A Simulation of Data Censored Rigth Type I with Weibull Distribution
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.19/7918 |
Resumo: | In the maintenance and reliability field, there are frequent analyses with data being censored. In reliability research, many articles do simulation, but few explain how they do it. the loss of information resulting from the unavailable exact failure times will impact negatively the efficiency of reliability analysis. This paper presents four different algorithms to generate random data with a different number of censored values. The four algorithms are compared, and tree parameters are used to select the best one. The Weibull distribution is used to generate the random numbers because it is one of the most used in reliability studies. The results of the algorithm chosen are very relevant; with a sample of n = 50 and a number of cycles of simulations m = 1000, the standard deviation is higher when the shape factor of Weibull distribution is beta = 0.5 and slowly decreases until the shape factor equals 5. The percentage error (PE), one of the indicators selected, is much higher when the percentage of censored data is c = 5%, then goes down when the shape factor increases. There is a different behaviour when censored data is C = 20% and the percentage error (PE) is higher when shape factor is beta = 1.5. This article presents an algorithm that it considers the best for simulating right-censored type-I data. The algorithm has excellent accuracy, random data i.i.d and excellent computational performance. |
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A Simulation of Data Censored Rigth Type I with Weibull DistributionReliabilityWeibull distributionAlgorithm simulationData censoredIn the maintenance and reliability field, there are frequent analyses with data being censored. In reliability research, many articles do simulation, but few explain how they do it. the loss of information resulting from the unavailable exact failure times will impact negatively the efficiency of reliability analysis. This paper presents four different algorithms to generate random data with a different number of censored values. The four algorithms are compared, and tree parameters are used to select the best one. The Weibull distribution is used to generate the random numbers because it is one of the most used in reliability studies. The results of the algorithm chosen are very relevant; with a sample of n = 50 and a number of cycles of simulations m = 1000, the standard deviation is higher when the shape factor of Weibull distribution is beta = 0.5 and slowly decreases until the shape factor equals 5. The percentage error (PE), one of the indicators selected, is much higher when the percentage of censored data is c = 5%, then goes down when the shape factor increases. There is a different behaviour when censored data is C = 20% and the percentage error (PE) is higher when shape factor is beta = 1.5. This article presents an algorithm that it considers the best for simulating right-censored type-I data. The algorithm has excellent accuracy, random data i.i.d and excellent computational performance.IEEE345 E 47TH ST, NEW YORK, NY 10017 USARepositório Científico do Instituto Politécnico de ViseuGaspar, DanielAndrande Ferreira, Luis2023-09-12T09:21:14Z2022-112022-11-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.19/7918eng10.1109/ICSRS56243.2022.10067450info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-09-16T02:30:41Zoai:repositorio.ipv.pt:10400.19/7918Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:29:23.610180Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
A Simulation of Data Censored Rigth Type I with Weibull Distribution |
title |
A Simulation of Data Censored Rigth Type I with Weibull Distribution |
spellingShingle |
A Simulation of Data Censored Rigth Type I with Weibull Distribution Gaspar, Daniel Reliability Weibull distribution Algorithm simulation Data censored |
title_short |
A Simulation of Data Censored Rigth Type I with Weibull Distribution |
title_full |
A Simulation of Data Censored Rigth Type I with Weibull Distribution |
title_fullStr |
A Simulation of Data Censored Rigth Type I with Weibull Distribution |
title_full_unstemmed |
A Simulation of Data Censored Rigth Type I with Weibull Distribution |
title_sort |
A Simulation of Data Censored Rigth Type I with Weibull Distribution |
author |
Gaspar, Daniel |
author_facet |
Gaspar, Daniel Andrande Ferreira, Luis |
author_role |
author |
author2 |
Andrande Ferreira, Luis |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Repositório Científico do Instituto Politécnico de Viseu |
dc.contributor.author.fl_str_mv |
Gaspar, Daniel Andrande Ferreira, Luis |
dc.subject.por.fl_str_mv |
Reliability Weibull distribution Algorithm simulation Data censored |
topic |
Reliability Weibull distribution Algorithm simulation Data censored |
description |
In the maintenance and reliability field, there are frequent analyses with data being censored. In reliability research, many articles do simulation, but few explain how they do it. the loss of information resulting from the unavailable exact failure times will impact negatively the efficiency of reliability analysis. This paper presents four different algorithms to generate random data with a different number of censored values. The four algorithms are compared, and tree parameters are used to select the best one. The Weibull distribution is used to generate the random numbers because it is one of the most used in reliability studies. The results of the algorithm chosen are very relevant; with a sample of n = 50 and a number of cycles of simulations m = 1000, the standard deviation is higher when the shape factor of Weibull distribution is beta = 0.5 and slowly decreases until the shape factor equals 5. The percentage error (PE), one of the indicators selected, is much higher when the percentage of censored data is c = 5%, then goes down when the shape factor increases. There is a different behaviour when censored data is C = 20% and the percentage error (PE) is higher when shape factor is beta = 1.5. This article presents an algorithm that it considers the best for simulating right-censored type-I data. The algorithm has excellent accuracy, random data i.i.d and excellent computational performance. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-11 2022-11-01T00:00:00Z 2023-09-12T09:21:14Z |
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://hdl.handle.net/10400.19/7918 |
url |
http://hdl.handle.net/10400.19/7918 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1109/ICSRS56243.2022.10067450 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
IEEE345 E 47TH ST, NEW YORK, NY 10017 USA |
publisher.none.fl_str_mv |
IEEE345 E 47TH ST, NEW YORK, NY 10017 USA |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133561831292928 |