Concavity of some entropies
Classical Analysis and ODEs
2015-12-09 v1
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, R\'enyi, and Tsallis entropies of them.
Keywords
Cite
@article{arxiv.1512.02364,
title = {Concavity of some entropies},
author = {Ioan Rasa},
journal= {arXiv preprint arXiv:1512.02364},
year = {2015}
}
Comments
8 pages; an oral presentation based on this work was delivered at ICMA 2015 (International Conference on Mathematics and its Applications)