On a class of bivariate compounded Poisson distributions

H. Papageorgiou and Katerina M. David

Statistics & Probability Letters, 1995, vol. 23, issue 1, 93-104

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.

Keywords: Convoluted; Poisson; distributions; Bivariate; Short; Probability; generating; function; Conditional; distributions; Accident; data (search for similar items in EconPapers)
Date: 1995
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