Reference : Concavity of entropy along binomial convolution
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/13576
Concavity of entropy along binomial convolution
English
Hillion, Erwan mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
12-Jan-2012
Electronic communications in probability
17
1-9
Yes
International
[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.
http://hdl.handle.net/10993/13576

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