On Analyzing Non-Monotone Failure Data
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://doi.org/10.57805/revstat.v20i5.388 |
Resumo: | A new two-parameter distribution is defined for modeling non-monotone lifetime data. It is constructed based on the logistic-G family and the exponential distribution. Its hazard rate properties are different than those of the well-known distributions. Some of its statistical properties are presented. An extended regression based on the logarithm of the random variable of the introduced distribution is defined. The new regression can provide better fits than other special regressions for analyzing real data. The performance of the maximum likelihood estimates is investigated from a simulation study. Three lifetime data sets are used to prove empirically the usefulness of the new models. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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On Analyzing Non-Monotone Failure DataBathtub failure rateexponential distributionlogistic distributionmaximum likelihood estimationregression modelA new two-parameter distribution is defined for modeling non-monotone lifetime data. It is constructed based on the logistic-G family and the exponential distribution. Its hazard rate properties are different than those of the well-known distributions. Some of its statistical properties are presented. An extended regression based on the logarithm of the random variable of the introduced distribution is defined. The new regression can provide better fits than other special regressions for analyzing real data. The performance of the maximum likelihood estimates is investigated from a simulation study. Three lifetime data sets are used to prove empirically the usefulness of the new models.Statistics Portugal2023-02-27info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.57805/revstat.v20i5.388https://doi.org/10.57805/revstat.v20i5.388REVSTAT-Statistical Journal; Vol. 20 No. 5 (2022): REVSTAT-Statistical Journal; 633-654REVSTAT; Vol. 20 N.º 5 (2022): REVSTAT-Statistical Journal; 633-6542183-03711645-6726reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAPenghttps://revstat.ine.pt/index.php/REVSTAT/article/view/388https://revstat.ine.pt/index.php/REVSTAT/article/view/388/614Copyright (c) 2021 REVSTAT-Statistical Journalinfo:eu-repo/semantics/openAccessMansoor , MuhammadTahir , M. H.M. Cordeiro , GaussM.M. Ortega , EdwinAlzaatreh , Ayman2023-03-04T06:30:14Zoai:revstat:article/388Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:48:11.091375Repositório 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 |
On Analyzing Non-Monotone Failure Data |
title |
On Analyzing Non-Monotone Failure Data |
spellingShingle |
On Analyzing Non-Monotone Failure Data Mansoor , Muhammad Bathtub failure rate exponential distribution logistic distribution maximum likelihood estimation regression model |
title_short |
On Analyzing Non-Monotone Failure Data |
title_full |
On Analyzing Non-Monotone Failure Data |
title_fullStr |
On Analyzing Non-Monotone Failure Data |
title_full_unstemmed |
On Analyzing Non-Monotone Failure Data |
title_sort |
On Analyzing Non-Monotone Failure Data |
author |
Mansoor , Muhammad |
author_facet |
Mansoor , Muhammad Tahir , M. H. M. Cordeiro , Gauss M.M. Ortega , Edwin Alzaatreh , Ayman |
author_role |
author |
author2 |
Tahir , M. H. M. Cordeiro , Gauss M.M. Ortega , Edwin Alzaatreh , Ayman |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Mansoor , Muhammad Tahir , M. H. M. Cordeiro , Gauss M.M. Ortega , Edwin Alzaatreh , Ayman |
dc.subject.por.fl_str_mv |
Bathtub failure rate exponential distribution logistic distribution maximum likelihood estimation regression model |
topic |
Bathtub failure rate exponential distribution logistic distribution maximum likelihood estimation regression model |
description |
A new two-parameter distribution is defined for modeling non-monotone lifetime data. It is constructed based on the logistic-G family and the exponential distribution. Its hazard rate properties are different than those of the well-known distributions. Some of its statistical properties are presented. An extended regression based on the logarithm of the random variable of the introduced distribution is defined. The new regression can provide better fits than other special regressions for analyzing real data. The performance of the maximum likelihood estimates is investigated from a simulation study. Three lifetime data sets are used to prove empirically the usefulness of the new models. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-02-27 |
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 |
https://doi.org/10.57805/revstat.v20i5.388 https://doi.org/10.57805/revstat.v20i5.388 |
url |
https://doi.org/10.57805/revstat.v20i5.388 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://revstat.ine.pt/index.php/REVSTAT/article/view/388 https://revstat.ine.pt/index.php/REVSTAT/article/view/388/614 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2021 REVSTAT-Statistical Journal info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2021 REVSTAT-Statistical Journal |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Statistics Portugal |
publisher.none.fl_str_mv |
Statistics Portugal |
dc.source.none.fl_str_mv |
REVSTAT-Statistical Journal; Vol. 20 No. 5 (2022): REVSTAT-Statistical Journal; 633-654 REVSTAT; Vol. 20 N.º 5 (2022): REVSTAT-Statistical Journal; 633-654 2183-0371 1645-6726 reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799130952912338944 |