Title :
Binomial and Poisson distributions as maximum entropy distributions
Author :
Harremoës, Peter
Author_Institution :
Aurehoj Amtsgymnasium, Soborg, Denmark
fDate :
7/1/2001 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
