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 ![]() | |
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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