On the Maximum Entropy Properties of the Binomial Distribution

DOI10.1109/TIT.2008.924715zbMath1328.94032OpenAlexW2125898599MaRDI QIDQ3604489

Yaming Yu

Publication date: 24 February 2009

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2008.924715

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

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Discrete versions of the transport equation and the Shepp-Olkin conjecture ⋮ Negative dependence and stochastic orderings ⋮ On the inclusion probabilities in some unequal probability sampling plans without replacement ⋮ Concentration of the Intrinsic Volumes of a Convex Body ⋮ Relative log-concavity and a pair of triangle inequalities ⋮ On the Maximum Entropy of a Sum of Independent Discrete Random Variables ⋮ A proof of the Shepp-Olkin entropy monotonicity conjecture

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