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The Geometric Birnbaum-Saunders regression model with cure rate
Authors:Vicente G Cancho  Francisco LouzadaGladys DC Barriga
Institution:a Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, Avenida Trabalhador São-carlense, 400, 13566-590 São Carlos-SP, Brazil
b Univesidade Estadual Paulista “Julio de Mesquita filho”-FEB, Av. Eng. Luiz Edmundo C. Coube, 14-01, 17033-360 Bauru-SP, Brazil
Abstract:In this paper, we propose a cure rate survival model by assuming the number of competing causes of the event of interest follows the Geometric distribution and the time to event follow a Birnbaum Saunders distribution. We consider a frequentist analysis for parameter estimation of a Geometric Birnbaum Saunders model with cure rate. Finally, to analyze a data set from the medical area.
Keywords:Cure fraction models  Birnbaum Saunders distribution  Geometric distribution  Sensitivity analysis  Lifetime data
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