A generalization of the beta-binomial distribution

被引：7

作者：

Rodriguez-Avi, J. ^{[1
]}

Conde-Sanchez, A. ^{[1
]}

Saez-Castillo, A. J. ^{[1
]}

Olmo-Jimenez, M. J. ^{[1
]}

机构：

[1] Univ Jaen, Dept Stat & Operat Res, Jaen 23071, Spain

来源：

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS | 2007年 / 56卷

关键词：

beta-binomial distribution; conditional specification; Gaussian hypergeometric distribution; mixture model; overdispersion;

D O I：

10.1111/j.1467-9876.2007.00564.x

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：

The paper describes a distribution generated by the Gaussian hypergeometric function that may be seen as a generalization of the beta-binomial distribution. It is expressed as a generalized beta mixture of a binomial distribution. This new mixing distribution allows the existence of a mode and an antimode, which is very useful for fitting some data sets. Two examples illustrate the greater versatility of the new distribution compared with the beta-binomial distribution.

引用

页码：51 / 61

页数：11

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