Tsodikov A D, Ibrahim J G, Yakovlev A Y
University of California, Davis, CA 95616.
J Am Stat Assoc. 2003 Dec 1;98(464):1063-1078. doi: 10.1198/01622145030000001007.
This article considers the utility of the bounded cumulative hazard model in cure rate estimation, which is an appealing alternative to the widely used two-component mixture model. This approach has the following distinct advantages: (1) It allows for a natural way to extend the proportional hazards regression model, leading to a wide class of extended hazard regression models. (2) In some settings the model can be interpreted in terms of biologically meaningful parameters. (3) The model structure is particularly suitable for semiparametric and Bayesian methods of statistical inference. Notwithstanding the fact that the model has been around for less than a decade, a large body of theoretical results and applications has been reported to date. This review article is intended to give a big picture of these modeling techniques and associated statistical problems. These issues are discussed in the context of survival data in cancer.
本文探讨了有界累积风险模型在治愈率估计中的效用，它是广泛使用的双组分混合模型的一个有吸引力的替代方法。这种方法具有以下显著优点：（1）它提供了一种自然的方式来扩展比例风险回归模型，从而产生了一大类扩展风险回归模型。（2）在某些情况下，该模型可以根据生物学上有意义的参数进行解释。（3）该模型结构特别适合半参数和贝叶斯统计推断方法。尽管该模型出现还不到十年，但迄今为止已经报道了大量的理论结果和应用。这篇综述文章旨在全面介绍这些建模技术及相关的统计问题。这些问题将在癌症生存数据的背景下进行讨论。
