A multivariate generalized Polya-Eggenberger probability model - First passage approach

被引：5
|
作者：
Sen, K [1 ]
Jain, R [1 ]
机构：
[1] UNIV DELHI,DEPT STAT,DELHI 110007,INDIA
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1997年 / 26卷 / 04期
关键词：
discrete multivariate distribution; multi-dimensional lattice paths; combinatorial methods; multivariate Polya distribution; first passage event; DISTRIBUTIONS;
D O I：
10.1080/03610929708831955
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 multivariate generalized Polya-Eggenberger model has been obtained by computing the probability of a first passage event with the help of combinatorial method involving counting of multi-dimensional lattice paths. The model generates a number of important discrete multivariate distributions both as particular cases and as limiting cases. A recurrence relation among the moments of the model has been established and hence first two moments have been obtained.
引用
收藏
页码：871 / 884
页数：14
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