Sun Jianguo, Tong Xingwei, He Xin
Department of Statistics, University of Missouri, 146 Middlebush Hall, Columbia, Missouri 65211, USA.
Biometrics. 2007 Dec;63(4):1053-9. doi: 10.1111/j.1541-0420.2007.00808.x.
Panel count data often occur in long-term studies that concern occurrence rate of a recurrent event. Methods have been proposed for regression analysis of panel count data, but most of the existing research focuses on situations where observation times are independent of longitudinal response variables and therefore rely on conditional inference procedures given the observation times. This article considers a different situation where the independence assumption may not hold. That is, the observation times and the response variable may be correlated. For inference, estimating equation approaches are proposed for estimation of regression parameters and both large and finite sample properties of the proposed estimates are established. An illustrative example from a cancer study is provided.
在涉及复发事件发生率的长期研究中，常常会出现面板计数数据。已经有人提出了用于面板计数数据回归分析的方法，但现有的大多数研究都集中在观察时间与纵向响应变量相互独立的情形，因此依赖于给定观察时间的条件推断程序。本文考虑一种不同的情形，即独立性假设可能不成立。也就是说，观察时间和响应变量可能是相关的。为了进行推断，本文提出了估计方程方法来估计回归参数，并建立了所提估计量的大样本和有限样本性质。文中还给出了一个来自癌症研究的示例。
