Analyzing Left-truncated and Right-censored Data under Cox Models with Long-term Survivors  

作　　者：Fei-peng ZHANG YONG ZHOU 

机构地区：[1]School of Statistics and Management, Shanghai University of Finance and Economics [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences

出　　处：《Acta Mathematicae Applicatae Sinica》2013年第2期241-252,共12页应用数学学报（英文版）

基　　金：Natural Science Funds for Distinguished Young Scholar (No. 70825004);Creative Research Groups of China (No. 10721101);Shanghai University of Finance and Economics Project 211 Phase Ⅲ;Shanghai Leading Academic Discipline Project (No. B803);Zhou's work was supported by Graduate Creation Funds of Shanghai University of Finance and Economics(No. CXJJ-2011-436)

摘　　要：We analyze left-truncated and right-censored data using Cox proportional hazard models with long-term survivors. The estimators of covariate coefficients and the long-term survivor proportion are obtained by the partial likelihood method, and their asymptotic properties are also established. Simulation studies demonstrate the performance of the proposed estimators, and an application to a real dataset is provided.We analyze left-truncated and right-censored data using Cox proportional hazard models with long-term survivors. The estimators of covariate coefficients and the long-term survivor proportion are obtained by the partial likelihood method, and their asymptotic properties are also established. Simulation studies demonstrate the performance of the proposed estimators, and an application to a real dataset is provided.

关 键 词：semiparametric proportional hazards models left-truncated and right-censored data long-termsurvivors 

分 类 号：O211.67[理学—概率论与数理统计]