Proportional hazards models for survival data with long-term survivors

Xiaobing Zhao and Xian Zhou

Statistics & Probability Letters, 2006, vol. 76, issue 15, 1685-1693

Abstract: In this paper we study the Cox proportional hazards model for survival data in the presence of long-term survivors. Both semiparametric and full parametric versions of the Cox model are considered. Partial likelihood and full likelihood are used to obtain the estimators of the coefficients of covariates and the long-term survivor proportion. Their asymptotic properties are also derived based on counting process and martingale theory. Simulations are carried out to check and compare the performance of the estimators between semiparametric and full parametric models.

Keywords: Cox; proportional; hazards; model; Long-term; survivor; Maximum; likelihood; estimation; Partial; likelihood; Counting; process; Martingale (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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