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Article: A class of Bayesian shared gamma frailty models with multivariate failure time data

TitleA class of Bayesian shared gamma frailty models with multivariate failure time data
Authors
KeywordsAdditive hazards
Bayesian inference
Box-Cox transformation
Constrained parameter
Correlated survival data
Frailty model
Gibbs sampling
Issue Date2005
PublisherBlackwell Publishing Ltd. The Journal's web site is located at http://www.blackwellpublishing.com/journals/BIOM
Citation
Biometrics, 2005, v. 61 n. 1, p. 208-216 How to Cite?
AbstractFor multivariate failure time data, we propose a new class of shared gamma frailty models by imposing the Box-Cox transformation on the hazard function, and the product of the baseline hazard and the frailty. This novel class of models allows for a very broad range of shapes and relationships between the hazard and baseline hazard functions. It includes the well-known Cox gamma frailty model and a new additive gamma frailty model as two special cases. Due to the nonnegative hazard constraint, this shared gamma frailty model is computationally challenging in the Bayesian paradigm. The joint priors are constructed through a conditional-marginal specification, in which the conditional distribution is univariate, and it absorbs the nonlinear parameter constraints. The marginal part of the prior specification is free of constraints. The prior distributions allow us to easily compute the full conditionals needed for Gibbs sampling, while incorporating the constraints. This class of shared gamma frailty models is illustrated with a real dataset.
Persistent Identifierhttp://hdl.handle.net/10722/146559
ISSN
2015 Impact Factor: 1.36
2015 SCImago Journal Rankings: 1.906
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorYin, Gen_HK
dc.contributor.authorIbrahim, JGen_HK
dc.date.accessioned2012-05-02T08:37:00Z-
dc.date.available2012-05-02T08:37:00Z-
dc.date.issued2005en_HK
dc.identifier.citationBiometrics, 2005, v. 61 n. 1, p. 208-216en_HK
dc.identifier.issn0006-341Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/146559-
dc.description.abstractFor multivariate failure time data, we propose a new class of shared gamma frailty models by imposing the Box-Cox transformation on the hazard function, and the product of the baseline hazard and the frailty. This novel class of models allows for a very broad range of shapes and relationships between the hazard and baseline hazard functions. It includes the well-known Cox gamma frailty model and a new additive gamma frailty model as two special cases. Due to the nonnegative hazard constraint, this shared gamma frailty model is computationally challenging in the Bayesian paradigm. The joint priors are constructed through a conditional-marginal specification, in which the conditional distribution is univariate, and it absorbs the nonlinear parameter constraints. The marginal part of the prior specification is free of constraints. The prior distributions allow us to easily compute the full conditionals needed for Gibbs sampling, while incorporating the constraints. This class of shared gamma frailty models is illustrated with a real dataset.en_HK
dc.languageengen_US
dc.publisherBlackwell Publishing Ltd. The Journal's web site is located at http://www.blackwellpublishing.com/journals/BIOMen_HK
dc.relation.ispartofBiometricsen_HK
dc.subjectAdditive hazardsen_HK
dc.subjectBayesian inferenceen_HK
dc.subjectBox-Cox transformationen_HK
dc.subjectConstrained parameteren_HK
dc.subjectCorrelated survival dataen_HK
dc.subjectFrailty modelen_HK
dc.subjectGibbs samplingen_HK
dc.subject.meshAdolescenten_US
dc.subject.meshAdulten_US
dc.subject.meshBayes Theoremen_US
dc.subject.meshBiometryen_US
dc.subject.meshChilden_US
dc.subject.meshChild, Preschoolen_US
dc.subject.meshDiabetes Complications - Mortalityen_US
dc.subject.meshDiabetes Mellitus - Drug Therapy - Mortalityen_US
dc.subject.meshHumansen_US
dc.subject.meshInfanten_US
dc.subject.meshMiddle Ageden_US
dc.subject.meshModels, Statisticalen_US
dc.subject.meshSurvival Analysisen_US
dc.subject.meshTreatment Failureen_US
dc.titleA class of Bayesian shared gamma frailty models with multivariate failure time dataen_HK
dc.typeArticleen_HK
dc.identifier.emailYin, G: gyin@hku.hken_HK
dc.identifier.authorityYin, G=rp00831en_HK
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1111/j.0006-341X.2005.030826.xen_HK
dc.identifier.pmid15737095-
dc.identifier.scopuseid_2-s2.0-15044362958en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-15044362958&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume61en_HK
dc.identifier.issue1en_HK
dc.identifier.spage208en_HK
dc.identifier.epage216en_HK
dc.identifier.isiWOS:000227576600024-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridYin, G=8725807500en_HK
dc.identifier.scopusauthoridIbrahim, JG=7005341361en_HK
dc.identifier.citeulike110085-

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