Li Ni, Park Do-Hwan, Sun Jianguo, Kim Kyungmann
Department of Statistics, University of Missouri, Columbia, MO 65211, USA.
Can J Stat. 2011 Sep;39(3):458-474. doi: 10.1002/cjs.10118. Epub 2011 Jul 20.
This article discusses regression analysis of multivariate panel count data in which the observation process may contain relevant information about or be related to the underlying recurrent event processes of interest. Such data occur if a recurrent event study involves several related types of recurrent events and the observation scheme or process may be subject-specific. For the problem, a class of semiparametric transformation models is presented, which provides a great flexibility for modelling the effects of covariates on the recurrent event processes. For estimation of regression parameters, an estimating equation-based inference procedure is developed and the asymptotic properties of the resulting estimates are established. Also the proposed approach is evaluated by simulation studies and applied to the data arising from a skin cancer chemoprevention trial.
本文讨论多元面板计数数据的回归分析，其中观测过程可能包含与感兴趣的潜在复发事件过程相关的信息或与之相关。如果复发事件研究涉及几种相关类型的复发事件，并且观测方案或过程可能因个体而异，就会出现此类数据。针对该问题，提出了一类半参数变换模型，它为建模协变量对复发事件过程的影响提供了很大的灵活性。对于回归参数的估计，开发了一种基于估计方程的推断程序，并建立了所得估计的渐近性质。此外，通过模拟研究对所提出的方法进行了评估，并将其应用于皮肤癌化学预防试验产生的数据。
