A New Class of Survival Regression Models with Cure Fraction

Journal of Data Science

article

Edwin M. M. Ortega¹  Gladys D. C. Barriga²  Elizabeth M. Hashimoto¹  Gauss M. Cordeiro³ 

[1] Universidade de S˜ao Paulo;Universidade Estadual Paulista “J´ulio de Mesquita Filho”;Universidade Federal de Pernambuco

关键词: Cure fraction models;    generalized gamma distribution;    lifetime data;   

DOI  :  10.6339/JDS.2014.12(1).1152

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

In this paper, we propose a flexible cure rate survival model by as suming that the number of competing causes of the event of interest follows the negative binomial distribution and the time to event follows a generalized gamma distribution. We define the negative binomial-generalized gamma distribution, which can be used to model survival data. The new model in cludes as special cases some of the well-known cure rate models discussed in the literature. We consider a frequentist analysis and nonparametric boot strap for parameter estimation of a negative binomial-generalized gamma regression model with cure rate. Then, we derive the appropriate matri ces for assessing local influence on the parameter estimates under different perturbation schemes and present some ways to perform global influence analysis. Finally, we analyze a real data set from the medical area.

【 授权许可】

CC BY