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Expressions for the Entropy of Basic Discrete Distributions.
- Source :
-
IEEE Transactions on Information Theory . Jul2019, Vol. 65 Issue 7, p3999-4009. 11p. - Publication Year :
- 2019
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 65
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 137099107
- Full Text :
- https://doi.org/10.1109/TIT.2019.2900716