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Analyzing left-truncated and right-censored data under Cox models with long-term survivors

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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.

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Authors and Affiliations

  1. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, 200433, China

    Fei-peng Zhang & Yong Zhou

  2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Yong Zhou

Authors
  1. Fei-peng Zhang
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  2. Yong Zhou
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Corresponding author

Correspondence to Fei-peng Zhang.

Additional information

Zhou’s work was supported by the following funding bodies: 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 and Shanghai Leading Academic Discipline Project (No. B803).

Zhang’s work was supported by Graduate Creation Funds of Shanghai University of Finance and Economics (No. CXJJ-2011-436).

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Zhang, Fp., Zhou, Y. Analyzing left-truncated and right-censored data under Cox models with long-term survivors. Acta Math. Appl. Sin. Engl. Ser. 29, 241–252 (2013). https://doi.org/10.1007/s10255-013-0215-5

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  • DOI: https://doi.org/10.1007/s10255-013-0215-5

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