Classical and Bayesian estimation of reliability in a multicomponent stress–strength model based on a general class of inverse exponentiated distributions

Fatih Kızılaslan ()
Additional contact information
Fatih Kızılaslan: Marmara University

Statistical Papers, 2018, vol. 59, issue 3, No 16, 1192 pages

Abstract: Abstract A s-out-of-k : G system consists of k components functions if and only if at least s components functions. In this paper, we consider the s-out-of-k : G system when this system is exposed a common random stress and the underlying distributions belong to the family of inverse exponentiated distributions. The estimates of this sytem reliability are investigated by using classical and Bayesian approaches. The uniformly minimum variance unbiased and exact Bayes estimates of the reliability of system are obtained analytically when the common second parameter is known. The Bayes estimates for the reliability of system have been developed by using Lindley’s approximation and the Markov Chain Monte Carlo method due to the lack of explicit forms when the all parameters are unknown. The asymptotic confidence interval and coverage probabilities are derived based on the Fisher’s information matrix. The highest probability density credible interval is constructed by using the Markov Chain Monte Carlo method. The comparison of the derived estimates are carried out by using Monte Carlo simulations. Real data set is also analysed for an illustration of the findings.

Keywords: s-out-of-k : G system; Stress–strength model; Multicomponent reliability; General class of inverse exponentiated distributions; Bayes estimation (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://link.springer.com/10.1007/s00362-016-0810-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:stpapr:v:59:y:2018:i:3:d:10.1007_s00362-016-0810-7

Ordering information: This journal article can be ordered from
http://www.springer. ... business/journal/362

DOI: 10.1007/s00362-016-0810-7

Access Statistics for this article

Statistical Papers is currently edited by C. Müller, W. Krämer and W.G. Müller

More articles in Statistical Papers from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().