Expressions for the Entropy of Binomial-Type Distributions release_glu5koyecraejekd2m6qfodxgy

by Mahdi Cheraghchi

Released as a article .

2018  

Abstract

We develop a general method for computing logarithmic and log-gamma expectations of distributions. As a result, we derive series expansions and integral representations of the entropy for several fundamental distributions, including the Poisson, binomial, beta-binomial, negative binomial, and hypergeometric distributions. Our results also establish connections between the entropy functions and to the Riemann zeta function and its generalizations.
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Type  article
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Date   2018-07-21
Version   v4
Language   en ?
arXiv  1708.06394v4
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