Concavity of entropy along binomial convolution

Reference : Concavity of entropy along binomial convolution


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/13576

Title :	Concavity of entropy along binomial convolution
Language :	English
Author, co-author :	Hillion, Erwan [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	12-Jan-2012
Journal title :	Electronic communications in probability
Volume :	17
Pages :	1-9
Peer reviewed :	Yes
Audience :	International
Abstract :	[en] Motivated by a generalization of Sturm-Lott-Villani theory to discrete spaces and by a conjecture stated by Shepp and Olkin about the entropy of sums of Bernoulli random variables, we prove the concavity in t of the entropy of the convolution of a probability measure a, which has the law of a sum of independent Bernoulli variables, by the binomial measure of parameters n and t.
Permalink :	http://hdl.handle.net/10993/13576

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