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Semiparametric Analysis of Longitudinal Data with informative observation times

Acta Mathematicae Applicatae Sinica 2011年第1期27卷 29-42页

作者： Liu-quan Sun Xiao-yun Mu Zhi-hua Sun Xing-wei Tong Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China School of mathematical Sciences Beijing Normal University Beijing 100875 China

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

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Analyzing Longitudinal Data with informative observation and Terminal Event times

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Acta Mathematicae Applicatae Sinica 2016年第4期32卷 1035-1052页

作者： Rui MIAO Xin CHEN Liu-quan SUN Institute of Applied Mathematics Academy of Mathematics and Systems ScienceChinese Academy of Sciences

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

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