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Dr. Ahmed Z. Afify :: Publications:

Title:
A New Weighted-Lindley Distribution: Properties, Classical and Bayesian Estimation with an Application
Authors: Bistoon Hosseini; Mahmoud Afshari; Morad Alizadeh; Ahmed Z. Afify
Year: 2022
Keywords: Anderson-Darling estimator; Weighted distributions; Lindley distribution; Maximum likelihood; Bayesian estimation; Moments
Journal: Pakistan Journal of Statistics and operation Research
Volume: 18
Issue: 4
Pages: 1049-1066
Publisher: University of the Punjab
Local/International: International
Paper Link:
Full paper Not Available
Supplementary materials Not Available
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.

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