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Time-varying latent model for longitudinal data with informative observation and terminal event times

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Abstract

Longitudinal data often occur in follow-up studies, and in many situations, there may exist informative observation times and a dependent terminal event such as death that stops the follow-up. We propose a semiparametric mixed effect model with time-varying latent effects in the analysis of longitudinal data with informative observation times and a dependent terminal event. Estimating equation approaches are developed for parameter estimation, and asymptotic properties of the resulting estimators are established. The finite sample behavior of the proposed estimators is evaluated through simulation studies, and an application to a bladder cancer study is provided.

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Authors and Affiliations

  1. School of Statistics, Capital University of Economics and Business, Beijing, 100070, China

    YanBo Pei

  2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Ting Du & LiuQuan Sun

Authors
  1. YanBo Pei
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  2. Ting Du
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  3. LiuQuan Sun
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Corresponding author

Correspondence to LiuQuan Sun.

Additional information

In memory of Professor Xiru Chen (1934–2005)

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Pei, Y., Du, T. & Sun, L. Time-varying latent model for longitudinal data with informative observation and terminal event times. Sci. China Math. 59, 2393–2410 (2016). https://doi.org/10.1007/s11425-016-0112-6

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  • DOI: https://doi.org/10.1007/s11425-016-0112-6

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