He Xin, Tong Xingwei, Sun Jianguo
Division of Biostatistics, College of Public Health, The Ohio State University, Columbus, OH 43210, USA.
Lifetime Data Anal. 2009 Jun;15(2):177-96. doi: 10.1007/s10985-008-9105-1. Epub 2008 Dec 10.
This paper discusses regression analysis of panel count data that often arise in longitudinal studies concerning occurrence rates of certain recurrent events. Panel count data mean that each study subject is observed only at discrete time points rather than under continuous observation. Furthermore, both observation and follow-up times can vary from subject to subject and may be correlated with the recurrent events. For inference, we propose some shared frailty models and estimating equations are developed for estimation of regression parameters. The proposed estimates are consistent and have asymptotically a normal distribution. The finite sample properties of the proposed estimates are investigated through simulation and an illustrative example from a cancer study is provided.
本文讨论了面板计数数据的回归分析，这种数据常在关于某些复发事件发生率的纵向研究中出现。面板计数数据是指每个研究对象仅在离散时间点被观察，而非连续观察。此外，观察时间和随访时间在不同对象间可能不同，并且可能与复发事件相关。为了进行推断，我们提出了一些共享脆弱性模型，并开发了估计方程用于回归参数的估计。所提出的估计量是一致的，并且渐近服从正态分布。通过模拟研究了所提出估计量的有限样本性质，并提供了一个来自癌症研究的示例。
