Expressions for the Entropy of Basic Discrete Distributions. Cheraghchi, M. IEEE Transactions on Information Theory, 65(7):3999–4009, 2019. Preliminary version in Proceedings of ISIT 2018.![Expressions for the Entropy of Basic Discrete Distributions [link]](https://bibbase.org/img/filetypes/link.svg "link")
Link Paper doi abstract bibtex 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.
@ARTICLE{ref:Che19:entropy,
author = {Mahdi Cheraghchi},
title = {Expressions for the Entropy of Basic Discrete
Distributions},
year = 2019,
journal = {{IEEE Transactions on Information Theory}},
volume = 65,
number = 7,
pages = {3999--4009},
note = {Preliminary version in Proceedings of {ISIT 2018}.},
doi = {10.1109/TIT.2019.2900716},
url_Link = {https://ieeexplore.ieee.org/document/8648470},
url_Paper = {https://arxiv.org/abs/1708.06394},
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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