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Expressions for the Entropy of Binomial-Type Distributions
release_glu5koyecraejekd2m6qfodxgy
by
Mahdi Cheraghchi
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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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1708.06394v4
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