title: Destructive weighted Poisson cure rate models.
abstract: In this paper, we develop a flexible cure rate survival model by assuming the number of competing causes of the event of interest to follow a compound weighted Poisson distribution. This model is more flexible in terms of dispersion than the promotion time cure model. Moreover, it gives an interesting and realistic interpretation of the biological mechanism of the occurrence of event of interest as it includes a destructive process of the initial risk factors in a competitive scenario. In other words, what is recorded is only from the undamaged portion of the original number of risk factors.
authors.affiliation: Departamento de Estatística, Universidade Federal de São Carlos, Via Washington Luís, km 235, Caixa Postal 676, São Carlos, SP, 13565-905, Brazil. vjosemar@ufscar.br
authors.forename: Josemar
authors.initials: J
authors.lastname: Rodrigues
authors.forename: Mário
authors.initials: M
authors.lastname: de Castro
authors.forename: N
authors.initials: N
authors.lastname: Balakrishnan
authors.forename: Vicente G
authors.initials: VG
authors.lastname: Cancho
mesh_terms: D006801:Humans; D008545:Melanoma / Q000601:surgery; D008954:Models, Biological; D015233:Models, Statistical; D016012:Poisson Distribution; D016019:Survival Analysis