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Concavity of entropy along binomial convolutions


 
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1. Title Title of document Concavity of entropy along binomial convolutions
 
2. Creator Author's name, affiliation, country Erwan Hillion; University of Bristol; United Kingdom
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Olkin-Shepp conjecture ; concavity of entropy ; binomial distribution
 
3. Subject Subject classification 60E15 ; 94A17
 
4. Description Abstract 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 $t$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) ESPRC
 
7. Date (YYYY-MM-DD) 2012-01-06
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1707
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-1707
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
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