多元失效时间数据的一般边际半参数危险率模型研究

在生物医学研究中,多元失效时间数据非常常见.该文提出用一般边际半参数危险率回归模型来分析多元失效时间数据.此模型包括了三种常用边际模型:边际比例风险模型、边际加速失效时间模型和边际加速危险模型作为子模型.对于模型中的回归系数,可以通过估计方程的方法来估计它,同时也给出了基准累积危险率函数的估计.得到的估计可以证明是相合的和渐近正态的.

A General Class of Marginal Semiparametric Hazards Model with Multivariate Failure Time Data

Multivariate failure time data are frequently encountered in biomedical research. In this article,  we propose a general class of hazards regression model for multivariate failure time data. This general class includes some popular classes of models as subclasses,  such as marginal proportional hazards model, the marginal accelerated failure time model. Regression coefficients are estimated through estimating equation method. The proposed estimators for the  regression parameters are shown asymptotically to follow a multivariate normal distribution with a sandwich-typecovariance matrix that can be consistently estimated. The estimated subject-specific cumulative baseline hazard process is  shown to converge weakly to a zero mean Gaussian random field.