Complete monotonicity of some entropies
Classical Analysis and ODEs
2016-08-19 v2
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 Shannon, R\'{e}nyi, and Tsallis entropies of them with respect to the complete monotonicity.
Keywords
Cite
@article{arxiv.1606.05520,
title = {Complete monotonicity of some entropies},
author = {Ioan Rasa},
journal= {arXiv preprint arXiv:1606.05520},
year = {2016}
}