Joint frailty models for zero-inflated recurrent events in the presence of a terminal event

Lei Liu*, Xuelin Huang, Alex Yaroshinsky, Janice N. Cormier

*Corresponding author for this work

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

Recurrent event data arise frequently in longitudinal medical studies. In many situations, there are a large portion of subjects without any recurrent events, manifesting the "zero-inflated" nature of the data. Some of the zero events may be "structural zeros" as patients are unsusceptible to recurrent events, while others are "random zeros" due to censoring before any recurrent events. On the other hand, there often exists a terminal event which may be correlated with the recurrent events. In this article, we propose two joint frailty models for zero-inflated recurrent events in the presence of a terminal event, combining a logistic model for "structural zero" status (Yes/No) and a joint frailty proportional hazards model for recurrent and terminal event times. The models can be fitted conveniently in SAS Proc NLMIXED. We apply the methods to model recurrent opportunistic diseases in the presence of death in an AIDS study, and tumor recurrences and a terminal event in a sarcoma study.

Original languageEnglish (US)
Pages (from-to)204-214
Number of pages11
JournalBiometrics
Volume72
Issue number1
DOIs
StatePublished - Mar 1 2016

Keywords

  • Cure model
  • Finite Mixture
  • Latent Class
  • Survival analysis

ASJC Scopus subject areas

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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