Bivariate Poisson-weighted exponential distribution with applications

Hossein Zamani, Pouya Faroughi, Noriszura Ismail

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages964-968
Number of pages5
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

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Keywords

  • Bivariate
  • count data
  • dependent
  • over-dispersed
  • Poisson-weighted exponential

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Zamani, H., Faroughi, P., & Ismail, N. (2014). Bivariate Poisson-weighted exponential distribution with applications. In AIP Conference Proceedings (Vol. 1602, pp. 964-968). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882600

Bivariate Poisson-weighted exponential distribution with applications. / Zamani, Hossein; Faroughi, Pouya; Ismail, Noriszura.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 964-968.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zamani, H, Faroughi, P & Ismail, N 2014, Bivariate Poisson-weighted exponential distribution with applications. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 964-968, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882600
Zamani H, Faroughi P, Ismail N. Bivariate Poisson-weighted exponential distribution with applications. In AIP Conference Proceedings. Vol. 1602. American Institute of Physics Inc. 2014. p. 964-968 https://doi.org/10.1063/1.4882600
Zamani, Hossein ; Faroughi, Pouya ; Ismail, Noriszura. / Bivariate Poisson-weighted exponential distribution with applications. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 964-968
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