TY  - JOUR
AU  - Zamani, Hossein 
AU  - Ismail, Noriszura 
AU  - Faroughi, Pouya 
PY  - 2014
TI  - POISSON-WEIGHTED EXPONENTIAL UNIVARIATE VERSION AND REGRESSION MODEL WITH APPLICATIONS
JF  - Journal of Mathematics and Statistics
VL  - 10
IS  - 2
DO  - 10.3844/jmssp.2014.148.154
UR  - https://thescipub.com/abstract/jmssp.2014.148.154
AB  - 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.