On estimating the reliability in a multicomponent stress-strength model based on Chen distribution

被引：57

作者：

Kayal, Tanmay ^{[1
]}

Tripathi, Yogesh Mani ^{[1
]}

Dey, Sanku ^{[2
]}

Wu, Shuo-Jye ^{[3
]}

机构：

[1] Indian Inst Technol Patna, Dept Math, Bihta, India

[2] St Anthonys Coll, Dept Stat, Shillong, Meghalaya, India

[3] Tamkang Univ, Dept Stat, New Taipei 25137, Taiwan

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2020年 / 49卷 / 10期

关键词：

Bayesian estimation; highest posterior density interval; maximum likelihood estimation; reliability of multicomponent; stress-strength; LIFETIME DISTRIBUTION; BAYESIAN-ESTIMATION; BATHTUB SHAPE;

D O I：

10.1080/03610926.2019.1576886

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this article, we obtain point and interval estimates of multicomponent stress-strength reliability model of an s-out-of-j system using classical and Bayesian approaches by assuming both stress and strength variables follow a Chen distribution with a common shape parameter which may be known or unknown. The uniformly minimum variance unbiased estimator of reliability is obtained analytically when the common parameter is known. The behavior of proposed reliability estimates is studied using the estimated risks through Monte Carlo simulations and comments are obtained. Finally, a data set is analyzed for illustrative purposes.

引用

页码：2429 / 2447

页数：19

共 32 条

[1] Bayesian estimation based on progressive Type-II censoring from two-parameter bathtub-shaped lifetime model: an Markov chain Monte Carlo approach [J].