We propose a mixture additive hazards (AH) cure model for survival data with a cure fraction. The proposed model integrates a logistic regression model for the proportion of patients cured of disease and an AH model for the uncured patients. Generalized estimating equations are developed for parameter estimation, and the asymptotic properties of the resulting estimators are established. In addition, model-checking methods are presented to assess the adequacy of the model. The finite-sample performance of the proposed method is evaluated through simulation studies. An application to a human papillomavirus positive oropharyngeal cancer study is conducted to illustrate the proposed method.

中文翻译：

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推论混合添加剂危害危害模型

我们针对具有治愈分数的生存数据提出了一种混合加和危害（AH）治愈模型。所提出的模型整合了用于疾病治愈的患者比例的逻辑回归模型和用于未治愈患者的AH模型。建立了广义估计方程用于参数估计，并建立了所得估计量的渐近性质。另外，提出了模型检查方法以评估模型的适当性。通过仿真研究评估了该方法的有限样本性能。进行了对人乳头瘤病毒阳性口咽癌研究的应用，以说明所提出的方法。