A New Weighted-Lindley Distribution: Properties, Classical and Bayesian Estimation with an Application

Bistoon Hosseini; Mahmoud Afshari; Morad Alizadeh; Ahmed Z. Afify

doi:10.18187/pjsor.v18i4.4106

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A New Weighted-Lindley Distribution: Properties, Classical and Bayesian Estimation with an Application

Author(s)

Bistoon Hosseini Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University,Bushehr,Iran

Mahmoud Afshari Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University,Bushehr,Iran

Morad Alizadeh Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University,Bushehr,Iran

Ahmed Z. Afify Department of Statistics, Mathematics and Insurance, Benha University,Benha,Egypt

Abstract

The choice of the most suitable statistical distribution for modeling data is very important. Generally, the new distributions are more flexible to model real data that present a high degree of skewness and kurtosis. In this paper, we define a new one-parameter lifetime distribution, so-called weighted-Lindley distribution. Some of its basic properties are investigated. Some classical and Bayesian methods of estimation have been used for estimating its parameter. The behavior of these estimators were investigated by a graphical simulation study. A real data set is analyzed to investigate the flexibility of the new weighted-Lindley distribution.

Publication Details

Page(s) 1049-1066

DOI 10.18187/pjsor.v18i4.4106

Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 18, Issue: 4, Year: 2022

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Keywords

maximum likelihood, Bayesian estimation, Moments., Anderson-Darling estimator, Lindley Distribution, Weighted distributions

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