Estimation of the cumulative baseline hazard function for dependently right-censored failure time data

Antai Wang, Xieyang Jia, Zhezhen Jin

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study the properties of a special class of frailty models when the frailty is common to several failure times. The models are closely linked to Archimedean copula models. We establish a useful formula for cumulative baseline hazard functions and develop a new estimator for cumulative baseline hazard functions in bivariate frailty regression models. Based on our proposed estimator, we present a graphical model checking procedure. We fit a leukemia data set using our model and end our paper with some discussions.

Original languageEnglish (US)
Pages (from-to)1-13
Number of pages13
JournalJournal of Applied Statistics
DOIs
StatePublished - 2020

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Keywords

  • Archimedean copula models
  • bivariate frailty models
  • cumulative hazard functions

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