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A probability distribution associated with events with multiple occurrences

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Author Info
Panaretos, John
Xekalaki, Evdokia

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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://www.sciencedirect.com/science/article/B6V1D-45DB147-10/2/12e175277977587650c2edef55f6b3f4
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Publisher Info
Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 8 (1989)
Issue (Month): 4 (September)
Pages: 389-395
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Handle: RePEc:eee:stapro:v:8:y:1989:i:4:p:389-395

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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 listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  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. [Downloadable!]
  2. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 313-318, October. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  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. [Downloadable!] (restricted)
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