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On compounded bivariate poisson distributions

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  • Katerina M. David
  • H. Papageorgiou

Abstract

A unified treatment is given for a class of discrete distributions derived by compounding a bivariate Poisson with a bivariate discrete or continuous distribution. Using generating functions a number of interesting results are obtained for probabilities, moments, cumulants, factorial moments, and factorial cumulants. Conditional distributions and regression functions are also examined. Five illustrative examples are presented in detail. © 1994 John Wiley & Sons, Inc.

Suggested Citation

  • Katerina M. David & H. Papageorgiou, 1994. "On compounded bivariate poisson distributions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(2), pages 203-214, March.
    • Handle: RePEc:wly:navres:v:41:y:1994:i:2:p:203-214
    DOI: 10.1002/1520-6750(199403)41:23.0.CO;2-Z
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    References listed on IDEAS

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    1. S. H. Ong & P. A. Lee, 1985. "On the bivariate negative binomial distribution of mitchell and paulson," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(3), pages 457-465, August.
    2. S. Kocherlakota, 1988. "On the compounded bivariate Poisson distribution: A unified treatment," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 40(1), pages 61-76, March.
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