{Holevo2000, author = {A. S. Holevo}, title = {Reliability Function of General Classical Quantum Channel}, journal = {IEEE Trans. Inform. Theory}, year = {2000}, volume = {46}, pages = {22562261}, number = {6}, note = {arXiv:quant-ph/9907087 v2} } @ARTICLE{Holst1972, author = {L. Holst}, title = {Asymptotic normality and efficiency for certain goodness-of-fit tests}, journal = {Biometrika}, year = {1972}, volume = {59}, pages = {138-145} } @BOOK{Horwich1987, title = {Asymmetries in Time}, publisher = {MIT Press}, year = {1987}, author = {P. Horwich}, address = {Cambridge} } @TECHREPORT{Howard1981, author = {R. A. Howard and J. E. Mateson}, title = {Influence Diagrams. Its Principles and Applications of Desion Analysis}, institution = {Strategic Decision Group}, year = {1981}, address = {Menlo Park, Califonia} } @BOOK{Hoyle1962, title = {Astronomy. A history of man's investigation of the universe}, publisher = {Crescent Books, Inc}, year = {1962}, author = {F. Hoyle}, address = {London}, owner = {Peter Harremoes}, timestamp = {2011.01.24} } @INPROCEEDINGS{Huffman1952, author = {D. A. Huffman}, title = {A method for the construction of minimum redundancy codes}, booktitle = {Proc. IRE 40}, year = {1952}, pages = {1098-1101} } @INPROCEEDINGS{Hunt1967, author = {R. A. Hunt}, title = {On the convergence of {F}ourier series Orthogonal Expansions and their continuousAnalogs}, booktitle = {Proc. Conf., Edwardsville,}, year = {1967}, address = {Carbondale, III}, publisher = {Southern Illinois Univ. Press}, owner = {ph}, timestamp = {2008.01.07} } @BOOK{Hormander1994, title = {Notions of Convexity}, publisher = {Birkh{\"a}user}, year = {1994}, author = {L. H{\"o}rmander}, address = {Boston} } @ARTICLE{Hajek1958, author = {Jaroslav H{\'a}jek}, title = {On a Property of Normal Distributions of any Stochastic Process}, journal = {Czechoslovak Mathematical Journal}, year = {1958}, volume = {8}, pages = {610--618}, number = {4}, note = {In Russian with English summary.} } @ARTICLE{Hajek1958a, author = {J. H{\'a}jek}, title = {A property of {J}-divergence of marginal probability distributions}, journal = {Czechoslovak Math. J.}, year = {1958}, volume = {8}, pages = {460-463} } @BOOK{Ibragimov1971, title = {Independent and Stationary Sequences of Random Variables}, publisher = {Wolters-Noordhoff}, year = {1971}, author = {I. A. Ibragimov and Yu. V. Linnik}, address = {Gr{\"o}ningen} } @ARTICLE{Ingarden1962, author = {R. S. Ingarden and K. Urbanik}, title = {Quantum Informational Thermodynamics}, journal = {Acta Physica Polonica}, year = {1962}, volume = {21}, pages = {281-304} } @ARTICLE{Inglot1990, author = {T. Inglot and T. Jurlewicz and T. Ledwina}, title = {Asymptotics for multinomial goodness of fit tests for simple hypothesis.35,}, journal = {Th. of Probab. and Appl.}, year = {1990}, volume = {35}, pages = {797-803} } @ARTICLE{Ireland1968, author = {C. Ireland and S. Kullback}, title = {Contingency tables with given marginals}, journal = {Biometrica}, year = {1968}, volume = {55}, pages = {179-188} } @ARTICLE{Ishwar2005, author = {P. Ishwar and P. Moulin}, title = {On the Existence and Characterization of the Maxent Distribution under MomentInequalityConstraints}, journal = {IEEE Trans. Inform. Theory}, year = {2005}, volume = {51}, pages = {3322-3333} } @ARTICLE{Ivchenko1978, author = {G. I. Ivchenko and Y. I. Medvedev}, title = {Separable statistics and hypotheses testing. The case of small samples.}, journal = {Th. of Probab. and Appl.}, year = {1978}, volume = {23}, pages = {764-775} } @BOOK{Jacobs1999, title = {Categorical Logic and Type Theory}, publisher = {North Holland}, year = {1999}, author = {B. Jacobs}, number = {141}, series = {Studies in Logic and the Foundations of Mathematics}, address = {Amsterdam} } @ARTICLE{Jaffe1993, author = {A. Jaffe and F. Quinn}, title = {Theoretical mathematics: toward a cultural synthesis of mathematics andtheoreticalphysics}, journal = {Bull. Amer. Math. Soc. (N.S.)}, year = {1993}, volume = {29}, pages = {1-13} } @ARTICLE{Jain1971, author = {G. C. Jain and P. C. Consul}, title = {A Generalized Negative Binomial Distribution}, journal = {SIAM Journal on Applied Mathematics}, year = {1971}, volume = {21}, pages = {501--513}, number = {4}, 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, author = {E. T. Jaynes}, title = {Clearing up mysteries -- The original goal}, booktitle = {Maximum Entropy and {B}ayesian Methods}, publisher = {Kluwer}, year = {1989}, editor = {J. Skilling}, address = {Dordrecht} } @MISC{Jaynesweb, author = {E. T. Jaynes}, title = {Probability Theory As Extended Logic}, howpublished = {Webpage maintained by L. Bretthorst, dedicated to Jaynes' work}, url = {http://bayes.wustl.edu} } @BOOK{Jaynes2003, title = {Probability Theory - The Logic of Science}, publisher = {Cambridge University Press}, year = {2003}, author = {E. T. Jaynes}, address = {Cambridge} } @ARTICLE{Jaynes1957, author = {E. T. Jaynes}, title = {Information Theory and Statistical Mechanics, {I} and {II}}, journal = {Physical Reviews}, year = {1957}, volume = {106 and 108}, pages = {620-630 and 171-190} } @INPROCEEDINGS{Jeffreys1946, author = {H. Jeffreys}, title = {An invariant form for the prior probability in extimation problems}, booktitle = {Proceedings of the Royal Statistical Society}, year = {1946}, volume = {186}, series = {Series A}, pages = {453-461}, address = {London}, owner = {ph}, timestamp = {2009.09.10} } @ARTICLE{Jensen1985, author = {M. H. Jensen and L. P. Kadanoff and A. Libchaber and I. Procaccia and J.Stavans}, title = {Global Universality at the Onset of Chaos: Results of a Forced {R}ayleigh-{B{\'e}}nardExperiment}, journal = {Phys. Rev. Lett.}, year = {1985}, volume = {55}, pages = {2798-2801}, owner = {ph}, timestamp = {2008.02.27} } @BOOK{Jessop1995, title = {Informed Assessments, an Introduction to Information, Entropy and Statistics}, publisher = {Ellis Horwood}, year = {1995}, author = {A. Jessop}, address = {New York} } @ARTICLE{Jizba2004, author = {P. Jizba and T. Arimitsu}, title = {The world according to {R{\'e}}nyi: thermodynamics of multifractal systems}, journal = {Ann. Phys.}, year = {2004}, volume = {312}, pages = {17-59}, number = {1}, month = {July}, owner = {ph}, timestamp = {2008.02.27} } @INPROCEEDINGS{Jizba2008, author = {P. Jizba and P. Harremo{\"e}s}, title = {On the role of information theoretic uncertainty relations in quantum physics}, booktitle = {International Conference in Statistical Physics, Abstract and Author Index}, year = {2008}, editor = {G. Kaniadakis and A. M. Scarfone}, pages = {52}, month = {July}, owner = {ph}, timestamp = {2008.08.05} } @ARTICLE{Joe1987, author = {H. Joe}, title = {Majorization, Randomness and Dependence for Multivariate Distributions}, journal = {The Annals of Probability}, year = {1987}, volume = {15}, pages = {1217-1225}, number = {3}, month = {July}, owner = {Peter Harremoes}, timestamp = {2010.04.16}, url = {http://www.jstor.org/stable/2244051} } @ARTICLE{Jogdeo1968, author = {Kumar Jogdeo and S. M. Samuels}, title = {Monotone Convergence of Binomial Probabilities and a Generalization of Ramanujan's Equation}, journal = {Ann. Math. Statist.}, year = {1968}, volume = {39}, pages = {1191-1195}, number = {4}, owner = {Peter Harremoes}, timestamp = {2012.02.10} } @BOOK{Johansen1988, title = {Platons Filosofi. Udvikling Og Enhed}, publisher = {Nyt nordisk forlag Arnold Busck}, year = {1988}, author = {K. F. Johansen}, address = {K{\o}benhavn} } @BOOK{Johansen1979, title = {Introduction to the Theory of Regular Exponential Families}, publisher = {Inst. Math. Stat., Univ. of Copenhagen}, year = {1979}, author = {S. Johansen}, volume = {3}, series = {Lecture Notes} } @TECHREPORT{Johansen1979a, author = {S. Johansen}, title = {Introduction to the Theory of Regular Exponential Famelies}, institution = {Institute of mathematical Statistics, University of Copenhagen}, year = {1979}, type = {Lecture Notes}, number = {3} } @ARTICLE{Johnson2007a, author = {O. Johnson}, title = {Log-concavity and the maximum entropy property of the {P}oisson distribution}, journal = {Stochastic Processes and their Applications}, year = {2007}, volume = {117}, pages = {791-802}, number = {6}, doi = {10.1016/j.spa.2006.10.006}, owner = {ph}, timestamp = {2006.12.17} } @ARTICLE{Johnson2005, author = {O. Johnson}, title = {An information-theoretic Central Limit Theorem for finitely suspectible{FKG}systems}, journal = {Teoriya Veroyatnostei i ee Primeneniya}, year = {2005}, volume = {50}, pages = {331-343}, number = {2}, month = {Feb.}, note = {Also in Theory of Probability and Its Applications, Vol 50/2, 2006, pages214-224} } @ARTICLE{Johnson2004, author = {O. Johnson}, title = {A conditional Entropy Power Inequality for dependent variables}, journal = {IEEE Transactions on Information Theory}, year = {2004}, volume = {50}, pages = {1581-1583}, number = {8} } @BOOK{Johnson2004a, title = {Information Theory and Central Limit Theorem}, publisher = {Imperial Collage Press}, year = {2004}, author = {O. Johnson}, address = {London} } @ARTICLE{Johnson2003, author = {O. Johnson}, title = {Convergence of the Poincar{\'e} constant}, journal = {Teoriya Veroyatnostei i ee Primeneniya}, year = {2003}, volume = {48}, pages = {615-620}, number = {3}, month = {June}, note = {Also in Theory of Probability and Its Applications, Vol 48/3, 2004, pages535-541} } @ARTICLE{Johnson2003a, author = {O. Johnson}, title = {Entropy and a generalisation of {P}oincar{\'e}'s Observation}, journal = {Mathematical Proceeding of the Cambridge Philosophical Society}, year = {2003}, volume = {135}, pages = {375-384}, number = {2} } @ARTICLE{Johnson2004b, author = {O. Johnson and A. R. Barron}, title = {Fisher Information Inequalities and the Central Limit Theorem}, journal = {Probability Theory and Related Fields}, year = {2004}, volume = {129}, pages = {391-409}, number = {3}, month = {April} } @INPROCEEDINGS{Johnson2007b, author = {O. Johnson and M. Madiman and I. Kontoyiannis}, title = {Fisher information, compound {P}oisson approximation, and the {P}oisson channel}, booktitle = {Proceedings International Symposium on Information Theory 2007, Nice}, year = {2007}, pages = {976-980}, month = {June}, owner = {ph}, timestamp = {2008.01.07} } @ARTICLE{Johnson2005a, author = {O. Johnson and R. Samworth}, title = {Central Limit Theorem and convergence to stable laws in Mallows distance}, journal = {Bernoulli}, year = {2005}, volume = {11}, pages = {829-845}, number = {5}, owner = {ph}, timestamp = {2007.10.10} } @ARTICLE{Johnson2007, author = {O. Johnson and C. Vignat}, title = {Some results concerning maximum {R}{\'e}nyi entropy}, journal = {Annales de l'Institut Henri Poincar{\"i}��(B) Probability and Statistics}, year = {2007}, volume = {43}, pages = {339-351}, number = {3} } @ARTICLE{Johnson2000, author = {O. T. Johnson and Y. M. Suhov}, title = {Entropy and Convergence on Compact Groups}, journal = {J. Theoret. Probab.}, year = {2000}, volume = {13}, pages = {843-857}, number = {3}, owner = {ph}, timestamp = {2009.02.17} } @BOOK{Jones2000, title = {Game theory. {M}athematical models of conflict}, publisher = {Horwood Publishing}, year = {2000}, author = {A. J. Jones}, address = {Chichester} } @BOOK{Jones1980, title = {Continued Fractions - Analytic Theory and Applications}, publisher = {Addison-Wesley}, year = {1980}, author = {W. B. Jones and W. J. Thron}, volume = {11}, bookseries = {Encyclopedia of Mathematics and its Applications} } @ARTICLE{Joos1992, author = {E. Joos and A. Qadir}, title = {A Quantum Statistical upper Bound on Entropy}, journal = {Il Nuovo Cimento}, year = {1992}, volume = {107B}, pages = {563--572}, number = {5} } @BOOK{Jordan1947, title = {Calculus of Finite Differences}, publisher = {Chelsea}, year = {1947}, author = {C. Jordan}, address = {New York} } @BOOK{Jorgensen1997, title = {The Theory of Dispersion Models}, publisher = {Chapman \& Hall}, year = {1997}, author = {Bent J{\o}rgensen}, owner = {ph}, timestamp = {2009.01.06} } @BOOK{Jorsboe1982, title = {The {C}arleson-{H}unt Theorem on {F}ourier Series}, publisher = {Springer}, year = {1982}, author = {O. J{\o}rsboe and Leif Mejlbro}, owner = {ph}, timestamp = {2008.01.07} } @TECHREPORT{Jorsboe1983, author = {O. G. J{\o}rsboe}, title = {Entropy in the Binomial Distribution}, institution = {Danish Technical University}, year = {1983}, type = {Mat-report}, number = {123}, note = {in Danish} } @ARTICLE{Kabanov2002, author = {Yuri M. 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Comm.}, year = {1967}, volume = {15}, pages = {52-60}, owner = {ph}, timestamp = {2010.01.26} } @ARTICLE{Kakutani1948, author = {Shizuo Kakutani}, title = {On Equivalence of Infinite Product Measures}, journal = {The Annals of Mathematics}, year = {1948}, volume = {49}, pages = {214-224}, number = {1}, owner = {Peter Harremoes}, timestamp = {2010.09.11} } @BOOK{Kallenberg1997, title = {Foundations of Modern Probability}, publisher = {Springer}, year = {1997}, author = {Olav Kallenberg} } @ARTICLE{Kallenberg1985, author = {W. C. M. Kallenberg}, title = {On moderate and large deviations in multinomial distributions.}, journal = {Ann. Statist.}, year = {1985}, volume = {13}, pages = {1554--1580} } @ARTICLE{Kallenberg1985a, author = {W. C. M. Kallenberg and J. Oosterhof and B. F. Shriever}, title = {The number of classes in chi-squared goodness-of-fit tests.}, journal = {J. Amer. Statist. Assoc.}, year = {1985}, volume = {80}, pages = {959-968} } @INCOLLECTION{Kallianpur1960, author = {G. Kallianpur}, title = {On the Amount of Information Contained in a \sigma-Field}, booktitle = {Contributions to Probability and Statistics}, publisher = {Stanford}, year = {1960}, pages = {265-271} } @ARTICLE{Kambo1966, author = {N. S. Kambo and S. Kotz}, title = {On Exponential Bounds for Binomial Probabilities}, journal = {Ann. Inst. Statist. Math.}, year = {1966}, volume = {18}, pages = {277-287} } @ARTICLE{Kanamori2004, author = {T. Kanamori and N. Murata and T. Takenouchi and S. Eguchi}, title = {Information geometry of $u$-boost and {B}regman divergences}, journal = {Neural Computation}, year = {2004}, volume = {16}, pages = {1437-1481} } @ARTICLE{Kaniadakis2002, author = {G. Kaniadakis}, title = {Statistical mechanics in the context of special relativity}, journal = {Physical Review E}, year = {2002}, volume = {66}, pages = {056125,1-17} } @ARTICLE{Kaniadakis2001, author = {G. Kaniadakis}, title = {Non-linear kinetics underlying generalized statistics}, journal = {Physica A}, year = {2001}, volume = {296}, pages = {405-425} } @INPROCEEDINGS{Kaniadakis2004, author = {G. Kaniadakis and F. Tops{\o}e}, title = {Entropy measures of physics via complexity}, booktitle = {Proceedings 2004 International Symposium on Information Theory}, year = {2004}, pages = {40} } @ARTICLE{Kantorovich1958, author = {L.V. Kantorovich and G.Sh.Rubinstein}, title = {On the space of completely additive functions}, journal = {Vestnic Leningrad Univ., Ser. Mat. Mekh. i Astron.}, year = {1958}, volume = {13}, pages = {52-59}, number = {7}, note = {In Russian}, owner = {ph}, timestamp = {2007.01.18} } @BOOK{Kapur1993, title = {Maximum Entropy Models in Science and Engineering}, publisher = {Wiley}, year = {1993}, author = {J. N. Kapur}, address = {New York}, edition = {Revised} } @ARTICLE{Karamata1960, author = {J. 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Theory}, year = {1983}, volume = {29}, pages = {577-583} } @INPROCEEDINGS{Kazama2003, author = {J. Kazama and J. Tsujii}, title = {Evaluation and Extension of Maximum Entropy Models with Inequality Constraints}, booktitle = {Proceedings of the 2003 Conference on Empirical Methods in NLP}, year = {2003} } @UNPUBLISHED{Keane2000, author = {M. Keane}, title = {The Essence of the Law of Large Numbers}, note = {To appear}, month = {October}, year = {2000} } @UNPUBLISHED{Keane2005, author = {M. Keane and K. Petersen}, title = {Nearly simultaneous proofs of the Ergodic Theorem and the Maximal ErgodicTheorem}, note = {Unpublished}, month = {March}, year = {2005}, pages = {4 pages} } @ARTICLE{Kelly1956, author = {J. L. Kelly}, title = {A New Interpretation of Information Rate}, journal = {Bell System Technical Journal}, year = {1956}, volume = {35}, pages = {917-926} } @INCOLLECTION{Kelly2007, author = {Kevin T. Kelly}, title = {Learning, Simplicity, Truth, and Misinformation}, booktitle = {Handbook on the Philosophy of Information}, publisher = {Elsevier}, year = {2007}, editor = {Johan {van Benthem} and Pieter Adriaans}, volume = {8}, series = {Handbook of the Philosophy of Science}, chapter = {4a}, pages = {xxx-xxx}, month = {April}, note = {To appear}, owner = {ph}, timestamp = {2007.02.03} } @ARTICLE{Kemp1997, author = {A. W. Kemp}, title = {Characterizaation of a discrete normal distribution}, journal = {Journal of Statistical Planning and Inference}, year = {1997}, volume = {63}, pages = {223-229} } @ARTICLE{Kemperman1969, author = {J. H. B. Kemperman}, title = {On the Optimal rate of transmitting information}, journal = {Ann. Math. Statist}, year = {1969}, volume = {40}, pages = {2156 - 2177}, month = {Dec.} } @INBOOK{Kemperman1967, pages = {126-169}, title = {On the Optimum Rate of Transmitting Information}, publisher = {Springer-Verlag}, year = {1967}, author = {J. H. B. Kemperman}, series = {Lecture Notes in Mathematics}, booktitle = {Probability and Information Theory} } @ARTICLE{Kendall1963, author = {D. G. Kendall}, title = {Information Theory and the Limit Theorem for {M}arkov Chains and Processeswith a Countable Infinity of States}, journal = {Ann. Inst. Stat. Math.}, year = {1963}, volume = {15}, pages = {137-143} } @ARTICLE{Kennard1927, author = {E. H. Kennard}, title = {Zur {Q}uantenmechanik einfacher {B}ewegungstypen}, journal = {Z. Phys.}, year = {1927}, volume = {44}, pages = {326}, owner = {ph}, timestamp = {2008.02.27} } @BOOK{Kenny1979, title = {Correlation and Causality}, publisher = {Wiley}, year = {1979}, author = {D. A. Kenny}, address = {New York} } @ARTICLE{Kerridge1961, author = {D. F. Kerridge}, title = {Inaccuracy and inference}, journal = {J. Roy. Stat. Soc. B.}, year = {1961}, volume = {23}, pages = {184-194} } @ARTICLE{Kester1986, author = {A. D. M. Kester and W. C. M. Kallenberg}, title = {Large Deviations of Estimators}, journal = {The Annals of Statistics}, year = {1986}, volume = {14}, pages = {648--664}, number = {2}, 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, author = {A. I. Khinchine}, title = {Zu {B}irkhoffs {L}{\"o}sung des {E}rgodenproblems}, journal = {Math. Ann}, year = {1933}, volume = {107}, pages = {485-488} } @ARTICLE{Khokhlov2006, author = {V. I. Khokhlov}, title = {The Uniform Distribution on a Sphere in $\bf{R}^{S}$. 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Zuckerman}, title = {Interaction in Quantum Communication}, journal = {IEEE Transactions on Information Theory}, year = {2007}, volume = {53}, pages = {1970-1982}, number = {6}, 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}, publisher = {North-Holland}, year = {1970}, author = {M. J. Klein}, volume = {1}, address = {Amsterdam} } @INPROCEEDINGS{Klimesh2004, author = {M. Klimesh}, title = {Entropy Measures and Catalysis of Bipartite Quantum State Transformations}, booktitle = {Proceedings 2004 IEEE International Symposium on Information Theory}, year = {2004}, pages = {357}, month = {June 27 - Luly 2} } @ARTICLE{Kloss1959, author = {B. Kloss}, title = {Probability distributions on bicompact topological groups}, journal = {Theory Probab. 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Teller}, title = {Equations of State Calculations by Fast Computing Machines}, journal = {Journal of Chemical Physics}, year = {1953}, volume = {21}, pages = {1087-1092}, number = {6}, owner = {ph}, timestamp = {2007.09.11} } @TECHREPORT{Minka2001, author = {T. P. Minka}, title = {Bayesian inference, entropy, and the multinomial distribution}, year = {2001}, type = {Internet manuscript}, note = {Available at http://www.stat.cmu.edu/~minka/papers/multinomial.html} } @BOOK{Mitrinovic1970, title = {Analytic Inequalities}, publisher = {Springer}, year = {1970}, author = {D. S. Mitrinovi{\'c}}, address = {Berlin} } @ARTICLE{Mittal1975, author = {D. P. Mittal}, title = {On some functional equations concerning entropy, directed divergence andinaccuracy}, journal = {Metrika}, year = {1975}, volume = {22}, pages = {35--45} } @INPROCEEDINGS{Mittelstaedt1987, author = {P. Mittelstaedt}, title = {Quantum Logical Analysis of Delayed-Choice Experiments}, booktitle = {Proc. 2 Symp. On Foundations of Quantum Mechanics}, year = {1987}, address = {Tokyo}, organization = {Physical Society of Japan} } @ARTICLE{Montgomery2002, author = {H. E. {Montgomery, Jr.}}, title = {Entropy and Uncertainty Relations}, journal = {Chemical Educator}, year = {2002}, volume = {7}, pages = {334-338}, number = {6}, owner = {ph}, timestamp = {2008.02.28} } @ARTICLE{Morimoto1963, author = {T. Morimoto}, title = {Markov processes and the $H$-theorem}, journal = {J. Phys. Soc. Jap.}, year = {1963}, volume = {12}, pages = {328-331}, owner = {Peter Harremoes}, timestamp = {2010.04.17} } @ARTICLE{Morris1982, author = {C. Morris}, title = {Natural exponential families with quadratic variance functions}, journal = {Ann. Statist.}, year = {1982}, volume = {10}, pages = {65-80} } @ARTICLE{Morris1975, author = {C. Morris}, title = {Central limit theorems for multinomial sums.}, journal = {Ann. Statist.}, year = {1975}, volume = {3}, pages = {165-188} } @ARTICLE{Morris1988, author = {M. S. 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I don't know whether he ever put it in writing.}, 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} } @BOOK{Nagel1961, title = {The Structure of Science}, publisher = {Harcourt, Brace and World}, year = {1961}, author = {E. Nagel}, address = {New York} } @ARTICLE{Naiman2001, author = {D. Q. Naiman and Henry P. Wynn}, title = {Improved inclusion-Exclusion inequalities for Simplex and Orthant arrangements}, journal = {J. Ineq. Pure and Appl. Math.}, year = {2001}, volume = {2}, pages = {Article 18}, number = {2}, note = {[ONLINE] Available: http://www.mi.sanu.ac.yu/EMIS/journals/JIPAM/accepted_papers/031_00.html} } @ARTICLE{Naudts2004, author = {J. Naudts}, title = {Continuity of a class of entropies and relative entropies}, journal = {Rev. Math. 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Tardos}, volume = {16}, series = {Bolyai Society Mathematical Studies}, pages = {179-207}, organization = {Bolyai Society}, url = {http://www.math.ku.dk/~topsoe/aspects.pdf} } @INBOOK{Topsoe2007b, chapter = {8, Information Theory at the Service of Science}, pages = {179--207}, title = {Entropy, Search, Complexity}, publisher = {Springer}, year = {2007}, editor = {Imre Csisz{\'a}r and Gyula O. H. Katona and G{\'a}bor Tardos and G{\a}bor Wiener}, author = {Flemming Tops{\o}e}, volume = {16}, series = {Bolyai Society Mathematical Studies}, owner = {Peter Harremoes}, timestamp = {2010.09.11} } @INPROCEEDINGS{Topsoe2006, author = {F. Tops{\o}e}, title = {Between Truth and Description}, 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, author = {F. Tops{\o}e}, title = {Game Theoretical Equilibrium, Maximum Entropy and Minimum Information Discrimination}, booktitle = {Maximum Entropy and Bayesian Methods}, publisher = {Kluwer Academic Publishers}, year = {1993}, editor = {A. Mohammad-Djafari and G. Demoments}, pages = {15-23}, address = {Dordrecht, Boston, London} } @ARTICLE{Topsoe, author = {F. Tops{\o}e}, title = {Entropy Lower Bounds Related to a Problem of Universal Coding and Prediction}, journal = {J. Ineq. Pure Applied Math.}, year = {2006}, volume = {7}, pages = {Article 59}, number = {2}, note = {Preprint, accepted for publication in JIPAM} } @INPROCEEDINGS{Topsoe2004a, author = {F. Tops{\o}e}, title = {Two Games of Information}, booktitle = {Proceedings ISITA 2004}, year = {2004}, pages = {xx-xx} } @UNPUBLISHED{Topsoe2004b, author = {F. Tops{\o}e}, title = {Some bounds for the logarithmic function}, note = {To appear.}, year = {2004}, url = {http://rgmia.vu.edu.au/v7n2.html} } @ARTICLE{Topsoe2004c, author = {F. 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