Binomial and Poisson distributions as maximum entropy distributions

Binomial and Poisson distributions as maximum entropy distributions

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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Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on information theory 2001-07, Vol.47 (5), p.2039-2041
1. Verfasser: Harremoes, P.
Format: Artikel
Sprache:eng
Schlagworte:
Binomial distribution
Binomials
Convergence
Divergence
Entropy
Law
Mathematical models
Maximization
Maximum entropy
Maximum entropy methods
Poisson distributions
Studies
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Beschreibung
Zusammenfassung: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.
ISSN:0018-9448
1557-9654
DOI:10.1109/18.930936