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arXiv · 1606.05520

Complete monotonicity of some entropies

Ioan Rasa
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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.

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Ioan Rasa. 2016-06-17. Complete monotonicity of some entropies. https://arxiv.org/abs/1606.05520

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