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On Generalized Binomial and Multinomial Distributions and Their Relation to Generalized Poisson Distributions

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  • Panaretos, John
  • Xekalaki, Evdokia

Abstract

The binomial and multinomial distributions are, probably, the best known distributions because of their vast number of applications. The present paper examines some generalizations of these distributions with many practical applications. Properties of these generalizations are studied and models giving rise to them are developed. Finally, their relationship to generalized Poisson distributions is examined and limiting cases are given

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File URL: http://mpra.ub.uni-muenchen.de/6248/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 6248.

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Date of creation: 1986
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Handle: RePEc:pra:mprapa:6248

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Related research

Keywords: cluster binomial distribution; cluster multinomial distribution; generalized Poisson distribution;

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  1. Xekalaki, Evdokia & Panaretos, John, 1983. "Identifiability of Compound Poisson Distributions," MPRA Paper 6244, University Library of Munich, Germany.
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Cited by:
  1. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, Elsevier, vol. 4(6), pages 313-318, October.
  2. Panaretos, John & Xekalaki, Evdokia, 1989. "A Probability Distribution Associated With Events With Multiple Occurrences," MPRA Paper 6253, University Library of Munich, Germany.

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