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

Research

Title	A New Weighted-Lindley Distribution: Properties, Classical and Bayesian Estimation with an Application
Type	Article
Keywords	Anderson-Darling estimator,weighted distributions, Lindley distribution, Maximum likelihood Bayesian estimation ,Moments
Journal	Pakistan Journal of Statistics and Operation Research
DOI	https://doi.org/10.18187/pjsor.v18i4.4106
Researchers	Mahmoud Afshari (Second researcher) , Morad Alizadeh (Third researcher) , Ahmed Afify (Fourth researcher)

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.