A nonparametric latency estimator for mixture cure models is studied in this paper. An i.i.d. representation is obtained, the asymptotic mean squared error of the latency estimator is found, and its asymptotic normality is proven. A bootstrap bandwidth selection method is introduced and its efficiency is evaluated in a simulation study. The proposed methods are applied to a dataset of colorectal cancer patients in the University Hospital of A Coru\~na (CHUAC).
翻译:本文研究了混合治愈模型的非参数潜伏期估计方法。我们获得了独立同分布表示,推导出潜伏期估计的渐近均方误差,并证明了其渐近正态性。引入了一种自助法带宽选择方法,并通过模拟研究评估了其有效性。所提方法已应用于拉科鲁尼亚大学医院(CHUAC)的结直肠癌患者数据集。