4.5 Article

Binomial and Poisson distributions as maximum entropy distributions

Journal

IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 47, Issue 5, Pages 2039-2041

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/18.930936

Keywords

binomial distribution; entropy; generalized binomial distribution; information divergence; Poisson distribution; Poisson's law

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The binomial and the Poisson distributions are shown to be maximum entropy distributions of suitably defined sets. Poisson's law is considered as a case of entropy maximization, and also convergence in information divergence is established.

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