New generalized Nadarajah-Haghighi distributions in survival analysis

Detalhes bibliográficos
Autor(a) principal: PEÑA RAMÍREZ, Fernando Arturo
Data de Publicação: 2017
Tipo de documento: Tese
Idioma: eng
Título da fonte: Repositório Institucional da UFPE
dARK ID: ark:/64986/0013000012gnh
Texto Completo: https://repositorio.ufpe.br/handle/123456789/25300
Resumo: The interest in developing new continuous distributions a remain important in statistical analysis. This topic is also important in survival analysis and has been used in many applications in fields like biological sciences, economics, engineering, physics, social sciences, among others. One reason is that the time of life or survival time is a random variable which can take constant, decreasing, increasing, upside-down bathtub (unimodal) and bathtub-shaped hazard rate functions. These new models can be defined by adding parameters to an existing distribution and considering the compounding approach, among other techniques. In this thesis, we consider these methods to propose four new continuous distributions, namely the exponentiated generalized power Weibull, Nadarajah-Haghighi Lindley, Weibull Nadarajah-Haghighi and logistic Nadarajah-Haghighi distributions. We provide a comprehensive mathematical and statistical treatment of these distributions and illustrate their flexibility through applications to real data sets. They are useful alternatives to other classical lifetime models.
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spelling PEÑA RAMÍREZ, Fernando Arturohttp://lattes.cnpq.br/2373715935907436http://lattes.cnpq.br/3268732497595112CORDEIRO, Gauss Moutinho2018-07-31T21:51:01Z2018-07-31T21:51:01Z2017-05-30https://repositorio.ufpe.br/handle/123456789/25300ark:/64986/0013000012gnhThe interest in developing new continuous distributions a remain important in statistical analysis. This topic is also important in survival analysis and has been used in many applications in fields like biological sciences, economics, engineering, physics, social sciences, among others. One reason is that the time of life or survival time is a random variable which can take constant, decreasing, increasing, upside-down bathtub (unimodal) and bathtub-shaped hazard rate functions. These new models can be defined by adding parameters to an existing distribution and considering the compounding approach, among other techniques. In this thesis, we consider these methods to propose four new continuous distributions, namely the exponentiated generalized power Weibull, Nadarajah-Haghighi Lindley, Weibull Nadarajah-Haghighi and logistic Nadarajah-Haghighi distributions. We provide a comprehensive mathematical and statistical treatment of these distributions and illustrate their flexibility through applications to real data sets. They are useful alternatives to other classical lifetime models.CAPESA geração de novas distribuições contínuas constitui uma importante área de pesquisa em Estatística. Este tópico é, também, importante na área de análise de sobrevivência e tem aplicações em outros campos do conhecimento, tais como, ciências biológicas, economia, engenheria, física, ciências sociais, entre outras. Uma das razões para generalizar uma distribuição conhecida é que a função de risco em forma generalizada é mais flexível podendo assumir padrão constante, crescente, decrescente, banheira invertida (unimodal) e forma de banheira. Estes novos modelos podem ser definidos adicionando parâmetros usando como base uma distribuição já existente ou fazendo composição de duas ou mais distribuições, entre outras técnicas. Nesta tese, consideramos esses métodos para propor quatro novas distribuições contínuas: as distribuições exponentiated generalized power Weibull, Nadarajah-Haghighi Lindley, Weibull Nadarajah-Haghighi e logistic Nadarajah-Haghighi. Estudamos importantes propriedades matemáticas e estatísticas dessas distribuições e evidenciamos a flexibilidade delas por meio de aplicações usando conjuntos de dados reais. As quatro novas distribuições constituem uma alternativa competitiva para outras distribuições clássicas para descrever dados de sobrevivência.engUniversidade Federal de PernambucoPrograma de Pos Graduacao em EstatisticaUFPEBrasilAttribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/info:eu-repo/semantics/openAccessEstatística aplicadaProbabilidadeNew generalized Nadarajah-Haghighi distributions in survival analysisinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisdoutoradoreponame:Repositório Institucional da UFPEinstname:Universidade Federal de Pernambuco (UFPE)instacron:UFPETHUMBNAILTESE Fernando Arturo Peña Ramírez.pdf.jpgTESE Fernando Arturo Peña Ramírez.pdf.jpgGenerated Thumbnailimage/jpeg1222https://repositorio.ufpe.br/bitstream/123456789/25300/6/TESE%20Fernando%20Arturo%20Pe%c3%b1a%20Ram%c3%adrez.pdf.jpg5467cd7d7ff42ef5e5d7fa291f38cbcdMD56CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8811https://repositorio.ufpe.br/bitstream/123456789/25300/2/license_rdfe39d27027a6cc9cb039ad269a5db8e34MD52LICENSElicense.txtlicense.txttext/plain; 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dc.title.pt_BR.fl_str_mv New generalized Nadarajah-Haghighi distributions in survival analysis
title New generalized Nadarajah-Haghighi distributions in survival analysis
spellingShingle New generalized Nadarajah-Haghighi distributions in survival analysis
PEÑA RAMÍREZ, Fernando Arturo
Estatística aplicada
Probabilidade
title_short New generalized Nadarajah-Haghighi distributions in survival analysis
title_full New generalized Nadarajah-Haghighi distributions in survival analysis
title_fullStr New generalized Nadarajah-Haghighi distributions in survival analysis
title_full_unstemmed New generalized Nadarajah-Haghighi distributions in survival analysis
title_sort New generalized Nadarajah-Haghighi distributions in survival analysis
author PEÑA RAMÍREZ, Fernando Arturo
author_facet PEÑA RAMÍREZ, Fernando Arturo
author_role author
dc.contributor.authorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/2373715935907436
dc.contributor.advisorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/3268732497595112
dc.contributor.author.fl_str_mv PEÑA RAMÍREZ, Fernando Arturo
dc.contributor.advisor1.fl_str_mv CORDEIRO, Gauss Moutinho
contributor_str_mv CORDEIRO, Gauss Moutinho
dc.subject.por.fl_str_mv Estatística aplicada
Probabilidade
topic Estatística aplicada
Probabilidade
description The interest in developing new continuous distributions a remain important in statistical analysis. This topic is also important in survival analysis and has been used in many applications in fields like biological sciences, economics, engineering, physics, social sciences, among others. One reason is that the time of life or survival time is a random variable which can take constant, decreasing, increasing, upside-down bathtub (unimodal) and bathtub-shaped hazard rate functions. These new models can be defined by adding parameters to an existing distribution and considering the compounding approach, among other techniques. In this thesis, we consider these methods to propose four new continuous distributions, namely the exponentiated generalized power Weibull, Nadarajah-Haghighi Lindley, Weibull Nadarajah-Haghighi and logistic Nadarajah-Haghighi distributions. We provide a comprehensive mathematical and statistical treatment of these distributions and illustrate their flexibility through applications to real data sets. They are useful alternatives to other classical lifetime models.
publishDate 2017
dc.date.issued.fl_str_mv 2017-05-30
dc.date.accessioned.fl_str_mv 2018-07-31T21:51:01Z
dc.date.available.fl_str_mv 2018-07-31T21:51:01Z
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dc.publisher.none.fl_str_mv Universidade Federal de Pernambuco
dc.publisher.program.fl_str_mv Programa de Pos Graduacao em Estatistica
dc.publisher.initials.fl_str_mv UFPE
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