Concavity of some entropies
arXiv:1512.02364
Abstract
It is well-known that the Shannon entropies of some parameterized probability distributions are concave functions with respect to the parameter. In this paper we consider a family of such distributions (including the binomial, Poisson, and negative binomial distributions) and investigate the concavity of the Shannon, Rényi, and Tsallis entropies of them.
8 pages; an oral presentation based on this work was delivered at ICMA 2015 (International Conference on Mathematics and its Applications)