带终止事件的多类型复发事件的一般加性乘积比例模型  

A General Additive-multiplicative Rates Model for Multi-type Recurrent and Terminal Events

作　　者：何穗[1] 程希明[2] 周洁[3] 

机构地区：[1]华中师范大学数学与统计学学院,武汉430079 [2]北京信息科技大学理学院,北京100192 [3]中国科学院数学与系统科学研究院,北京100190

出　　处：《应用数学学报》2012年第5期804-816,共13页Acta Mathematicae Applicatae Sinica

摘　　要：带终止事件(例如死亡)的复发事件经常出现在医疗和日常观测中,大多数模型假定协变量效应是乘性的,并在给定生存分布条件下对事件复发率建模.在本文中,我们对带终止事件的复发事件数据建立一般加性乘积比例模型,这里所谓的终止事件就是阻止复发事件的再发生.利用估计方程法和逆概率加权方法,我们分别提出两种估计回归参数和基本均值函数的方法.并且建立了估计的渐近性质.Recurrent events data with a terminal event （e.g., death） often arise in clinical and observational studies. Most of existing models assume multiplicative covariate effects and model the conditional recurrent event rate given survival. In this article, we propose a general additive-multiplicative rates model for recurrent event data in the presence of a terminal event, where the terminal event stops the further occurrence of recurrent events. Based on the estimating equation approach and the inverse probability weighting technique, we propose two procedures for estimating the regression parameters and the baseline mean function. The asymptotic properties of the resulting estimators are established.

关 键 词：加性乘积比例 估计方程 边际分布 复发事件 终止事件 

分 类 号：O212[理学—概率论与数理统计]