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Concavity of entropy along binomial convolutions

   
@article{ECP1707,
	author = {Erwan Hillion},
	title = {Concavity of entropy along binomial convolutions},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {17},
	year = {2012},
	keywords = {Olkin-Shepp conjecture ; concavity of entropy ; binomial distribution},
	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 $t$.},
	pages = {no. 4, 1-9},
	issn = {1083-589X},
	doi = {10.1214/ECP.v17-1707},    
        url = {http://ecp.ejpecp.org/article/view/1707}}