Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocks

Detalhes bibliográficos
Autor(a) principal: Abdolahi , Molod
Data de Publicação: 2023
Outros Autores: Parham , Gholamali, Chinipardaz , Rahim
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.v21i1.408
Resumo: In this paper, we discuss stochastic comparisons of lifetimes of series and parallel systems when the components are exponentiated location-scale models under random shocks. The results established here are developed in two directions. First, the comparisons are carried out with respect to usual stochastic ordering by using the concept of vector majorization for series and parallel systems. Next, when the matrix of parameters changes to another matrix of parameters in the sense of multivariate chain majorization, we study the usual stochastic order of the smallest order statistics when each component receives a random shock.
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spelling Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocksexponentiated location-scale familymatrix majorizationrandom shockusual stochastic ordervector majorizationIn this paper, we discuss stochastic comparisons of lifetimes of series and parallel systems when the components are exponentiated location-scale models under random shocks. The results established here are developed in two directions. First, the comparisons are carried out with respect to usual stochastic ordering by using the concept of vector majorization for series and parallel systems. Next, when the matrix of parameters changes to another matrix of parameters in the sense of multivariate chain majorization, we study the usual stochastic order of the smallest order statistics when each component receives a random shock.Statistics Portugal2023-05-26info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.57805/revstat.v21i1.408https://doi.org/10.57805/revstat.v21i1.408REVSTAT-Statistical Journal; Vol. 21 No. 1 (2023): REVSTAT-Statistical Journal; 115 -141REVSTAT; Vol. 21 N.º 1 (2023): REVSTAT-Statistical Journal; 115 -1412183-03711645-6726reponame: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/408https://revstat.ine.pt/index.php/REVSTAT/article/view/408/631Copyright (c) 2021 REVSTAT-Statistical Journalinfo:eu-repo/semantics/openAccessAbdolahi , MolodParham , GholamaliChinipardaz , Rahim2023-05-27T06:30:15Zoai:revstat:article/408Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:56:25.780326Repositório 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 Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocks
title Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocks
spellingShingle Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocks
Abdolahi , Molod
exponentiated location-scale family
matrix majorization
random shock
usual stochastic order
vector majorization
title_short Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocks
title_full Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocks
title_fullStr Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocks
title_full_unstemmed Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocks
title_sort Ordering Properties of the Smallest and Largest Order Statistics from Exponentiated Location-Scale Models Under Random Shocks
author Abdolahi , Molod
author_facet Abdolahi , Molod
Parham , Gholamali
Chinipardaz , Rahim
author_role author
author2 Parham , Gholamali
Chinipardaz , Rahim
author2_role author
author
dc.contributor.author.fl_str_mv Abdolahi , Molod
Parham , Gholamali
Chinipardaz , Rahim
dc.subject.por.fl_str_mv exponentiated location-scale family
matrix majorization
random shock
usual stochastic order
vector majorization
topic exponentiated location-scale family
matrix majorization
random shock
usual stochastic order
vector majorization
description In this paper, we discuss stochastic comparisons of lifetimes of series and parallel systems when the components are exponentiated location-scale models under random shocks. The results established here are developed in two directions. First, the comparisons are carried out with respect to usual stochastic ordering by using the concept of vector majorization for series and parallel systems. Next, when the matrix of parameters changes to another matrix of parameters in the sense of multivariate chain majorization, we study the usual stochastic order of the smallest order statistics when each component receives a random shock.
publishDate 2023
dc.date.none.fl_str_mv 2023-05-26
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.v21i1.408
https://doi.org/10.57805/revstat.v21i1.408
url https://doi.org/10.57805/revstat.v21i1.408
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revstat.ine.pt/index.php/REVSTAT/article/view/408
https://revstat.ine.pt/index.php/REVSTAT/article/view/408/631
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. 21 No. 1 (2023): REVSTAT-Statistical Journal; 115 -141
REVSTAT; Vol. 21 N.º 1 (2023): REVSTAT-Statistical Journal; 115 -141
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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