The Odd Log-Logistic Dagum Distribution: Properties and Applications

This paper introduces a new four-parameter lifetime model called the odd log-logistic Dagum distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive some structural properties of the model odd log-logistic Dagum such as order...

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Autores:
Domma, Filippo
Eftekharian, Abbas
Afify, Ahmed
Alizadeh, Morad
Ghosh, Indranil
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66494
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66494
http://bdigital.unal.edu.co/67522/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
distribución Dagum
familia Odd-Log-Logística
máxima verosimilitud
estadísticas de orden
Dagum Distribution
Maximum Likelihood
Odd Log-Logistic Family
Order Statistics
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Domma, Filippo3728c9e9-a70e-47bc-871e-2225d6997a10300Eftekharian, Abbas7ef58229-06c7-410f-ae1b-f07e27745eab300Afify, Ahmed8d4c32af-7558-4329-8f47-3a7cd31a8e92300Alizadeh, Morad9b981291-ba97-4ed9-8a5b-f3296771d406300Ghosh, Indranilfef56926-e9cc-4942-9485-ed888b8a7e683002019-07-03T02:14:18Z2019-07-03T02:14:18Z2018-01-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66494http://bdigital.unal.edu.co/67522/This paper introduces a new four-parameter lifetime model called the odd log-logistic Dagum distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive some structural properties of the model odd log-logistic Dagum such as order statistics and incomplete moments. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimation are discussed. We prove empirically the importance and flexibility of the new model in modeling real data.Este artículo introduce un nuevo modelo de sobrevida de cuatro parámetros llamado la distribución Odd Log-Logistica de Dagum. El nuevo modelo tiene la ventaja de ser capaz de modelar varias formas de envejecimiento y criterios de falla. Derivamos propiedades estructurales del modelo Odd Log-Logistica de Dagum tales como estadísticos de orden y momentos incompletos. El método de máxima verosimilitud es usado para estimar los parámetros del modelo. Se discuten resultados de algunas simulaciones, las cuales permitieron establecer la eficiencia del método de máxima verosimilitud. Probamos empíricamente la importancia y flexibilidad del nuevo modelo a través de un ejemplo en datos reales.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/66542Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaDomma, Filippo and Eftekharian, Abbas and Afify, Ahmed and Alizadeh, Morad and Ghosh, Indranil (2018) The Odd Log-Logistic Dagum Distribution: Properties and Applications. Revista Colombiana de Estadística, 41 (1). pp. 109-135. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / Statisticsdistribución Dagumfamilia Odd-Log-Logísticamáxima verosimilitudestadísticas de ordenDagum DistributionMaximum LikelihoodOdd Log-Logistic FamilyOrder StatisticsThe Odd Log-Logistic Dagum Distribution: Properties and ApplicationsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL66542-374332-1-PB.pdfapplication/pdf655877https://repositorio.unal.edu.co/bitstream/unal/66494/1/66542-374332-1-PB.pdf09fd198ba79e2c13f8e978a9e15c1f59MD51THUMBNAIL66542-374332-1-PB.pdf.jpg66542-374332-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5781https://repositorio.unal.edu.co/bitstream/unal/66494/2/66542-374332-1-PB.pdf.jpgba0ad1585ac2c4088e22b2060a40b32dMD52unal/66494oai:repositorio.unal.edu.co:unal/664942023-05-25 23:02:58.349Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv The Odd Log-Logistic Dagum Distribution: Properties and Applications
title The Odd Log-Logistic Dagum Distribution: Properties and Applications
spellingShingle The Odd Log-Logistic Dagum Distribution: Properties and Applications
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
distribución Dagum
familia Odd-Log-Logística
máxima verosimilitud
estadísticas de orden
Dagum Distribution
Maximum Likelihood
Odd Log-Logistic Family
Order Statistics
title_short The Odd Log-Logistic Dagum Distribution: Properties and Applications
title_full The Odd Log-Logistic Dagum Distribution: Properties and Applications
title_fullStr The Odd Log-Logistic Dagum Distribution: Properties and Applications
title_full_unstemmed The Odd Log-Logistic Dagum Distribution: Properties and Applications
title_sort The Odd Log-Logistic Dagum Distribution: Properties and Applications
dc.creator.fl_str_mv Domma, Filippo
Eftekharian, Abbas
Afify, Ahmed
Alizadeh, Morad
Ghosh, Indranil
dc.contributor.author.spa.fl_str_mv Domma, Filippo
Eftekharian, Abbas
Afify, Ahmed
Alizadeh, Morad
Ghosh, Indranil
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
topic 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
distribución Dagum
familia Odd-Log-Logística
máxima verosimilitud
estadísticas de orden
Dagum Distribution
Maximum Likelihood
Odd Log-Logistic Family
Order Statistics
dc.subject.proposal.spa.fl_str_mv distribución Dagum
familia Odd-Log-Logística
máxima verosimilitud
estadísticas de orden
Dagum Distribution
Maximum Likelihood
Odd Log-Logistic Family
Order Statistics
description This paper introduces a new four-parameter lifetime model called the odd log-logistic Dagum distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive some structural properties of the model odd log-logistic Dagum such as order statistics and incomplete moments. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimation are discussed. We prove empirically the importance and flexibility of the new model in modeling real data.
publishDate 2018
dc.date.issued.spa.fl_str_mv 2018-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:14:18Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:14:18Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv ISSN: 2389-8976
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66494
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67522/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66494
http://bdigital.unal.edu.co/67522/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/estad/article/view/66542
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística
Revista Colombiana de Estadística
dc.relation.references.spa.fl_str_mv Domma, Filippo and Eftekharian, Abbas and Afify, Ahmed and Alizadeh, Morad and Ghosh, Indranil (2018) The Odd Log-Logistic Dagum Distribution: Properties and Applications. Revista Colombiana de Estadística, 41 (1). pp. 109-135. ISSN 2389-8976
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística
institution Universidad Nacional de Colombia
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