POISSON-WEIGHTED EXPONENTIAL UNIVARIATE VERSION AND REGRESSION MODEL WITH APPLICATIONS | Science Publications

Journal of Mathematics and Statistics

Noriszura Ismail¹  Pouya Faroughi¹  Hossein Zamani¹ 

关键词: Mixed Poisson;    Weighted Exponential;    Poisson-Weighted Exponential;    Count Data;    Regression Model;   

DOI  :  10.3844/jmssp.2014.148.154

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

This study introduces a new two-parameter mixed Poisson distribution, namely Poisson-Weighted Exponential (P-WE), which is obtained by mixing Poisson distribution with a new class of weighted exponential distribution. The new P-WE distribution provides a more flexible alternative for modelling over dispersed count data compared to Poisson distribution. The estimation procedures of P-WE distribution via method of moments and maximum likelihood are provided. This study also introduces P-WE regression model which can be fitted to over dispersed count data with covariates. The P-WE distribution and P-WE regression model are fitted to two sets of count data.

【 授权许可】

Unknown