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

Antai Wang, Xieyang Jia and Zhezhen Jin

Journal of Applied Statistics, 2021, vol. 48, issue 8, 1416-1428

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.

Date: 2021
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DOI: 10.1080/02664763.2020.1795818

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