Bivariate Poisson-weighted exponential distribution with applications

This paper proposes the bivariate version of Poisson-weighted exponential (PWE) distribution considered in Zamani and Ismail (2010). This new discrete bivariate Poisson-weighted exponential (BPWE) distribution can be used as an alternative for modeling dependent and over-dispersed count data. Severa...

Full description

Saved in:
Bibliographic Details
Main Authors: Zamani Hossein, Faroughi Pouya, Ismail Noriszura
Format: Conference Proceeding
Language:English
Subjects:
Bivariate analysis
Dispersion
Mathematical models
Probability distribution functions
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes the bivariate version of Poisson-weighted exponential (PWE) distribution considered in Zamani and Ismail (2010). This new discrete bivariate Poisson-weighted exponential (BPWE) distribution can be used as an alternative for modeling dependent and over-dispersed count data. Several properties such as mean, variance, correlation and joint moment generating function of the new BPWE distribution are discussed. A numerical example is given and the BPWE distribution is compared to bivariate Poisson (BP) distribution. The results show that BPWE distribution provides larger log likelihood and smaller AIC, indicating that BPWE distribution is better than BP distribution and can be used as an alternative for fitting dependent and over-dispersed count data.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4882600