| Título: | Concavity of entropy along binomial convolutions |
| Autores: | Hillion, Erwan; University of Bristol |
| Fecha: | 2012-01-02 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Olkin-Shepp conjecture ; concavity of entropy ; binomial distribution 60E15 ; 94A17 |
| Descripción: | 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 $n\geq 1$ and $t$. |
| Idioma: | Inglés |
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