Zero-modified Poisson-Modification of Quasi Lindley distribution and its application

• Authors: Ramajeyam Tharshan , Pushpakanthie Wijekoon

Abstracts

EN

The Poisson-Modification of Quasi Lindley (PMQL) distribution is a newly introduced mixed Poisson distribution for over-dispersed count data. The aim of this article is to introduce the Zero-modified PMQL (ZMPMQL) distribution as an alternative to the PMQL distribution in order to accommodate zero inflation/deflation. The method of obtaining the ZMPMQL distribution jointly with some of its important properties, namely the probability mass and distribution functions, mean, variance, index of dispersion, and quantile function are presented. Furthermore, some of its special cases are discussed. The maximum likelihood (ML) estimation method is used for the unknown parameter estimation. A simulation study is conducted in order to evaluate the asymptotic theory of the ML estimation method and to show the superiority of the ML method over the method of moments estimation. The applicability of the introduced distribution is illustrated by using a real-world data set.

Keywords

EN

over-dispersion; mixed Poisson distribution; PMQL distribution; zero modification; maximum likelihood estimation

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2022
• Volume: 23
• Issue: 4
• Pages: 113-128

Dates

published

2022

Contributors

author

Ramajeyam Tharshan

• Postgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka & Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka

• https://orcid.org/0000000261122517

author

Pushpakanthie Wijekoon

• Department of Statistics and Computer Science, University of Peradeniya, Peradeniya, Sri Lanka

• https://orcid.org/0000000342421017

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Identifiers

DOI

10.2478/stattrans-2022-0045

Biblioteka Nauki

2156994