DocumentCode
1505578
Title
Binomial and Poisson distributions as maximum entropy distributions
Author
Harremoës, Peter
Author_Institution
Aurehoj Amtsgymnasium, Soborg, Denmark
Volume
47
Issue
5
fYear
2001
fDate
7/1/2001 12:00:00 AM
Firstpage
2039
Lastpage
2041
Abstract
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
Keywords
Poisson distribution; binomial distribution; information theory; maximum entropy methods; Poisson distribution; Poisson´s law; binomial distribution; convergence; entropy maximization; information divergence; maximum entropy distributions; Convergence; Entropy; Maximum likelihood estimation; Probability distribution; Random variables; Statistical distributions;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.930936
Filename
930936
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