Semiparametric Analysis of Longitudinal Data with Informative Observation Times

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...

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Bibliographic Details
Published in:Acta Mathematicae Applicatae Sinica 2011, Vol.27 (1), p.29-42
Main Authors: Sun, Liu-quan, Mu, Xiao-yun, Sun, Zhi-hua, Tong, Xing-wei
Format: Article
Language:English
Subjects:
Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
信息化时代
半参数
回归参数
建模方法
有限样本
渐近性质
纵向数据
随机效应模型
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Summary: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.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-011-0037-2