ON A CLASS OF BIVARIATE COMPOUNDED POISSON-DISTRIBUTIONS

被引:0
|
作者
PAPAGEORGIOU, H [1 ]
DAVID, KM [1 ]
机构
[1] UNIV ATHENS,DEPT MATH,GR-15784 ATHENS,GREECE
关键词
CONVOLUTED POISSON DISTRIBUTIONS; BIVARIATE SHORT; PROBABILITY GENERATING FUNCTION; CONDITIONAL DISTRIBUTIONS; ACCIDENT DATA;
D O I
10.1016/0167-7152(94)00099-T
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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.
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页码:93 / 104
页数:12
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