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On a class of bivariate compounded Poisson distributions

Author

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  • Papageorgiou, H.
  • David, Katerina M.

Abstract

A unified treatment is given for a family of bivariate discrete distributions with marginals and conditionals being convoluted Poisson distributions. Using generating functions a number of results are obtained for probabilities, cumulants and factorial cumulants. Conditional distributions are also examined. Five illustrative examples are presented in detail. Applications to accident data are indicated.

Suggested Citation

  • Papageorgiou, H. & David, Katerina M., 1995. "On a class of bivariate compounded Poisson distributions," Statistics & Probability Letters, Elsevier, vol. 23(1), pages 93-104, April.
    • Handle: RePEc:eee:stapro:v:23:y:1995:i:1:p:93-104
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    References listed on IDEAS

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    1. T. Cacoullos & Ch. Charalambides, 1975. "On minimum variance unbiased estimation for truncated binomial and negative binomial distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 27(1), pages 235-244, December.
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