Continuous Auxiliary Covariate  in Additive Hazards Regression for Survival Data

SHI Xiao-Ping; LIU Yan-Yan; WU Yuan-Shan

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Continuous Auxiliary Covariate in Additive Hazards Regression for Survival Data

SHI Xiao-Ping 1, LIU Yan-Yan 2 * #, WU Yuan-Shan 3

1. School of Mathematics and Statistics, University of Wuhan, Wuhan 430072;School of Mathematics and System Sciences, University of Xinjiang, Urumqi 830046

2. School of Mathematics and Statistics, University of Wuhan, Wuhan 430072

3. School of Mathematics and Statistics, University of Wuhan, Wuhan 430072

*Correspondence author

#Submitted by

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Funding: Doctoral Fund of Ministry of Education ofChina (20110141110004) and Doctoral Fund of Ministry of Education ofChina （No.20110141120004）

Opened online: 8 February 2013

Accepted by: none

Citation: SHI Xiao-Ping, LIU Yan-Yan, WU Yuan-Shan.Continuous Auxiliary Covariate in Additive Hazards Regression for Survival Data[OL]. [ 8 February 2013] http://en.paper.edu.cn/en_releasepaper/content/4517124

The article consider the additive hazards regression analysis by utilizing continuousauxiliary covariate information to improve the efficiency of the statistical inference when the primary covariate is ascertained only for a randomly selected subsample. The article construct a martingale-based estimating equation for the regression parameter and establish the asymptotic consistency and normality of the resultant estimators.Simulation study shows that our proposed method can greatly improve the efficiency compared withthe estimator which discards the auxiliary covariate information in a variety of settings.A real example is also provided as an illustration.

Keywords:Additive hazards regression;Continuous Auxiliary covariate; Estimating equation; Kernel smoothing; Survival analysis.

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