CAJ | 학술논문

本文基于多类型复发事件数据,讨论了一个新的加性乘积比率回归模型,该模型包括两部分,其中第一部分为可加Aalen模型,其中协变量影响为加性的且与时间有关.第二部分为Cox回归模型,其中协变量有乘性影响.利用估计方程的方法,给出了该模型中未知参数和非参数函数的一种估计方法,并利用现代经验过程理沦证明了所得估计的相合性和渐近正态性.
본문기우다류형복발사건수거,토론료일개신적가성승적비솔회귀모형,해모형포괄량부분,기중제일부분위가가Aalen모형,기중협변량영향위가성적차여시간유관.제이부분위Cox회귀모형,기중협변량유승성영향.이용고계방정적방법,급출료해모형중미지삼수화비삼수함수적일충고계방법,병이용현대경험과정리륜증명료소득고계적상합성화점근정태성.
In this article, we propose a new additive multiplicative rates models for multiple type recurrent event data. The proposed model includes two parts. The first part is an Aalen's additive model which allows for time-varying covariate effects. The second part is a Cox regression model which contains multiplicative covariate effects. Estimating equation approaches are developed to estimate the nonparametric and parametric components of the proposed model. Based on modern empirical process theory, the consistency and asymptotic normality properties of the proposed estimators are established.