Recurrent event and failure time data arise frequently in many clinical and observational studies. In this article, we propose a joint modeling of generalized scale-change models for the recurrent event process and the failure time, and allow the two processes to be correlated through a shared frailty. The proposed joint model is flexible in that it requires neither the Poisson assumption for the recurrent event process nor a parametric assumption on the frailty distribution. Estimating equation approaches are developed for parameter estimation, and the asymptotic properties of the resulting estimators are established. Simulation studies are conducted to evaluate the finite sample performances of the proposed method. An application to a medical cost study of chronic heart failure patients is provided.

在许多临床和观察性研究中经常出现复发事件和失败时间数据。在本文中，我们提出了针对重复事件过程和故障时间的广义尺度变化模型的联合建模，并允许这两个过程通过共享的弱点相关联。所提出的联合模型是灵活的，因为它既不需要重复事件过程的泊松假设，也不需要脆弱分布的参数假设。为参数估计开发了估计方程方法，并建立了所得估计量的渐近特性。进行仿真研究以评估所提出方法的有限样本性能。提供了对慢性心力衰竭患者的医疗成本研究的应用。