A Modified Cure Rate Model Based on a Piecewise Distribution with Application to Lobular Carcinoma Data

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dc.contributor.authorYolanda M. Gómez
dc.contributor.authorJohn L. Santibañez
dc.contributor.authorVinicius F. Calsavara
dc.contributor.authorHéctor W. Gómez
dc.contributor.authorDiego I. Gallardo
dc.date.accessioned2026-03-25T12:18:28Z
dc.date.available2026-03-25T12:18:28Z
dc.date.issued2024
dc.description.abstractA novel cure rate model is introduced by considering, for the number of concurrent causes, the modified power series distribution and, for the time to event, the recently proposed power piecewise exponential distribution. This model includes a wide variety of cure rate models, such as binomial, Poisson, negative binomial, Haight, Borel, logarithmic, and restricted generalized Poisson. Some characteristics of the model are examined, and the estimation of parameters is performed using the Expectation–Maximization algorithm. A simulation study is presented to evaluate the performance of the estimators in finite samples. Finally, an application in a real medical dataset from a population-based study of incident cases of lobular carcinoma diagnosed in the state of São Paulo, Brazil, illustrates the advantages of the proposed model compared to other common cure rate models in the literature, particularly regarding the underestimation of the cure rate in other proposals and the improved precision in estimating the cure rate of our proposal.
dc.description.sponsorshipFondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) 11230397 NIH National Center for Advancing Translational Sciences UCLA CTSI UL1 TR001881
dc.identifier.doi10.3390/math12060883
dc.identifier.issn22277390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/674
dc.language.isoen
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.titleA Modified Cure Rate Model Based on a Piecewise Distribution with Application to Lobular Carcinoma Data
dc.typeArticle
oaire.citation.volume12
organization.identifier.rorUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Estadística y Ciencia de Datos
uantof.identificator.facultyFacultad de Ciencias Básicas
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