Generalized Sichel Distribution and Associated Inference

被引：5

作者：

Yeh Ching Low

Seng Huat Ong

Ramesh C. Gupta

机构：

[1] University of Malaya,Institute of Mathematical Sciences

[2] Sunway University,Department of Computing and Information Systems

[3] UCSI University,Faculty of Business and Information Science

[4] University of Maine,Department of Mathematics and Statistics

来源：

Journal of Statistical Theory and Applications | 2017年 / 16卷 / 3期

关键词：

Poisson distribution; extended generalized inverse Gaussian distribution; overdispersion; zero-inflation; long-tailed distributions;

D O I：

10.2991/jsta.2017.16.3.4

中图分类号：

学科分类号：

摘要：

In this paper, we propose a generalized form of Sichel distribution which is obtained by mixing the Poisson distribution with the extended generalized inverse Gaussian distribution. This distribution models over dispersed, zero-inflated and heavy-tailed count data sets. These characteristics are examined with respect to the dispersion, zero-inflation and the third central moment inflation indices. Examples are provided to compare the extension with several other existing models including the Poisson-inverse Gaussian and the Sichel distributions.

引用

页码：322 / 336

页数：14

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