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Analyzing left-truncated and right-censored data under Cox models with long-term survivors
Authors:Fei-peng Zhang  Yong Zhou
Institution:1215. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, 200433, China
2215. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
Abstract: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.
Keywords:semiparametric proportional hazards models  left-truncated and right-censored data  long-termsurvivors
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