THE COMPOSED ZERO TRUNCATED LINDLEY-POISSON DISTRIBUTION

Detalhes bibliográficos
Autor(a) principal: Santo, Ana Paula Jorge Do Espirito
Data de Publicação: 2016
Outros Autores: Mazucheli, Josmar
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/0101-7438.2016.036.03.0547
http://hdl.handle.net/11449/157573
Resumo: ABSTRACT In this paper, a new compounding distribution, named zero truncated Lindley-Poisson distribution is introduced. The probability density function, cumulative distribution function, survival function, failure rate function and quantiles expressions of it are provided. The parameters estimatives were obtained by six methods: maximum likelihood (MLE), ordinary least-squares (OLS), weighted least-squares (WLS), maximum product of spacings (MPS), Crame´r-von-Mises (CM) and Anderson-Darling (AD), and intensive simulation studies are conducted to evaluate the performance of parameter estimation. Some generalizations are also proposed. Application in a real data set is given and shows that the composed zero truncated Lindley-Poisson distribution provides better fit than the Lindley distribution and three of its generalizations. The paper is motivated by application in real data set and we hope this model may be able to attract wider applicability in survival and reliability.
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spelling THE COMPOSED ZERO TRUNCATED LINDLEY-POISSON DISTRIBUTIONcompoundingestimation methodsLindley distributionsurvival analysiszero truncated Poisson distributionABSTRACT In this paper, a new compounding distribution, named zero truncated Lindley-Poisson distribution is introduced. The probability density function, cumulative distribution function, survival function, failure rate function and quantiles expressions of it are provided. The parameters estimatives were obtained by six methods: maximum likelihood (MLE), ordinary least-squares (OLS), weighted least-squares (WLS), maximum product of spacings (MPS), Crame´r-von-Mises (CM) and Anderson-Darling (AD), and intensive simulation studies are conducted to evaluate the performance of parameter estimation. Some generalizations are also proposed. Application in a real data set is given and shows that the composed zero truncated Lindley-Poisson distribution provides better fit than the Lindley distribution and three of its generalizations. The paper is motivated by application in real data set and we hope this model may be able to attract wider applicability in survival and reliability.Universidade Estadual PaulistaUniversidade Estadual de MaringáUniversidade Estadual PaulistaSociedade Brasileira de Pesquisa OperacionalUniversidade Estadual Paulista (Unesp)Universidade Estadual de MaringáSanto, Ana Paula Jorge Do EspiritoMazucheli, Josmar2018-11-12T17:26:01Z2018-11-12T17:26:01Z2016-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article547-574application/pdfhttp://dx.doi.org/10.1590/0101-7438.2016.036.03.0547Pesquisa Operacional. Sociedade Brasileira de Pesquisa Operacional, v. 36, n. 3, p. 547-574, 2016.0101-7438http://hdl.handle.net/11449/15757310.1590/0101-7438.2016.036.03.0547S0101-74382016000300547S0101-74382016000300547.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPesquisa Operacional0,365info:eu-repo/semantics/openAccess2024-01-18T06:30:07Zoai:repositorio.unesp.br:11449/157573Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:22:07.230638Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv THE COMPOSED ZERO TRUNCATED LINDLEY-POISSON DISTRIBUTION
title THE COMPOSED ZERO TRUNCATED LINDLEY-POISSON DISTRIBUTION
spellingShingle THE COMPOSED ZERO TRUNCATED LINDLEY-POISSON DISTRIBUTION
Santo, Ana Paula Jorge Do Espirito
compounding
estimation methods
Lindley distribution
survival analysis
zero truncated Poisson distribution
title_short THE COMPOSED ZERO TRUNCATED LINDLEY-POISSON DISTRIBUTION
title_full THE COMPOSED ZERO TRUNCATED LINDLEY-POISSON DISTRIBUTION
title_fullStr THE COMPOSED ZERO TRUNCATED LINDLEY-POISSON DISTRIBUTION
title_full_unstemmed THE COMPOSED ZERO TRUNCATED LINDLEY-POISSON DISTRIBUTION
title_sort THE COMPOSED ZERO TRUNCATED LINDLEY-POISSON DISTRIBUTION
author Santo, Ana Paula Jorge Do Espirito
author_facet Santo, Ana Paula Jorge Do Espirito
Mazucheli, Josmar
author_role author
author2 Mazucheli, Josmar
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Estadual de Maringá
dc.contributor.author.fl_str_mv Santo, Ana Paula Jorge Do Espirito
Mazucheli, Josmar
dc.subject.por.fl_str_mv compounding
estimation methods
Lindley distribution
survival analysis
zero truncated Poisson distribution
topic compounding
estimation methods
Lindley distribution
survival analysis
zero truncated Poisson distribution
description ABSTRACT In this paper, a new compounding distribution, named zero truncated Lindley-Poisson distribution is introduced. The probability density function, cumulative distribution function, survival function, failure rate function and quantiles expressions of it are provided. The parameters estimatives were obtained by six methods: maximum likelihood (MLE), ordinary least-squares (OLS), weighted least-squares (WLS), maximum product of spacings (MPS), Crame´r-von-Mises (CM) and Anderson-Darling (AD), and intensive simulation studies are conducted to evaluate the performance of parameter estimation. Some generalizations are also proposed. Application in a real data set is given and shows that the composed zero truncated Lindley-Poisson distribution provides better fit than the Lindley distribution and three of its generalizations. The paper is motivated by application in real data set and we hope this model may be able to attract wider applicability in survival and reliability.
publishDate 2016
dc.date.none.fl_str_mv 2016-12-01
2018-11-12T17:26:01Z
2018-11-12T17:26:01Z
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://dx.doi.org/10.1590/0101-7438.2016.036.03.0547
Pesquisa Operacional. Sociedade Brasileira de Pesquisa Operacional, v. 36, n. 3, p. 547-574, 2016.
0101-7438
http://hdl.handle.net/11449/157573
10.1590/0101-7438.2016.036.03.0547
S0101-74382016000300547
S0101-74382016000300547.pdf
url http://dx.doi.org/10.1590/0101-7438.2016.036.03.0547
http://hdl.handle.net/11449/157573
identifier_str_mv Pesquisa Operacional. Sociedade Brasileira de Pesquisa Operacional, v. 36, n. 3, p. 547-574, 2016.
0101-7438
10.1590/0101-7438.2016.036.03.0547
S0101-74382016000300547
S0101-74382016000300547.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pesquisa Operacional
0,365
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 547-574
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Pesquisa Operacional
publisher.none.fl_str_mv Sociedade Brasileira de Pesquisa Operacional
dc.source.none.fl_str_mv SciELO
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129511674347520

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