Asymptotics on Semiparametric Analysis of Multivariate Failure Time Data Under the Additive Hazards Model  

作　　者：Huan-binLiu Liu-quanSun Li-xingZhu 

机构地区：[1]DepartmentofMathematics,HuanggangNormalUniversity,Huanggang438000,China [2]AcademyofMathematicsandSystemsSciences,ChineseAcademyofSciences,Beijing100080,China [3]AcademyofMathematicsandSystemsSciences,ChineseAcademyofSciences,Beijing100080,China//UniversityofHongKong,HongKong,China

出　　处：《Acta Mathematicae Applicatae Sinica》2005年第2期237-246,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10471140);Science Foundation of HUBEI (98j081);Scientific Research Great Project of Education Department of HUBEI (2002Z04001).supported by grants from Research Grants Council of

摘　　要：Many survival studies record the times to two or more distinct failures oneach subject. The failures may be events of different natures or may be repetitions of the same kindof event. In this article, we consider the regression analysis of such multivariate failure timedata under the additive hazards model. Simple weighted estimating functions for the regressionparameters are proposed, and asymptotic distribution theory of the resulting estimators are derived.In addition, a class of generalized Wald and generalized score statistics for hypothesis testingand model selection are presented, and the asymptotic properties of these statistics are examined.Many survival studies record the times to two or more distinct failures oneach subject. The failures may be events of different natures or may be repetitions of the same kindof event. In this article, we consider the regression analysis of such multivariate failure timedata under the additive hazards model. Simple weighted estimating functions for the regressionparameters are proposed, and asymptotic distribution theory of the resulting estimators are derived.In addition, a class of generalized Wald and generalized score statistics for hypothesis testingand model selection are presented, and the asymptotic properties of these statistics are examined.

关 键 词：Multivariate failure times additive hazards model CENSORING estimatingequation Wald test score test 

分 类 号：O212.1[理学—概率论与数理统计]