A New Weighted-Lindley Distribution: Properties, Classical and Bayesian Estimation with an Application | [Pakistan Journal of Statistics and Operation Research • 2022]

Author(s):

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

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

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

4. 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.

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

Keywords:

maximum likelihood , Bayesian estimation , Moments , AndersonDarling estimator , Lindley Distribution , Weighted distributions

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