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Author
Tharshan Ramajeyam (Postgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka; Department of Mathematics and Statistics, University of Jaffna, Sri Lanka), Wijekoon Pushpakanthie (Department of Statistics and Computer Science, University of Peradeniya, Peradeniya, Sri Lanka)
Title
Zero-Modified Poisson-Modification of Quasi Lindley Distribution and Its Application
Source
Statistics in Transition, 2022, vol. 23, nr 4, s. 113-128, aneks, tab., wykr., bibliogr. 14 poz.
Keyword
Metoda największej wiarygodności, Rozkład prawdopodobieństwa, Estymacja
Maximum likelihood estimation, Probability distributions, Estimation
Note
summ.
Abstract
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. (original abstract)
Accessibility
The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
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Bibliography
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ISSN
1234-7655
Language
eng
URI / DOI
http://dx.doi.org/10.2478/stattrans-2022-0045
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