Estimation of P(X < Y) stress-strength reliability measures for a class of asymmetric distributions : the case of three-parameter p-max stable laws

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversity of Brasilia, Department of Statistics-
Autor(es): dc.contributorUniversity of Brasilia, Department of Statistics-
Autor(es): dc.contributorUniversity of Brasilia, Department of Civil and Environmental Engineering-
Autor(es): dc.contributorUniversity of Brasilia, Gama Engineering College-
Autor(es): dc.creatorQuintino, Felipe Sousa-
Autor(es): dc.creatorRathie, Pushpa Narayan-
Autor(es): dc.creatorOzelim, Luan Carlos de Sena Monteiro-
Autor(es): dc.creatorFonseca, Tiago Alves da-
Data de aceite: dc.date.accessioned2025-03-18T18:08:33Z-
Data de disponibilização: dc.date.available2025-03-18T18:08:33Z-
Data de envio: dc.date.issued2024-10-20-
Data de envio: dc.date.issued2024-10-20-
Data de envio: dc.date.issued2023-
Fonte completa do material: dc.identifierhttp://repositorio.unb.br/handle/10482/50621-
Fonte completa do material: dc.identifierhttps:/doi.org/10.3390/sym16070837-
Fonte completa do material: dc.identifierhttps://orcid.org/0000-0003-0286-0541-
Fonte completa do material: dc.identifierhttps://orcid.org/0000-0002-9790-369X-
Fonte completa do material: dc.identifierhttps://orcid.org/0000-0002-2581-0486-
Fonte completa do material: dc.identifierhttps://orcid.org/0009-0004-5147-4393-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/942745-
Descrição: dc.descriptionAsymmetric distributions are frequently seen in real-world datasets due to a number of factors, such as sample biases and nonlinear interactions between the variables observed. Thus, in order to better characterize real-world phenomena, studying asymmetric distribution is of great interest. In this work, we derive stress–strength reliability formulas of the type P(X < Y) when both X and Y follow p-max stable laws with three parameters, which are inherently asymmetric. The new relations are given in terms of extreme-value H-functions and have been obtained under fewer parameter restrictions when compared to similar results in the literature. We estimate the parameters of the p-max stable laws by a stochastic optimization method and the stress–strength probability by a maximum likelihood procedure. The performance of the analytical models is evaluated through simulations and real-life dataset modeling.-
Descrição: dc.descriptionInstituto de Ciências Exatas (IE)-
Descrição: dc.descriptionDepartamento de Estatística (IE EST)-
Descrição: dc.descriptionFaculdade de Tecnologia (FT)-
Descrição: dc.descriptionDepartamento de Engenharia Civil e Ambiental (FT ENC)-
Descrição: dc.descriptionFaculdade de Ciências e Tecnologias em Engenharia (FCTE) – Campus UnB Gama-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherMDPI-
Direitos: dc.rightsAcesso Aberto-
Direitos: dc.rightsCopyright: © 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).-
Palavras-chave: dc.subjectConfiabilidade tensão-resistência-
Palavras-chave: dc.subjectDistribuições assimétricas-
Palavras-chave: dc.subjectProbabilidades-
Título: dc.titleEstimation of P(X < Y) stress-strength reliability measures for a class of asymmetric distributions : the case of three-parameter p-max stable laws-
Tipo de arquivo: dc.typelivro digital-
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