Research Article Open Access

POISSON-WEIGHTED EXPONENTIAL UNIVARIATE VERSION AND REGRESSION MODEL WITH APPLICATIONS

Hossein Zamani1, Noriszura Ismail2 and Pouya Faroughi2
  • 1 Hormozgan University, Iran
  • 2 Universiti Kebangsaan Malaysia, Malaysia

Abstract

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.

Journal of Mathematics and Statistics
Volume 10 No. 2, 2014, 148-154

DOI: https://doi.org/10.3844/jmssp.2014.148.154

Submitted On: 27 November 2013 Published On: 8 March 2014

How to Cite: Zamani, H., Ismail, N. & Faroughi, P. (2014). POISSON-WEIGHTED EXPONENTIAL UNIVARIATE VERSION AND REGRESSION MODEL WITH APPLICATIONS. Journal of Mathematics and Statistics, 10(2), 148-154. https://doi.org/10.3844/jmssp.2014.148.154

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Keywords

  • Mixed Poisson
  • Weighted Exponential
  • Poisson-Weighted Exponential
  • Count Data
  • Regression Model