Estimation of stress-strength reliability R=P(X>Y) based on Weibull record data in the presence of inter-record times

A considerable body of literature has been recently devoted to the inference problem of the reliability parameter R=P(X>Y) based on record data. In this article, we consider the records as well as the corresponding inter-record times to develop inference procedures for R assuming X and Y come fro...

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Autores principales:	Abbas Pak, M.Z. Raqab, Mohammad Reza Mahmoudi, Shahab S. Band, Amir Mosavi
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Stress-strength model Bayesian method Inter-record times Records Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/cba42a198b4c4ddf88252fe1c9260e7c
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id	oai:doaj.org-article:cba42a198b4c4ddf88252fe1c9260e7c
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spelling	oai:doaj.org-article:cba42a198b4c4ddf88252fe1c9260e7c2021-11-30T04:13:50ZEstimation of stress-strength reliability R=P(X>Y) based on Weibull record data in the presence of inter-record times1110-016810.1016/j.aej.2021.07.025https://doaj.org/article/cba42a198b4c4ddf88252fe1c9260e7c2022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004932https://doaj.org/toc/1110-0168A considerable body of literature has been recently devoted to the inference problem of the reliability parameter R=P(X>Y) based on record data. In this article, we consider the records as well as the corresponding inter-record times to develop inference procedures for R assuming X and Y come from Weibull distribution. The maximum likelihood estimator of R and its corresponding confidence interval are determined. Bayesian analyses involving Tierney and Kadane’s approximation and Metropolis-Hasting samplers are used to estimate R based on LINEX and square error loss functions. In addition, the estimation problem of R is discussed in the models with known shape parameters. To compare all methods developed here, numerical simulation is carried out. Finally, different real data sets are analyzed.Abbas PakM.Z. RaqabMohammad Reza MahmoudiShahab S. BandAmir MosaviElsevierarticleStress-strength modelBayesian methodInter-record timesRecordsEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 2130-2144 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Stress-strength model Bayesian method Inter-record times Records Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Stress-strength model Bayesian method Inter-record times Records Engineering (General). Civil engineering (General) TA1-2040 Abbas Pak M.Z. Raqab Mohammad Reza Mahmoudi Shahab S. Band Amir Mosavi Estimation of stress-strength reliability R=P(X>Y) based on Weibull record data in the presence of inter-record times
description	A considerable body of literature has been recently devoted to the inference problem of the reliability parameter R=P(X>Y) based on record data. In this article, we consider the records as well as the corresponding inter-record times to develop inference procedures for R assuming X and Y come from Weibull distribution. The maximum likelihood estimator of R and its corresponding confidence interval are determined. Bayesian analyses involving Tierney and Kadane’s approximation and Metropolis-Hasting samplers are used to estimate R based on LINEX and square error loss functions. In addition, the estimation problem of R is discussed in the models with known shape parameters. To compare all methods developed here, numerical simulation is carried out. Finally, different real data sets are analyzed.
format	article
author	Abbas Pak M.Z. Raqab Mohammad Reza Mahmoudi Shahab S. Band Amir Mosavi
author_facet	Abbas Pak M.Z. Raqab Mohammad Reza Mahmoudi Shahab S. Band Amir Mosavi
author_sort	Abbas Pak
title	Estimation of stress-strength reliability R=P(X>Y) based on Weibull record data in the presence of inter-record times
title_short	Estimation of stress-strength reliability R=P(X>Y) based on Weibull record data in the presence of inter-record times
title_full	Estimation of stress-strength reliability R=P(X>Y) based on Weibull record data in the presence of inter-record times
title_fullStr	Estimation of stress-strength reliability R=P(X>Y) based on Weibull record data in the presence of inter-record times
title_full_unstemmed	Estimation of stress-strength reliability R=P(X>Y) based on Weibull record data in the presence of inter-record times
title_sort	estimation of stress-strength reliability r=p(x>y) based on weibull record data in the presence of inter-record times
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/cba42a198b4c4ddf88252fe1c9260e7c
work_keys_str_mv	AT abbaspak estimationofstressstrengthreliabilityrpxybasedonweibullrecorddatainthepresenceofinterrecordtimes AT mzraqab estimationofstressstrengthreliabilityrpxybasedonweibullrecorddatainthepresenceofinterrecordtimes AT mohammadrezamahmoudi estimationofstressstrengthreliabilityrpxybasedonweibullrecorddatainthepresenceofinterrecordtimes AT shahabsband estimationofstressstrengthreliabilityrpxybasedonweibullrecorddatainthepresenceofinterrecordtimes AT amirmosavi estimationofstressstrengthreliabilityrpxybasedonweibullrecorddatainthepresenceofinterrecordtimes
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Estimation of stress-strength reliability R=P(X>Y) based on Weibull record data in the presence of inter-record times

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