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The hypergeometric distributions have many important applications, but theyhave not had sufficient attention in information theory. Hypergeometricdistributions can be approximated by binomial distributions or Poissondistributions. In this paper we present upper and lower bounds on informationdivergence. These bounds are important for statistical testing and a betterunderstanding of the notion of exchange-ability.

Bounds on the Information Divergence for Hypergeometric Distributions