A General Additive-multiplicative Rates Model for Recurrent and Terminal Events  

作　　者：Xi-ming CHENG Fang-yuan KANG Jie ZHOU Xin WANG 

机构地区：[1]School of Applied Science,Beijing Information Science and Technology University [2]School of Mathematical Science,Capital Normal University

出　　处：《Acta Mathematicae Applicatae Sinica》2015年第4期1115-1130,共16页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.11371354);Young Elite Program of Beijing(YETP150);Science and Technology Project of Beijing Municipal Education Commission(KM201411232019)

摘　　要：Recurrent events data with a terminal event （e.g. death） often arise in clinical and observational studies. Most of existing models assume multiplicative covariate effects and model the conditional recurrent event rate given survival. In this article, we propose a general mSditive-multiplicative rates model for recurrent event data in the presence of a terminal event, where the terminal event stop the further occurrence of recurrent events. Based on the estimating equation approach and the inverse probability weighting technique, we propose two procedures for estimating the regression parameters and the baseline mean function. The asymptotic properties of the resulting estimators are established. In addition, some graphical and numerical procedures are presented for model checking. The finite-sample behavior of the proposed methods is examined through simulation studies, and an application to a bladder cancer study is also illustrated.Recurrent events data with a terminal event （e.g. death） often arise in clinical and observational studies. Most of existing models assume multiplicative covariate effects and model the conditional recurrent event rate given survival. In this article, we propose a general mSditive-multiplicative rates model for recurrent event data in the presence of a terminal event, where the terminal event stop the further occurrence of recurrent events. Based on the estimating equation approach and the inverse probability weighting technique, we propose two procedures for estimating the regression parameters and the baseline mean function. The asymptotic properties of the resulting estimators are established. In addition, some graphical and numerical procedures are presented for model checking. The finite-sample behavior of the proposed methods is examined through simulation studies, and an application to a bladder cancer study is also illustrated.

关 键 词：additive-multiplicative rates estimating equation marginal model model checking recurrentevents terminal event 

分 类 号：R181[医药卫生—流行病学]