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Abstract:
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In clinical and observational studies, an event can recur on the same subject, and in a more complicated situation, there exists a terminal event (e.g. death), which stops the recurrent event process. In many instances, the terminal event is strongly correlated with the recurrent event process. I propose a semiparametric method to jointly model the recurrent and terminal event processes. The dependence is modeled by a shared gamma frailty that is included in both the recurrent event rate and terminal event hazard function. Marginal models are used to estimate the regression effects on the terminal and recurrent event processes. Different from the existing frailty approaches, we relax the Poisson assumption. Then we extend the analysis to model multiple types of recurrent events and terminal events.
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