Reversal of Rényi Entropy Inequalities Under Log-Concavity

DOI10.1109/TIT.2020.3024025zbMath1465.94036arXiv2005.10930OpenAlexW3086756434MaRDI QIDQ5151691

Tomasz Tkocz, James Melbourne

Publication date: 22 February 2021

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

Full work available at URL: https://arxiv.org/abs/2005.10930

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

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Concentration functions and entropy bounds for discrete log-concave distributions, Concentration inequalities for ultra log-concave distributions, Entropy-variance inequalities for discrete log-concave random variables via degree of freedom, A discrete complement of Lyapunov's inequality and its information theoretic consequences, Entropies of sums of independent gamma random variables, On a Conjecture of Feige for Discrete Log-Concave Distributions, Bernoulli sums and Rényi entropy inequalities