摘要
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.
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.
基金
Supported by the MOE Project of Key Research Institute of Humanities and Social Sciences at Universities(16JJD910002)
supported by the State Key Program of National Natural Science Foundation of China(71331006)
the State Key Program in the Major Research Plan of National Natural Science Foundation of China(91546202)
National Center for Mathematics and Interdisciplinary Sciences(NCMIS)
Key Laboratory of RCSDS,AMSS,CAS(2008DP173182)
Innovative Research Team of Shanghai University of Finance and Economics(IRTSHUFE13122402)
