Overdispersed and underdispersed Poisson generalizations

被引：48

作者：

del Castillo, J

Pérez-Casany, M

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Bellaterra, Cerdanyola Vall, Spain

[2] Univ Politecn Catalunya, Dpt Matemat Applicada 2, E-08028 Barcelona, Spain

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2005年 / 134卷 / 02期

关键词：

exponential models; Stochastic orders; weighted distributions; index of dispersion; zero-inflated distributions;

D O I：

10.1016/j.jspi.2004.04.019

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：

We consider a wide set of statistical models that extend the Poisson distribution. These models are obtained through weighted versions of the Poisson family and can be approximated by a log-linear model. Under general conditions, we prove that the new models contain overdispersed and underdispersed distributions and that they can be parametrized with the mean and variance. A classical data set is analyzed to show the usefulness of the new models. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：486 / 500

页数：15

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