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.
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页码：486 / 500
页数：15
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