Binomial and Poisson distributions as maximum entropy distributions

  • Authors:
  • P. Harremoes

  • Affiliations:
  • Aurehoj Amtsgymnasium, Soborg

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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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