Complete monotonicity of some entropies

被引：0

作者：

Ioan Raşa

机构：

[1] Technical University of Cluj-Napoca,Department of Mathematics

来源：

Periodica Mathematica Hungarica | 2017年 / 75卷

关键词：

Entropies; Concavity; Complete monotonicity; Inequalities; 94A17; 60E15; 26A51;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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 their Shannon, Rényi, and Tsallis entropies with respect to complete monotonicity.

引用

页码：159 / 166

页数：7