Title
E-Bayesian Estimation Of Reliability Characteristics Of Two-Parameter Bathtub-Shaped Lifetime Distribution With Application
Abstract
This article presents the expected Bayesian (E-Bayesian) estimation of the scale parameter, reliability and failure rate functions of two-parameter bathtub-shaped lifetime distribution under type-II censoring data with. Squared error loss function and gamma distribution as a conjugate prior distribution for the unknown parameter are used to obtain the E-Bayesian estimators. Also, three different prior distributions for the hyperparameters for the E-Bayesian estimators are considered. Some properties of the E-Bayesian estimators are studied. Using minimum mean square error criteria, a simulation study is conducted to compare the performance of the E-Bayesian estimators and the corresponding Bayes and maximum likelihood estimators. A real data set is analysed to show the applicability of the different proposed estimators. The numerical results show that the E-Bayesian estimators perform better than the classical and Bayesian estimators.
Year
DOI
Venue
2021
10.1002/qre.2817
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
Keywords
DocType
Volume
a two&#8208, parameter bathtub&#8208, shaped distribution, Bayes estimation, E&#8208, Bayes estimation, square loss function, type&#8208, II censoring data
Journal
37
Issue
ISSN
Citations 
4
0748-8017
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Ali H. Algarni112.39
Abdullah M. Almarashi204.73