This paper is concerned with a nonparametric estimator of the regression function based on the local linear estimation method in a twice censoring setting. The proposed method avoid the problem of boundary effect and reduces the bias term. Under suitable assumptions, the strong uniform almost sure consistency with rate is established and the finite sample properties of the local linear regression smoother is investigated by means of a simulation study.

中文翻译：

---

两次删失数据的回归函数的局部线性估计

本文涉及基于二次删失设置中的局部线性估计方法的回归函数的非参数估计量。所提出的方法避免了边界效应问题并减少了偏差项。在适当的假设下，建立了与速率的强均匀几乎肯定的一致性，并通过模拟研究研究了局部线性回归平滑器的有限样本特性。