A new cure rate frailty regression model based on a weighted Lindley distribution applied to stomach cancer data

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dc.contributor.authorMota, Alex
dc.contributor.authorMilani, Eder A.
dc.contributor.authorLeao, Jeremias
dc.contributor.authorRamos, Pedro L.
dc.contributor.authorFerreira, Paulo H.
dc.contributor.authorJunior, Oilson G.
dc.contributor.authorTomazella, Vera L. D.
dc.contributor.authorLouzada, Francisco
dc.date.accessioned2025-01-20T20:20:20Z
dc.date.available2025-01-20T20:20:20Z
dc.date.issued2023
dc.description.abstractIn this paper, we propose a new cure rate frailty regression model based on a two-parameter weighted Lindley distribution. The weighted Lindley distribution has attractive properties such as flexibility on its probability density function, Laplace transform function on closed-form, among others. An advantage of proposed model is the possibility to jointly model the heterogeneity among patients by their frailties and the presence of a cured fraction of them. To make the model parameters identifiable, we consider a reparameterized version of the weighted Lindley distribution with unit mean as frailty distribution. The proposed model is very flexible in sense that has some traditional cure rate models as special cases. The statistical inference for the model's parameters is discussed in detail using the maximum likelihood estimation under random right-censoring. Further, we present a Monte Carlo simulation study to verify the maximum likelihood estimators' behavior assuming different sample sizes and censoring proportions. Finally, the new model describes the lifetime of 22,148 patients with stomach cancer, obtained from the Fundacao Oncocentro de Sao Paulo, Brazil.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s10260-022-00673-y
dc.identifier.eissn1613-981X
dc.identifier.issn1618-2510
dc.identifier.urihttps://doi.org/10.1007/s10260-022-00673-y
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/92573
dc.identifier.wosidWOS:000886122700001
dc.issue.numero3
dc.language.isoen
dc.pagina.final909
dc.pagina.inicio883
dc.revistaStatistical methods and applications
dc.rightsacceso restringido
dc.subjectCure rate model
dc.subjectFrailty
dc.subjectMaximum likelihood estimation
dc.subjectRandomized residual analysis
dc.subjectWeighted Lindley distribution
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleA new cure rate frailty regression model based on a weighted Lindley distribution applied to stomach cancer data
dc.typeartículo
dc.volumen32
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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