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A Probability Distribution Associated With Events With Multiple Occurrences

Author

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  • 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

Suggested Citation

  • Panaretos, John & Xekalaki, Evdokia, 1989. "A Probability Distribution Associated With Events With Multiple Occurrences," MPRA Paper 6253, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:6253
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    File URL: https://mpra.ub.uni-muenchen.de/6253/1/MPRA_paper_6253.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 313-318, October.
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    Citations

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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;The Institute of Statistical Mathematics, vol. 49(1), pages 141-153, March.

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    More about this item

    Keywords

    Cluster hypergeometric distribution; Cluster negative hypergeometric distribution; Cluster binomial distribution; Cluster Polya distribution;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

    Statistics

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