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Extending the Destructive Negative Binomial cure rate model with a latent activation scheme.

Grant number: 13/23684-2
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): March 01, 2014
Effective date (End): May 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics - Statistics
Principal researcher:Antonio Carlos Pedroso de Lima
Grantee:Diego Ignacio Gallardo Mateluna
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:12/21788-2 - Regression models and applications, AP.TEM
Associated scholarship(s):14/16829-7 - The power series Pareto IV cure rate model, BE.EP.PD


Usually, in survival models with cure rate is assumed an scheme based on competitive risks to the concurrent causes, i.e., the failure time of the system is given by the minimum of the times related to those causes (first activation scheme). Recently, Cancho et al. (2013) proposed the so-called Destructive Negative Binomial cure rate model with different activation schemes (additionally to the presented scheme, it is used a last activation scheme and a random activation scheme based on the Uniform distribution). This model is a generalization of some cure models discussed in the literature. Among them, we highlight the model of Berkson and Gage (1952), the model of Chen et al. (1999), the model assuming the Negative Binomial distribution for the concurrent causes proposed in Rodrigues et al. (2008) and the Destructive weighted Poisson cure rate models proposed in Rodrigues et al. (2011).This project consists in extend the model of Cancho et al. (2013) in two different ways. The first part in the context that the observations are grouped in clusters. For example, in the medical studies it is usual patients to be treated in different clinics. Thus, we propose to include two random effects associated for each clinic: one to account for the influence of each clinic on the susceptible individuals and other to explain the influence of each clinic on the cure rate.In the second part, we propose a new alternative to the activation scheme proposed in thework of Cancho et al. (2013), assuming the Binomial distribution to the number ofconcurrent causes related to the failures for the individuals.

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
GALLARDO, DIEGO I.; BOLFARINE, HELENO; PEDROSO-DE-LIMA, ANTONIO CARLOS. Destructive weighted Poisson cure rate models with bivariate random effects: Classical and Bayesian approaches. COMPUTATIONAL STATISTICS & DATA ANALYSIS, v. 98, p. 31-45, JUN 2016. Web of Science Citations: 1.
GALLARDO, DIEGO I.; BOLFARINE, HELENO. Two alternative estimation procedures for the negative binomial cure rate model with a latent activation scheme. SORT-Statistics and Operations Research Transactions, v. 40, n. 1, p. 31-54, JAN-JUN 2016. Web of Science Citations: 1.

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