Joint modeling of recurrent and terminal events using additive models

Lianqiang Qu, Liuquan Sun*, Lei Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


In this article, we propose a joint modeling approach for the analysis of recurrent event data with a terminal event. We specify an additive rates model with a multiplicative frailty for the conditional recurrent event rate, and an additive hazards frailty model for the terminal event. A shared frailty is used to account for the association between recurrent and terminal events. An estimating equation approach is developed for the marginal and association parameters in the joint model, and the asymptotic properties of the proposed estimators are established. The finite sample performance of the proposed estimators is examined through simulation studies, and an application to a medical cost study of chronic heart failure patients is illustrated.

Original languageEnglish (US)
Pages (from-to)699-710
Number of pages12
JournalStatistics and its Interface
Issue number4
StatePublished - 2017


  • Additive models
  • Estimating equations
  • Frailty
  • Partial marginal models
  • Recurrent events
  • Terminal event

ASJC Scopus subject areas

  • Statistics and Probability
  • Applied Mathematics


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