中国科学院孙六全老师作了一场题为“Joint Modeling of Recurrent and Terminal Events Using Additive Models(复发性和终端事件的联合建模使用加模型)”的在职研究生学术报告。
孙六全,于北京大学获博士学位(1998),研究员,博士生导师。2008年获中科院数学院突出科研成果奖。主要研究方向是:生存分析、生物与医学统计、复发事件和纵向数据的统计推断、区间删失数据的统计分析、各种不完全观察数据的统计分析、数理统计及其应用。
在这篇文章中,我们提出了复发性事件数据与终端事件分析的联合建模方法。我们用乘法脆弱用于条件复发事件发生率,并为终端事件的添加剂危害脆弱模型指定的添加剂率模型。共享脆弱用来占经常性和终端事件。一种估计方程方法之间的关联在联合模式的边际成本和关联参数发达,所提出的估计量的渐进性质成立。所提出的估计量的有限样本性能是通过模拟研究检查,慢性心脏衰竭患者的医疗费用研究的申请中示出。
原文:In this article, we propose a joint modeling approach for the analysis of recurrent event data with a terminal event. We specify an additive rates model with a multiplicative frailty for the conditional recurrent event rate, and an additive hazards frailty model for the terminal event. A shared frailty is used to account for the association between recurrent and terminal events .An estimating equation approach is developed for the marginal and association parameters in the joint model, and the asymptotic properties of the proposed estimators are established. The finite sample performance of the proposed estimators is examined through simulation studies, and an application to a medical cost study of chronic heart failure patients is illustrated.