Modeling and Inferential Thoughts for Consecutive Gap Times Observed with Death and Censoring

Author

Abstract

In the perspective of biomedical applications, consider a re- current event situation with a relatively low degree of recurrence. In this setting, the focus is placed on successive inter-event gap times which are observed in the presence of both a terminal event like death and inde- pendent censoring. The terminal event is potentially related to recurrent events while the censoring process is an independent nuisance that bears on the total observation time i.e. on the sum of the successive gap times. We review different modeling and inferential strategies. We also present a nonparametric estimation method of joint distribution functions and outline the need for future developments.

Keywords

Volume 12, Issue 1
March 2013
Pages 71-112
  • Receive Date: 23 July 2022
  • Revise Date: 20 May 2024
  • Accept Date: 23 July 2022