Semiparametric Analysis of Longitudinal Data with Informative Observation Times  

作　　者：Liu-quan Sun Xiao-yun Mu Zhi-hua Sun Xing-wei Tong 

机构地区：[1]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China [2]School of mathematical Sciences, Beijing Normal University, Beijing 100875, China

出　　处：《Acta Mathematicae Applicatae Sinica》2011年第1期29-42,共14页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China Grants(No.10571169 and 10731010);the National Basic Research Program of China (973 Program) (No.2007CB814902)

摘　　要：In many longitudinal studies, observation times as well as censoring times may be correlated with longitudinal responses. This paper considers a multiplicative random effects model for the longitudinal response where these correlations may exist and a joint modeling approach is proposed via a shared latent variable. For inference about regression parameters, estimating equation approaches are developed and asymptotic properties of the proposed estimators are established. The finite sample behavior of the methods is examined through simulation studies and an application to a data set from a bladder cancer study is provided for illustration.In many longitudinal studies, observation times as well as censoring times may be correlated with longitudinal responses. This paper considers a multiplicative random effects model for the longitudinal response where these correlations may exist and a joint modeling approach is proposed via a shared latent variable. For inference about regression parameters, estimating equation approaches are developed and asymptotic properties of the proposed estimators are established. The finite sample behavior of the methods is examined through simulation studies and an application to a data set from a bladder cancer study is provided for illustration.

关 键 词：Estimating equations Informative observation times Joint modeling Latent variables Longitudinal data 

分 类 号：O212[理学—概率论与数理统计] O212.1[理学—数学]