Expressions for the entropy of binomial-type distributions
File(s)
Accepted version
Author(s)
Cheraghchi, M
Type
Conference Paper
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.
Date Issued
2018-08-15
Date Acceptance
2018-03-31
Citation
2018 IEEE International Symposium on Information Theory (ISIT), 2018, pp.2520-2524
ISBN
9781538647813
ISSN
2157-8095
Publisher
IEEE
Start Page
2520
End Page
2524
Journal / Book Title
2018 IEEE International Symposium on Information Theory (ISIT)
Copyright Statement
© 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Source
IEEE International Symposium on Information Theory (ISIT)
Subjects
cs.IT
math.IT
math.PR
math.ST
stat.TH
Publication Status
Published
Start Date
2018-06-17
Finish Date
2018-06-22
Coverage Spatial
Vail, CO, USA
Date Publish Online
2018-08-16