Objective bayesian analysis for multiple repairable systems.

This article focus on the analysis of the reliability of multiple identical systems that can have multiple failures over time. A repairable system is defined as a system that can be restored to operating state in the event of a failure. This work under minimal repair, it is assumed that the failure...

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Main Authors:	Amanda M E D'Andrea, Vera L D Tomazella, Hassan M Aljohani, Pedro L Ramos, Marco P Almeida, Francisco Louzada, Bruna A W Verssani, Amanda B Gazon, Ahmed Z Afify
Format:	article
Language:	EN
Published:	Public Library of Science (PLoS) 2021
Subjects:	Medicine R Science Q
Online Access:	https://doaj.org/article/f3a8509b4c48473c9e9605e7ae6b5c0c
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id	oai:doaj.org-article:f3a8509b4c48473c9e9605e7ae6b5c0c
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spelling	oai:doaj.org-article:f3a8509b4c48473c9e9605e7ae6b5c0c2021-12-02T20:16:15ZObjective bayesian analysis for multiple repairable systems.1932-620310.1371/journal.pone.0258581https://doaj.org/article/f3a8509b4c48473c9e9605e7ae6b5c0c2021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0258581https://doaj.org/toc/1932-6203This article focus on the analysis of the reliability of multiple identical systems that can have multiple failures over time. A repairable system is defined as a system that can be restored to operating state in the event of a failure. This work under minimal repair, it is assumed that the failure has a power law intensity and the Bayesian approach is used to estimate the unknown parameters. The Bayesian estimators are obtained using two objective priors know as Jeffreys and reference priors. We proved that obtained reference prior is also a matching prior for both parameters, i.e., the credibility intervals have accurate frequentist coverage, while the Jeffreys prior returns unbiased estimates for the parameters. To illustrate the applicability of our Bayesian estimators, a new data set related to the failures of Brazilian sugar cane harvesters is considered.Amanda M E D'AndreaVera L D TomazellaHassan M AljohaniPedro L RamosMarco P AlmeidaFrancisco LouzadaBruna A W VerssaniAmanda B GazonAhmed Z AfifyPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 11, p e0258581 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Amanda M E D'Andrea Vera L D Tomazella Hassan M Aljohani Pedro L Ramos Marco P Almeida Francisco Louzada Bruna A W Verssani Amanda B Gazon Ahmed Z Afify Objective bayesian analysis for multiple repairable systems.
description	This article focus on the analysis of the reliability of multiple identical systems that can have multiple failures over time. A repairable system is defined as a system that can be restored to operating state in the event of a failure. This work under minimal repair, it is assumed that the failure has a power law intensity and the Bayesian approach is used to estimate the unknown parameters. The Bayesian estimators are obtained using two objective priors know as Jeffreys and reference priors. We proved that obtained reference prior is also a matching prior for both parameters, i.e., the credibility intervals have accurate frequentist coverage, while the Jeffreys prior returns unbiased estimates for the parameters. To illustrate the applicability of our Bayesian estimators, a new data set related to the failures of Brazilian sugar cane harvesters is considered.
format	article
author	Amanda M E D'Andrea Vera L D Tomazella Hassan M Aljohani Pedro L Ramos Marco P Almeida Francisco Louzada Bruna A W Verssani Amanda B Gazon Ahmed Z Afify
author_facet	Amanda M E D'Andrea Vera L D Tomazella Hassan M Aljohani Pedro L Ramos Marco P Almeida Francisco Louzada Bruna A W Verssani Amanda B Gazon Ahmed Z Afify
author_sort	Amanda M E D'Andrea
title	Objective bayesian analysis for multiple repairable systems.
title_short	Objective bayesian analysis for multiple repairable systems.
title_full	Objective bayesian analysis for multiple repairable systems.
title_fullStr	Objective bayesian analysis for multiple repairable systems.
title_full_unstemmed	Objective bayesian analysis for multiple repairable systems.
title_sort	objective bayesian analysis for multiple repairable systems.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/f3a8509b4c48473c9e9605e7ae6b5c0c
work_keys_str_mv	AT amandamedandrea objectivebayesiananalysisformultiplerepairablesystems AT veraldtomazella objectivebayesiananalysisformultiplerepairablesystems AT hassanmaljohani objectivebayesiananalysisformultiplerepairablesystems AT pedrolramos objectivebayesiananalysisformultiplerepairablesystems AT marcopalmeida objectivebayesiananalysisformultiplerepairablesystems AT franciscolouzada objectivebayesiananalysisformultiplerepairablesystems AT brunaawverssani objectivebayesiananalysisformultiplerepairablesystems AT amandabgazon objectivebayesiananalysisformultiplerepairablesystems AT ahmedzafify objectivebayesiananalysisformultiplerepairablesystems
_version_	1718374560255967232

Objective bayesian analysis for multiple repairable systems.

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