On proportional reversed failure rate class

Detalhes bibliográficos
Autor(a) principal: Oliveira, Paulo Eduardo
Data de Publicação: 2015
Outros Autores: Torrado, Nuria
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/30343
https://doi.org/10.1007/s00362-014-0620-8
Resumo: Motivated by the recent use of the proportional reversed failure rate in economics (rates of increase and elasticity, see Veres-Ferrer and Pavia (Stat Pap 55:275–284, 2014) and in reliability (stochastic comparisons among systems, see Khaledi et al. (J Stat Plan Inference 141:276–286, 2011), in this work, we investigate characterizations and closure properties of the decreasing proportional reversed failure rate (DPRFR) classes for continuous, nonnegative random variables. Among others, we prove that DPRFR distributions are closed under convolutions. In addition, we relate this class of distributions with the class of monotone failure rate, proportional failure rate and likelihood ratio distributions.
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spelling On proportional reversed failure rate classAgeing notionsClosure propertiesElasticity functioMotivated by the recent use of the proportional reversed failure rate in economics (rates of increase and elasticity, see Veres-Ferrer and Pavia (Stat Pap 55:275–284, 2014) and in reliability (stochastic comparisons among systems, see Khaledi et al. (J Stat Plan Inference 141:276–286, 2011), in this work, we investigate characterizations and closure properties of the decreasing proportional reversed failure rate (DPRFR) classes for continuous, nonnegative random variables. Among others, we prove that DPRFR distributions are closed under convolutions. In addition, we relate this class of distributions with the class of monotone failure rate, proportional failure rate and likelihood ratio distributions.This work was partially supported by the Centro de Matemática da Universidade de Coimbra (CMUC), funded by the European Regional Development Fund through the program COMPETE and by the Portuguese Government through the FCT— Fundação para a Ciência e a Tecnologia under the project PEst-C/MAT/UI0324/2013. The research of N. Torrado was supported by the Portuguese Government through the Fundação para a Ciência e a Tecnologia (FCT) under the grant SFRH/BPD/91832/2012 and partially by project of the Spanish Ministry of Education and Science (ECO2012-38442).Springer2015-11info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/30343http://hdl.handle.net/10316/30343https://doi.org/10.1007/s00362-014-0620-8eng0932-5026http://link.springer.com/article/10.1007%2Fs00362-014-0620-8metadata only accessinfo:eu-repo/semantics/openAccessOliveira, Paulo EduardoTorrado, Nuriareponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2021-10-06T10:25:54Zoai:estudogeral.uc.pt:10316/30343Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:21.131664Repositório 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 proportional reversed failure rate class
title On proportional reversed failure rate class
spellingShingle On proportional reversed failure rate class
Oliveira, Paulo Eduardo
Ageing notions
Closure properties
Elasticity functio
title_short On proportional reversed failure rate class
title_full On proportional reversed failure rate class
title_fullStr On proportional reversed failure rate class
title_full_unstemmed On proportional reversed failure rate class
title_sort On proportional reversed failure rate class
author Oliveira, Paulo Eduardo
author_facet Oliveira, Paulo Eduardo
Torrado, Nuria
author_role author
author2 Torrado, Nuria
author2_role author
dc.contributor.author.fl_str_mv Oliveira, Paulo Eduardo
Torrado, Nuria
dc.subject.por.fl_str_mv Ageing notions
Closure properties
Elasticity functio
topic Ageing notions
Closure properties
Elasticity functio
description Motivated by the recent use of the proportional reversed failure rate in economics (rates of increase and elasticity, see Veres-Ferrer and Pavia (Stat Pap 55:275–284, 2014) and in reliability (stochastic comparisons among systems, see Khaledi et al. (J Stat Plan Inference 141:276–286, 2011), in this work, we investigate characterizations and closure properties of the decreasing proportional reversed failure rate (DPRFR) classes for continuous, nonnegative random variables. Among others, we prove that DPRFR distributions are closed under convolutions. In addition, we relate this class of distributions with the class of monotone failure rate, proportional failure rate and likelihood ratio distributions.
publishDate 2015
dc.date.none.fl_str_mv 2015-11
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/10316/30343
http://hdl.handle.net/10316/30343
https://doi.org/10.1007/s00362-014-0620-8
url http://hdl.handle.net/10316/30343
https://doi.org/10.1007/s00362-014-0620-8
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0932-5026
http://link.springer.com/article/10.1007%2Fs00362-014-0620-8
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dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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