Analysis of long-tailed count data by Poisson mixtures

被引：33
|
作者：
Gupta, RC [1 ]
Ong, SH
机构：
[1] Univ Maine, Dept Math & Stat, Orono, ME 04469 USA
[2] Univ Malaya, Inst Math Sci, Kuala Lumpur, Malaysia
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2005年 / 34卷 / 03期
关键词：
data fitting; empirical modeling; generalizations of the gamma; mixing distribution; over dispersion; tail length and behavior;
D O I：
10.1081/STA-200052144
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：
This article deals with various mixed Poisson distributions in order to analyze count data characterized by their long tails and over dispersion when the Poisson distribution and negative binomial distribution are found to be inadequate. Several mixed Poisson distributions are presented and their structural properties are investigated. Three well-known data sets, having long tails, are analyzed and the results of fitting by various models are provided.
引用
收藏
页码：557 / 573
页数：17
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