Estimation of the cumulative baseline hazard function for dependently right-censored failure time data |
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| Authors: | Antai Wang Xieyang Jia Zhezhen Jin |
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| Institution: | aDepartment of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ, USA;bMerck & Co., Philadelphia, PA, USA;cDepartment of Biostatistics, Columbia University, New York, NY, USA |
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| 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. |
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| Keywords: | Archimedean copula models bivariate frailty models cumulative hazard functions |
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