The multivariate shared truncated normal frailty model with application to medical data

datacite.alternateIdentifier.citationScientific Reports, 15 (1), 2025
datacite.alternateIdentifier.doi10.1038/s41598-025-15903-y
datacite.alternateIdentifier.issn2045-2322
datacite.creatorGallardo, Diego Ignacio
datacite.creatorGómez, Yolanda M.
datacite.creatorSantibáñez, John L.
datacite.creatorVenegas, Osvaldo
datacite.creatorBourguignon, Marcelo
datacite.date2025
datacite.rightsAcceso abierto
datacite.subjectCox Model
datacite.subjectEm Algorithm
datacite.subjectExtrafrail Package
datacite.subjectFrailty Models
datacite.subjectKendall s
datacite.subjectKidney Disease
datacite.titleThe multivariate shared truncated normal frailty model with application to medical data
dc.date.accessioned2025-10-06T14:22:09Z
dc.date.available2025-10-06T14:22:09Z
dc.description.abstractA new multivariate shared frailty model based on the truncated normal distribution is proposed. For the basal distribution of failure times, we assume a parametric approach through the Weibull and piecewise exponential distributions and also a nonparametric approach. Similar to the traditional gamma frailty model, the Laplace transform, the hazard and survival functions of our proposal have a simple and closed form. In addition, the n-th derivative of the Laplace transform can be expressed recursively. Parameter estimation is performed by a classical approach through the EM algorithm. A simulation study is presented to demonstrate the consistency of the estimators in finite samples. Finally, two applications to medical data modelling the recurrence of infection in renal patients and patients with fibrosarcoma are presented to demonstrate the effectiveness of the model compared to other classical approaches in the literature. The computational implementation of the model is available in the extrafrail package of R. © 2025 Elsevier B.V., All rights reserved.
dc.formatPDF
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/6955
dc.language.isoen
dc.publisherSpringer Nature
dc.sourceScientific Reports
dspace.entity.typePublication
oaire.citationEdition2025
oaire.citationIssue1
oaire.citationTitleScientific Reports
oaire.citationVolume15
oaire.fundingReferenceCONICYT FONDECYT 11150055 (Regular)
oaire.fundingReferenceCONICYT PIA ACT1405
oaire.fundingReferenceCONICYT Becas Chile (Doctorado V.A.P.)
oaire.licenseConditionObra bajo licencia Creative Commons Atribución-No Comercial-Sin Derivadas 4.0 Internacional
oaire.licenseCondition.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
oaire.resourceTypeArtículo
oaire.resourceType.enArticle
uct.catalogadorjvu
uct.comunidadIngenieríaen_US
uct.departamentoDepartamento de Ciencias Matemáticas y Físicas
uct.facultadFacultad de Ingeniería
uct.indizacionScience Citation Index Expanded - SCIE
uct.indizacionScopus
uct.indizacionPubMed Central (PMC)
uct.indizacionPubMed
uct.indizacionDOAJ
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