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

Authors :
Kayal, Tanmay
Tripathi, Yogesh Mani
Dey, Sanku
Wu, Shuo-Jye
Source :
Communications in Statistics: Theory & Methods; 2020, Vol. 49 Issue 10, p2429-2447, 19p
Publication Year :
2020

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03610926
Volume :
49
Issue :
10
Database :
Complementary Index
Journal :
Communications in Statistics: Theory & Methods
Publication Type :
Academic Journal
Accession number :
142489647
Full Text :
https://doi.org/10.1080/03610926.2019.1576886