Research Article Open Access

Bivariate Poisson-Lindley Distribution with Application

Hossein Zamani1, Pouya Faroughi2 and Noriszura Ismail3
  • 1 Hormozgan University, Iran
  • 2 Islamic Azad University, Iran
  • 3 Universiti Kebangsaan Malaysia, Malaysia

Abstract

This study applies a Bivariate Poisson-Lindley (BPL) distribution for modeling dependent and over-dispersed count data. The advantage of using this form of BPL distribution is that the correlation coefficient can be positive, zero or negative, depending on the multiplicative factor parameter. Several properties such as mean, variance and correlation coefficient of the BPL distribution are discussed. A numerical example is given and the BPL distribution is compared to Bivariate Poisson (BP) and Bivariate Negative Binomial (BNB) distributions which also allow the correlation coefficient to be positive, zero or negative. The results show that BPL distribution provides the smallest Akaike Information Criterion (AIC), indicating that the distribution can be used as an alternative for fitting dependent and over-dispersed count data, with either negative or positive correlation.

Journal of Mathematics and Statistics
Volume 11 No. 1, 2015, 1-6

DOI: https://doi.org/10.3844/jmssp.2015.1.6

Submitted On: 25 September 2014 Published On: 12 March 2015

How to Cite: Zamani, H., Faroughi, P. & Ismail, N. (2015). Bivariate Poisson-Lindley Distribution with Application. Journal of Mathematics and Statistics, 11(1), 1-6. https://doi.org/10.3844/jmssp.2015.1.6

  • 3,376 Views
  • 2,744 Downloads
  • 9 Citations

Download

Keywords

  • Bivariate
  • Poisson-Lindley
  • Dependent
  • Over-Dispersed
  • Count Data