Estimation of reliability in a multicomponent stress- strength model based on  generalized linear failure rate distribution

M. Kh. HASSAN; M. İ. ALOHALİ

Article Details

Estimation of reliability in a multicomponent stress- strength model based on generalized linear failure rate distribution

Authors:

M. Kh. HASSAN | M. İ. ALOHALİ

Publisher:

Hacettepe University

Main Topics:

Analysis

Journal:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 6, pp.1634-1651

Document Type:

Article

Publication Date:

12/2018

Document Language:

English

Document ID (Org No.):

2000451744

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

Abstract:

 

In this paper, we consider the problem of estimation reliability in multicomponent stress-strength model, when the system consists of kkk-components have strength are given by independently and identically distributed random variables X1,...,XkX1,...,XkX_{1},...,X_{k} each component experiencing a random stress governed by a random variable YYY. The reliability such system is obtained when strength and stress variables are given by a generalized linear failure rate distribution. The system is regarded as alive only if at least sss out of kkk (s<k)(s<k)(s<k) strength exceed the stress. The multicomponent reliability of the system is given by Rs,k=P[Rs,k=P[R_{s,k}=P[ at least sss of X1,...,XkX1,...,XkX_{1},...,X_{k} exceed Y]Y]Y]. The maximum likelihood estimator (MLE)(MLE)(MLE) and Bayes estimator of Rs,kRs,kR_{s,k} are obtained. A simulation study is performed to compare the different estimators of Rs,kRs,kR_{s,k}. Real data is used as a practical application of the proposed procedure.

Article Details

Estimation of reliability in a multicomponent stress- strength model based on generalized linear failure rate distribution

Authors: M. Kh. HASSAN | M. İ. ALOHALİ

Publisher: Hacettepe University

Main Topics: Analysis

Journal: Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 6, pp.1634-1651

Document Type: Article

Publication Date: 12/2018

Document Language: English

Document ID (Org No.): 2000451744

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

Issues

Authors:

M. Kh. HASSAN | M. İ. ALOHALİ

Publisher:

Hacettepe University

Main Topics:

Analysis

Journal:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 6, pp.1634-1651

Document Type:

Article

Publication Date:

12/2018

Document Language:

English

Document ID (Org No.):

2000451744

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X