Joint modelling of survival and longitudinal data with informative observation times

Hongsheng Dai, Jianxin Pan

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    Abstract

    In this paper, we consider the joint modelling of survival and longitudinal data with informative observation time points. The survival model and the longitudinal model are linked via random effects, for which no distribution assumption is required under our estimation approach. The estimator is shown to be consistent and asymptotically normal. The proposed estimator and its estimated covariance matrix can be easily calculated. Simulation studies and an application to a primary biliary cirrhosis study are also provided.

    Original languageEnglish
    Pages (from-to)571-589
    Number of pages19
    JournalScandinavian Journal of Statistics
    Volume45
    Issue number3
    Early online date30 Jan 2018
    DOIs
    Publication statusPublished - Sept 2018

    Keywords

    • Cox model
    • informative observation times
    • log-normal distribution
    • longitudinal data
    • multistate models

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