A survival model for lifetime with long-term survivors and unobserved heterogeneity

作     者：Santo, Ana Paula J. do Espirito Cancho, Vicente G. Louzada, Francisco Ortega, Edwin M. M. 

作者机构：Univ Sao Paulo Inst Math Sci & Comp Sao Carlos SP Brazil Univ Sao Paulo ESALQ Piracicaba SP Brazil 

出 版 物：《BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS》 (Braz. J. Prob. Stat.)

年 卷 期：2022年第36卷第4期

页      面：692-703页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Conselho Nacional de Desenvolvimento Científico e Tecnológico  CNPq 

主　　题：  Discrete frailty model cure rate model proportional hazards EM algorithm 

摘      要：In this paper, we develop a new survival model induced by dis-crete frailty with Katz distribution. The new model encompasses as partic-ular cases the mixture cure rate model and promotion cure rate model and has a proportional hazards structure when the covariates are modeled through mean frailty. Furthermore, we construct a regression model to evaluate the ef-fects of covariates on both the cured fraction and risk of the event of interest. We discuss inference aspects of the proposed model in a classical approach, where an expectation maximization algorithm is developed to determine the maximum likelihood estimates of the models parameters. Finally, the model is fully illustrated with a dataset on cervical cancer.