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Concavity of entropy along binomial convolutions

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Publication:428728
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DOI10.1214/ECP.v17-1707zbMath1246.60031MaRDI QIDQ428728

Erwan Hillion

Publication date: 22 June 2012

Published in: Electronic Communications in Probability (Search for Journal in Brave)


zbMATH Keywords

binomial distributionconcavity of entropyOlkin-Shepp conjecture


Mathematics Subject Classification ID

Measures of information, entropy (94A17) Distribution theory (60E99)


Related Items (6)

Discrete versions of the transport equation and the Shepp-Olkin conjecture ⋮ Kantorovich duality for general transport costs and applications ⋮ Complete monotonicity of some entropies ⋮ Contribution of maximum entropy principle in the field of queueing theory ⋮ A proof of the Shepp-Olkin entropy monotonicity conjecture ⋮ Lazy random walks and optimal transport on graphs






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