Analyzing right-censored length-biased data with additive hazards model |
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Authors: | Mu Zhao Cun-jie Lin Yong Zhou |
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Institution: | 1.School of Statistics and Mathematics,Zhongnan University of Economics and Law,Wuhan,China;2.Center for Applied Statistics,Renmin University of China,Beijing,China;3.School of Statistics,Renmin University of China,Beijing,China;4.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,China;5.School of Statistics and Management,Shanghai University of Finance and Economics,Shanghai,China |
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Abstract: | Length-biased data are often encountered in observational studies, when the survival times are left-truncated and right-censored and the truncation times follow a uniform distribution. In this article, we propose to analyze such data with the additive hazards model, which specifies that the hazard function is the sum of an arbitrary baseline hazard function and a regression function of covariates. We develop estimating equation approaches to estimate the regression parameters. The resultant estimators are shown to be consistent and asymptotically normal. Some simulation studies and a real data example are used to evaluate the finite sample properties of the proposed estimators. |
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