On semiparametric transformation cure models
On semiparametric transformation cure models
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DOI：
10.1093/biomet/91.2.331
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发表时间：
2004-06-01
期刊：
影响因子：
2.7
通讯作者：
Ying, ZL
中科院分区：
文献类型：
--
作者：
Lu, WB;Ying, ZL
研究了一类一般的半参数变换治愈模型，用于分析具有长期生存者的生存数据。它将事件发生概率的逻辑回归与发生时间的转换模型类相结合。作为特例包括比例风险治愈模型（Farewell，1982; Kuk Chen，1992; Sy Taylor，2000; Peng & Dear，2000）和比例几率治愈模型。提出了参数估计的广义估计方程。结果表明，所得到的估计量是渐近正态的，方差-协方差矩阵具有一个封闭的形式，可以一致地估计通常的插件方法。仿真研究表明，所提出的方法是适合于实际使用。一个应用程序的数据从乳腺癌的研究来说明的方法。
A general class of semiparametric transformation cure models is studied for the analysis of survival data with long-term survivors. It combines a logistic regression for the probability of event occurrence with the class of transformation models for the time of occurrence. Included as special cases are the proportional hazards cure model (Farewell, 1982; Kuk Chen, 1992; Sy Taylor, 2000; Peng & Dear, 2000) and the proportional odds cure model. Generalised estimating equations are proposed for parameter estimation. It is shown that the resulting estimators are asymptotically normal, with variance-covariance matrix that has a closed form and can be consistently estimated by the usual plug-in method. Simulation studies show that the proposed approach is appropriate for practical use. An application to data from a breast cancer study is given to illustrate the methodology.