Poisson-weighted exponential univariate version and regression model with applications

Hossein Zamani, Noriszura Ismail, Pouya Faroughi

Research output: Contribution to journalArticle

9 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)148-154
Number of pages7
JournalJournal of Mathematics and Statistics
Volume10
Issue number2
DOIs
Publication statusPublished - 2014

Fingerprint

Weighted Distributions
Univariate
Regression Model
Siméon Denis Poisson
Exponential distribution
Count Data
Poisson distribution
Exponential Model
Mixing Distribution
Method of Moments
Maximum Likelihood
Covariates
Two Parameters
Alternatives
Modeling

Keywords

  • Count data
  • Mixed Poisson
  • Poisson-weighted exponential
  • Regression model
  • Weighted exponential

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

Poisson-weighted exponential univariate version and regression model with applications. / Zamani, Hossein; Ismail, Noriszura; Faroughi, Pouya.

In: Journal of Mathematics and Statistics, Vol. 10, No. 2, 2014, p. 148-154.

Research output: Contribution to journalArticle

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