Classical and Bayesian Estimation of Reliability inMulticomponent Stress-Strength Model Based on Weibull Distribution
In this study, we consider a multicomponent system which has k independent and identical strength components X1,...,Xk and each component is exposed to a common random stress Y when the underlying distributions are Weibull. The system is regarded as operating only if at least s out of k (1≤ s≤ k) st...
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| Format: | Article |
| Language: | English |
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Universidad Nacional de Colombia
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| Series: | Revista Colombiana de Estadística |
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| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512015000200010&lng=en&tlng=en |
| _version_ | 1818049804298616832 |
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| author | FATIH KIZILASLAN MUSTAFA NADAR |
| author_facet | FATIH KIZILASLAN MUSTAFA NADAR |
| author_sort | FATIH KIZILASLAN |
| collection | DOAJ |
| description | In this study, we consider a multicomponent system which has k independent and identical strength components X1,...,Xk and each component is exposed to a common random stress Y when the underlying distributions are Weibull. The system is regarded as operating only if at least s out of k (1≤ s≤ k) strength variables exceeds the random stress. We estimate the reliability of the system by using frequentist and Bayesian approaches. The Bayes estimate of the reliability has been developed by using Lindleys approximation and the Markov Chain Monte Carlo methods due to the lack of explicit forms. The asymptotic confidence interval and the highest probability density credible interval are constructed for the reliability. The comparison of the reliability estimators is made in terms of the estimated risks by the Monte Carlo simulations. |
| first_indexed | 2024-12-10T10:43:24Z |
| format | Article |
| id | doaj.art-137c7755c3b1481abe46d987d5219b17 |
| institution | Directory Open Access Journal |
| issn | 0120-1751 |
| language | English |
| last_indexed | 2024-12-10T10:43:24Z |
| publisher | Universidad Nacional de Colombia |
| record_format | Article |
| series | Revista Colombiana de Estadística |
| spelling | doaj.art-137c7755c3b1481abe46d987d5219b172022-12-22T01:52:14ZengUniversidad Nacional de ColombiaRevista Colombiana de Estadística0120-175138246748410.15446/rce.v38n2.51674S0120-17512015000200010Classical and Bayesian Estimation of Reliability inMulticomponent Stress-Strength Model Based on Weibull DistributionFATIH KIZILASLAN0MUSTAFA NADAR1Gebze Technical UniversityIstanbul Technical UniversityIn this study, we consider a multicomponent system which has k independent and identical strength components X1,...,Xk and each component is exposed to a common random stress Y when the underlying distributions are Weibull. The system is regarded as operating only if at least s out of k (1≤ s≤ k) strength variables exceeds the random stress. We estimate the reliability of the system by using frequentist and Bayesian approaches. The Bayes estimate of the reliability has been developed by using Lindleys approximation and the Markov Chain Monte Carlo methods due to the lack of explicit forms. The asymptotic confidence interval and the highest probability density credible interval are constructed for the reliability. The comparison of the reliability estimators is made in terms of the estimated risks by the Monte Carlo simulations.http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512015000200010&lng=en&tlng=endistribución Weibullmodelo estrés-fuerzasistema de confiabilidad |
| spellingShingle | FATIH KIZILASLAN MUSTAFA NADAR Classical and Bayesian Estimation of Reliability inMulticomponent Stress-Strength Model Based on Weibull Distribution Revista Colombiana de Estadística distribución Weibull modelo estrés-fuerza sistema de confiabilidad |
| title | Classical and Bayesian Estimation of Reliability inMulticomponent Stress-Strength Model Based on Weibull Distribution |
| title_full | Classical and Bayesian Estimation of Reliability inMulticomponent Stress-Strength Model Based on Weibull Distribution |
| title_fullStr | Classical and Bayesian Estimation of Reliability inMulticomponent Stress-Strength Model Based on Weibull Distribution |
| title_full_unstemmed | Classical and Bayesian Estimation of Reliability inMulticomponent Stress-Strength Model Based on Weibull Distribution |
| title_short | Classical and Bayesian Estimation of Reliability inMulticomponent Stress-Strength Model Based on Weibull Distribution |
| title_sort | classical and bayesian estimation of reliability inmulticomponent stress strength model based on weibull distribution |
| topic | distribución Weibull modelo estrés-fuerza sistema de confiabilidad |
| url | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512015000200010&lng=en&tlng=en |
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