Analyzing Longitudinal Data with Informative Observation and Terminal Event Times  

作　　者：Rui MIAO Xin CHEN Liu-quan SUN 

机构地区：[1]Institute of Applied Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences

出　　处：《Acta Mathematicae Applicatae Sinica》2016年第4期1035-1052,共18页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China Grants(No.11231010 and 11171330);Key Laboratory of RCSDS,CAS(No.2008DP173182)

摘　　要：Longitudinal data often arise when subjects are followed over a period of time, and in many situations, there may exist informative observation times and a dependent terminal event such as death that stops the follow-up. In this article, we propose joint modeling and analysis of longitudinal data with possibly informative observation times and a dependent terminal event in which a common subject-specific latent variable is used to characterize the correlations. A borrow-strength estimation procedure is developed for parameter estimation, and both large-sample and finite^sample properties of the proposed estimators are established. In addition, some goodness-of-fit methods for assessing the adequacy of the model are provided. An application to a bladder cancer study is illustrated.Longitudinal data often arise when subjects are followed over a period of time, and in many situations, there may exist informative observation times and a dependent terminal event such as death that stops the follow-up. In this article, we propose joint modeling and analysis of longitudinal data with possibly informative observation times and a dependent terminal event in which a common subject-specific latent variable is used to characterize the correlations. A borrow-strength estimation procedure is developed for parameter estimation, and both large-sample and finite^sample properties of the proposed estimators are established. In addition, some goodness-of-fit methods for assessing the adequacy of the model are provided. An application to a bladder cancer study is illustrated.

关 键 词：borrow-strength method frailty model informative observation times joint modeling longitudi-nal data terminal event 

分 类 号：O212.1[理学—概率论与数理统计]