A new multivariate inverse Polya distribution of order k

被引：5

作者：

Tripsiannis, GA

Philippou, AN

机构：

[1] DEMOCRITUS UNIV THRACE, FAC MED, ALEXANDROUPOLIS, GREECE

[2] UNIV PATRAS, DEPT MATH, GR-26110 PATRAS, GREECE

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1997年 / 26卷 / 01期

关键词：

multivariate distribution of order k; type I; Dirichlet; negative binomial; inverse hypergeometric; negative inverse hypergeometric; Poisson; mean; variance-covariance; limiting cases;

D O I：

10.1080/03610929708831907

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 new multivariate inverse Polya distribution of order k, type I, is derived by means of a generalized um scheme and by compounding the multivariate negative binomial distribution of order k, type I, of Philippou, Antzoulakos and Tripsiannis (1988) with the Dirichlet distribution. It is noted that this new distribution includes as special cases a new multivariate inverse hypergeometric distribution of order k and a new multivariate negative inverse one of the same order. The mean and variance-covariance of the multivariate inverse Polya distribution of order k, type I, are derived, and two known distributions of the same order are shown to be limiting cases of it.

引用

页码：149 / 158

页数：10

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