Characterization of two competing risks models with Weibull risks

Competing risks are used to model life of systems with multiple failure modes where the observed failure is the minimum of the possible individual failures times. This research studies the effect ofignoring the risks by considering how well a single Weibull model approximates the competing risks mod...

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Autores:
Yáñez Canal, Sergio
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/55265
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/55265
http://bdigital.unal.edu.co/50605/
Palabra clave:
51 Matemáticas / Mathematics
62 Ingeniería y operaciones afines / Engineering
Probability plots
Log-location-scale family
Weibull distribution
Multivariate Weibull with dependence
Lognormal distribution
Kullback-Leibler information
Ignoring-mode-of-failure
Maximum likelihood
Gráficos de probabilidad
Familia de log-localización-escala
Distribución Weibull
Distribución Weibull multivariada con dependencia
Distribución lognormal
Información de Kullback-Leibler
Ignorar modo de falla
Máxima verosimilitud
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/55265
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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_abf2Escobar Restrepo, Luis AlbertoGonzález Álvarez, Nelfi GertrudisYáñez Canal, Sergio68717676-a8af-4913-8098-bd65cba17d5e3002019-07-02T11:16:40Z2019-07-02T11:16:40Z2015-08-07https://repositorio.unal.edu.co/handle/unal/55265http://bdigital.unal.edu.co/50605/Competing risks are used to model life of systems with multiple failure modes where the observed failure is the minimum of the possible individual failures times. This research studies the effect ofignoring the risks by considering how well a single Weibull model approximates the competing risks model with Weibull risks. As a first approach to the problem this is done for a model with Weibull independent risks and for a specific model with Weibull dependent risks. Ignoring the risks may or not have a strong effect in the competing risks model and it would be of interest to characterize situations where ignoring the risks can cause serious biases in the competing risks model. The objective is to characterize the effect of the risks and their interdependence in the competing risks model, when the risks are Weibull distributed. Some recommendations are given on the correct use of these models.Resumen: Los riesgos competitivos se usan para modelar sistemas de vida con múltiples modos de falla, donde la falla observada es el mínimo de los posibles tiempos de falla individuales. Esta investigación estudia el efecto de ignorar los riesgos considerando la bondad con que un solo modelo Weibull aproxima el modelo de riesgos competitivos con riesgos Weibull. Como un primer acercamiento al problema se analizan un modelo con riegos Weibull independientes y otro particular con riesgos Weibull dependientes. El ignorar los riesgos puede o no tener efectos fuertes en los modelos de riesgos competitivos y sería de interés caracterizar situaciones donde el ignorar los riesgos puede causar serios sesgos en los modelos de riesgos competitivos. El objetivo es caracterizar el efecto de los riesgos y su interdependencia en el modelo de riesgos competitivos, cuando los riesgos se distribuyen Weibull. Se dan algunas recomendaciones sobre el correcto uso de esos modelos.Doctoradoapplication/pdfspaUniversidad Nacional de Colombia Sede Medellín Facultad de Ciencias Escuela de EstadísticaEscuela de EstadísticaYáñez Canal, Sergio (2015) Characterization of two competing risks models with Weibull risks. Doctorado thesis, Universidad Nacional de Colombia - Sede Medellín.51 Matemáticas / Mathematics62 Ingeniería y operaciones afines / EngineeringProbability plotsLog-location-scale familyWeibull distributionMultivariate Weibull with dependenceLognormal distributionKullback-Leibler informationIgnoring-mode-of-failureMaximum likelihoodGráficos de probabilidadFamilia de log-localización-escalaDistribución WeibullDistribución Weibull multivariada con dependenciaDistribución lognormalInformación de Kullback-LeiblerIgnorar modo de fallaMáxima verosimilitudCharacterization of two competing risks models with Weibull risksTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_db06Texthttp://purl.org/redcol/resource_type/TDORIGINAL8351473.2015.pdfTesis de Doctorado en Ciencias - Estadísticaapplication/pdf3331571https://repositorio.unal.edu.co/bitstream/unal/55265/1/8351473.2015.pdfab888166e2100a4ca81c8ff75589c480MD51THUMBNAIL8351473.2015.pdf.jpg8351473.2015.pdf.jpgGenerated Thumbnailimage/jpeg3866https://repositorio.unal.edu.co/bitstream/unal/55265/2/8351473.2015.pdf.jpgabb86f48eea9948a27499cb6f26bd17fMD52unal/55265oai:repositorio.unal.edu.co:unal/552652024-03-17 23:07:38.757Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Characterization of two competing risks models with Weibull risks
title Characterization of two competing risks models with Weibull risks
spellingShingle Characterization of two competing risks models with Weibull risks
51 Matemáticas / Mathematics
62 Ingeniería y operaciones afines / Engineering
Probability plots
Log-location-scale family
Weibull distribution
Multivariate Weibull with dependence
Lognormal distribution
Kullback-Leibler information
Ignoring-mode-of-failure
Maximum likelihood
Gráficos de probabilidad
Familia de log-localización-escala
Distribución Weibull
Distribución Weibull multivariada con dependencia
Distribución lognormal
Información de Kullback-Leibler
Ignorar modo de falla
Máxima verosimilitud
title_short Characterization of two competing risks models with Weibull risks
title_full Characterization of two competing risks models with Weibull risks
title_fullStr Characterization of two competing risks models with Weibull risks
title_full_unstemmed Characterization of two competing risks models with Weibull risks
title_sort Characterization of two competing risks models with Weibull risks
dc.creator.fl_str_mv Yáñez Canal, Sergio
dc.contributor.author.spa.fl_str_mv Yáñez Canal, Sergio
dc.contributor.spa.fl_str_mv Escobar Restrepo, Luis Alberto
González Álvarez, Nelfi Gertrudis
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
62 Ingeniería y operaciones afines / Engineering
topic 51 Matemáticas / Mathematics
62 Ingeniería y operaciones afines / Engineering
Probability plots
Log-location-scale family
Weibull distribution
Multivariate Weibull with dependence
Lognormal distribution
Kullback-Leibler information
Ignoring-mode-of-failure
Maximum likelihood
Gráficos de probabilidad
Familia de log-localización-escala
Distribución Weibull
Distribución Weibull multivariada con dependencia
Distribución lognormal
Información de Kullback-Leibler
Ignorar modo de falla
Máxima verosimilitud
dc.subject.proposal.spa.fl_str_mv Probability plots
Log-location-scale family
Weibull distribution
Multivariate Weibull with dependence
Lognormal distribution
Kullback-Leibler information
Ignoring-mode-of-failure
Maximum likelihood
Gráficos de probabilidad
Familia de log-localización-escala
Distribución Weibull
Distribución Weibull multivariada con dependencia
Distribución lognormal
Información de Kullback-Leibler
Ignorar modo de falla
Máxima verosimilitud
description Competing risks are used to model life of systems with multiple failure modes where the observed failure is the minimum of the possible individual failures times. This research studies the effect ofignoring the risks by considering how well a single Weibull model approximates the competing risks model with Weibull risks. As a first approach to the problem this is done for a model with Weibull independent risks and for a specific model with Weibull dependent risks. Ignoring the risks may or not have a strong effect in the competing risks model and it would be of interest to characterize situations where ignoring the risks can cause serious biases in the competing risks model. The objective is to characterize the effect of the risks and their interdependence in the competing risks model, when the risks are Weibull distributed. Some recommendations are given on the correct use of these models.
publishDate 2015
dc.date.issued.spa.fl_str_mv 2015-08-07
dc.date.accessioned.spa.fl_str_mv 2019-07-02T11:16:40Z
dc.date.available.spa.fl_str_mv 2019-07-02T11:16:40Z
dc.type.spa.fl_str_mv Trabajo de grado - Doctorado
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/doctoralThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_db06
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TD
format http://purl.org/coar/resource_type/c_db06
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/55265
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/50605/
url https://repositorio.unal.edu.co/handle/unal/55265
http://bdigital.unal.edu.co/50605/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Sede Medellín Facultad de Ciencias Escuela de Estadística
Escuela de Estadística
dc.relation.references.spa.fl_str_mv Yáñez Canal, Sergio (2015) Characterization of two competing risks models with Weibull risks. Doctorado thesis, Universidad Nacional de Colombia - Sede Medellín.
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
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/55265/1/8351473.2015.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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