Weighted Lindley frailty model: estimation and application to lung cancer data

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dc.contributor.authorMota, Alex
dc.contributor.authorMilani, Eder A.
dc.contributor.authorCalsavara, Vinicius F.
dc.contributor.authorTomazella, Vera L. D.
dc.contributor.authorLeao, Jeremias
dc.contributor.authorRamos, Pedro L.
dc.contributor.authorFerreira, Paulo H.
dc.contributor.authorLouzada, Francisco
dc.date.accessioned2025-01-20T22:12:53Z
dc.date.available2025-01-20T22:12:53Z
dc.date.issued2021
dc.description.abstractIn this paper, we propose a novel frailty model for modeling unobserved heterogeneity present in survival data. Our model is derived by using a weighted Lindley distribution as the frailty distribution. The respective frailty distribution has a simple Laplace transform function which is useful to obtain marginal survival and hazard functions. We assume hazard functions of the Weibull and Gompertz distributions as the baseline hazard functions. A classical inference procedure based on the maximum likelihood method is presented. Extensive simulation studies are further performed to verify the behavior of maximum likelihood estimators under different proportions of right-censoring and to assess the performance of the likelihood ratio test to detect unobserved heterogeneity in different sample sizes. Finally, to demonstrate the applicability of the proposed model, we use it to analyze a medical dataset from a population-based study of incident cases of lung cancer diagnosed in the state of Sao Paulo, Brazil.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s10985-021-09529-1
dc.identifier.eissn1572-9249
dc.identifier.issn1380-7870
dc.identifier.urihttps://doi.org/10.1007/s10985-021-09529-1
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/94437
dc.identifier.wosidWOS:000679600400001
dc.issue.numero4
dc.language.isoen
dc.pagina.final587
dc.pagina.inicio561
dc.revistaLifetime data analysis
dc.rightsacceso restringido
dc.subjectLung cancer
dc.subjectMaximum likelihood method
dc.subjectUnobserved heterogeneity
dc.subjectWeighted Lindley distribution
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleWeighted Lindley frailty model: estimation and application to lung cancer data
dc.typeartículo
dc.volumen27
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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