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A Probability Distribution Associated With Events With Multiple Occurrences

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Author Info

  • Panaretos, John
  • Xekalaki, Evdokia

Abstract

The paper discusses extensions of the well-known hypergeometric and negative hypergeometric distributions for describing data with multiple counts. The derivation of these extensions is based on certain urn schemes that allow for sampling clusters of items rather than individual items. The obtained distributions are then examined with respect to their properties, interrelations as well as relations to other existing distributions

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File URL: http://mpra.ub.uni-muenchen.de/6253/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 6253.

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Date of creation: 1989
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Publication status: Published in Statistics and Probability Letters 4.8(1989): pp. 389-396
Handle: RePEc:pra:mprapa:6253

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Related research

Keywords: Cluster hypergeometric distribution; Cluster negative hypergeometric distribution; Cluster binomial distribution; Cluster Polya distribution;

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References

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  1. Panaretos, John & Xekalaki, Evdokia, 1986. "The Stuttering Generalized Waring Distribution," MPRA Paper 6250, University Library of Munich, Germany.
  2. Panaretos, John & Xekalaki, Evdokia, 1986. "On Generalized Binomial and Multinomial Distributions and Their Relation to Generalized Poisson Distributions," MPRA Paper 6248, University Library of Munich, Germany.
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Cited by:
  1. Anant Godbole & Stavros Papastavridis & Robert Weishaar, 1997. "Formulae and Recursions for the Joint Distribution of Success Runs of Several Lengths," Annals of the Institute of Statistical Mathematics, Springer, vol. 49(1), pages 141-153, March.

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