We propose completely nonparametric methodology to investigate location-scale modeling of two-component mixture cure models that is similar in spirit to accelerated failure time models, where the responses of interest are only indirectly observable due to the presence of censoring and the presence of long-term survivors that are always censored. We use nonparametric estimators of the location-scale model components that depend on a bandwidth sequence to propose an estimator of the error distribution function that has not been considered before in the literature. When this bandwidth belongs to a certain range of undersmoothing bandwidths, the proposed estimator of the error distribution function is root-n consistent. A simulation study investigates the finite sample properties of our approach, and the methodology is illustrated using data obtained to study the behavior of distant metastasis in lymph-node-negative breast cancer patients.

我们提出了一种完全非参数的方法来研究两组分混合固化模型的位置尺度模型，该模型在本质上与加速失效时间模型相似，在该模型中，由于存在检查机制和长期存在的缺陷，因此只能间接观察到目标响应。经常受到审查的长期幸存者。我们使用依赖于带宽序列的位置比例模型组件的非参数估计量来提出错误分配函数的估计量，该估计量以前在文献中未曾考虑过。当此带宽属于某个范围undersmoothing带宽，误差分布函数的所提出的估计是根- Ñ一致的。一项模拟研究调查了我们方法的有限样本属性，并使用所获得的数据说明了该方法，以研究淋巴结阴性乳腺癌患者的远处转移行为。