A proof of the Shepp-Olkin entropy concavity conjecture

DOI10.3150/16-BEJ860zbMath1390.60073arXiv1503.01570WikidataQ60061118 ScholiaQ60061118MaRDI QIDQ2405168

Erwan Hillion, Oliver Johnson

Publication date: 21 September 2017

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01570

zbMATH Keywords

entropyconcavityBernoulli sums

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50) Measures of information, entropy (94A17)

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Provable randomized rounding for minimum-similarity diversification ⋮ The Poisson binomial distribution -- old \& new ⋮ Symmetry-resolved entanglement: general considerations, calculation from correlation functions, and bounds for symmetry-protected topological phases ⋮ Bernoulli sums and Rényi entropy inequalities ⋮ On the Maximum Entropy of a Sum of Independent Discrete Random Variables ⋮ A proof of the Shepp-Olkin entropy monotonicity conjecture ⋮ Nonuniform bounds in the Poisson approximation with applications to informational distances. II

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