Estimation of reliability of multicomponent stress-strength of a bathtub shape or increasing failure rate function
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1108/IJQRM-01-2017-0012 http://hdl.handle.net/11449/185467 |
Resumo: | Purpose The purpose of this paper is to deal with the Bayesian and non-Bayesian estimation methods of multicomponent stress-strength reliability by assuming the Chen distribution. Design/methodology/approach The reliability of a multicomponent stress-strength system is obtained by the maximum likelihood (MLE) and Bayesian methods and the results are compared by using MCMC technique for both small and large samples. Findings The simulation study shows that Bayes estimates based on gamma prior with absence of prior information performs little better than the MLE with regard to both biases and mean squared errors. The Bayes credible intervals for reliability are also shorter length with competitive coverage percentages than the condence intervals. Further, the coverage probability is quite close to the nominal value in all sets of parameters when both sample sizes n and m increases. Originality/value The lifetime distributions used in reliability analysis as exponential, gamma, lognormal and Weibull only exhibit monotonically increasing, decreasing or constant hazard rates. However, in many applications in reliability and survival analysis, the most realistic hazard rate is bathtub-shaped found in the Chen distribution. Therefore, the authors have studied the multicomponent stress-strength reliability under the Chen distribution by comparing the MLE and Bayes estimators. |
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Repositório Institucional da UNESP |
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2946 |
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Estimation of reliability of multicomponent stress-strength of a bathtub shape or increasing failure rate functionBayesian estimationMaximum likelihood estimationStress-strengthChen distributionReliability of multicomponentPurpose The purpose of this paper is to deal with the Bayesian and non-Bayesian estimation methods of multicomponent stress-strength reliability by assuming the Chen distribution. Design/methodology/approach The reliability of a multicomponent stress-strength system is obtained by the maximum likelihood (MLE) and Bayesian methods and the results are compared by using MCMC technique for both small and large samples. Findings The simulation study shows that Bayes estimates based on gamma prior with absence of prior information performs little better than the MLE with regard to both biases and mean squared errors. The Bayes credible intervals for reliability are also shorter length with competitive coverage percentages than the condence intervals. Further, the coverage probability is quite close to the nominal value in all sets of parameters when both sample sizes n and m increases. Originality/value The lifetime distributions used in reliability analysis as exponential, gamma, lognormal and Weibull only exhibit monotonically increasing, decreasing or constant hazard rates. However, in many applications in reliability and survival analysis, the most realistic hazard rate is bathtub-shaped found in the Chen distribution. Therefore, the authors have studied the multicomponent stress-strength reliability under the Chen distribution by comparing the MLE and Bayes estimators.St Anthony Coll, Dept Stat, Shillong, Meghalaya, IndiaUniv Estadual Paulista Portal, Dept Stat, Presidente Prudente, BrazilUniv Estadual Paulista Portal, Dept Stat, Presidente Prudente, BrazilEmerald Group Publishing LtdSt Anthony CollUniversidade Estadual Paulista (Unesp)Dey, SankuMoala, Fernando Antonio [UNESP]2019-10-04T12:35:41Z2019-10-04T12:35:41Z2019-02-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article122-136http://dx.doi.org/10.1108/IJQRM-01-2017-0012International Journal Of Quality & Reliability Management. Bingley: Emerald Group Publishing Ltd, v. 36, n. 2, p. 122-136, 2019.0265-671Xhttp://hdl.handle.net/11449/18546710.1108/IJQRM-01-2017-0012WOS:00045929510000116212695523666970000-0002-2445-0407Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal Of Quality & Reliability Managementinfo:eu-repo/semantics/openAccess2024-06-18T18:18:15Zoai:repositorio.unesp.br:11449/185467Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:34:33.896024Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Estimation of reliability of multicomponent stress-strength of a bathtub shape or increasing failure rate function |
title |
Estimation of reliability of multicomponent stress-strength of a bathtub shape or increasing failure rate function |
spellingShingle |
Estimation of reliability of multicomponent stress-strength of a bathtub shape or increasing failure rate function Dey, Sanku Bayesian estimation Maximum likelihood estimation Stress-strength Chen distribution Reliability of multicomponent |
title_short |
Estimation of reliability of multicomponent stress-strength of a bathtub shape or increasing failure rate function |
title_full |
Estimation of reliability of multicomponent stress-strength of a bathtub shape or increasing failure rate function |
title_fullStr |
Estimation of reliability of multicomponent stress-strength of a bathtub shape or increasing failure rate function |
title_full_unstemmed |
Estimation of reliability of multicomponent stress-strength of a bathtub shape or increasing failure rate function |
title_sort |
Estimation of reliability of multicomponent stress-strength of a bathtub shape or increasing failure rate function |
author |
Dey, Sanku |
author_facet |
Dey, Sanku Moala, Fernando Antonio [UNESP] |
author_role |
author |
author2 |
Moala, Fernando Antonio [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
St Anthony Coll Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Dey, Sanku Moala, Fernando Antonio [UNESP] |
dc.subject.por.fl_str_mv |
Bayesian estimation Maximum likelihood estimation Stress-strength Chen distribution Reliability of multicomponent |
topic |
Bayesian estimation Maximum likelihood estimation Stress-strength Chen distribution Reliability of multicomponent |
description |
Purpose The purpose of this paper is to deal with the Bayesian and non-Bayesian estimation methods of multicomponent stress-strength reliability by assuming the Chen distribution. Design/methodology/approach The reliability of a multicomponent stress-strength system is obtained by the maximum likelihood (MLE) and Bayesian methods and the results are compared by using MCMC technique for both small and large samples. Findings The simulation study shows that Bayes estimates based on gamma prior with absence of prior information performs little better than the MLE with regard to both biases and mean squared errors. The Bayes credible intervals for reliability are also shorter length with competitive coverage percentages than the condence intervals. Further, the coverage probability is quite close to the nominal value in all sets of parameters when both sample sizes n and m increases. Originality/value The lifetime distributions used in reliability analysis as exponential, gamma, lognormal and Weibull only exhibit monotonically increasing, decreasing or constant hazard rates. However, in many applications in reliability and survival analysis, the most realistic hazard rate is bathtub-shaped found in the Chen distribution. Therefore, the authors have studied the multicomponent stress-strength reliability under the Chen distribution by comparing the MLE and Bayes estimators. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-10-04T12:35:41Z 2019-10-04T12:35:41Z 2019-02-04 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1108/IJQRM-01-2017-0012 International Journal Of Quality & Reliability Management. Bingley: Emerald Group Publishing Ltd, v. 36, n. 2, p. 122-136, 2019. 0265-671X http://hdl.handle.net/11449/185467 10.1108/IJQRM-01-2017-0012 WOS:000459295100001 1621269552366697 0000-0002-2445-0407 |
url |
http://dx.doi.org/10.1108/IJQRM-01-2017-0012 http://hdl.handle.net/11449/185467 |
identifier_str_mv |
International Journal Of Quality & Reliability Management. Bingley: Emerald Group Publishing Ltd, v. 36, n. 2, p. 122-136, 2019. 0265-671X 10.1108/IJQRM-01-2017-0012 WOS:000459295100001 1621269552366697 0000-0002-2445-0407 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
International Journal Of Quality & Reliability Management |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
122-136 |
dc.publisher.none.fl_str_mv |
Emerald Group Publishing Ltd |
publisher.none.fl_str_mv |
Emerald Group Publishing Ltd |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129221964333056 |