This paper discusses robust nonparametric estimators of location regression function for errors-in-variables model with de-convolution kernel. The local constant smoother is used for the estimation of the nonparametric function, and the local linear smoother is proposed to deal with the boundary problem, as well as to improve the local constant smoother. We establish the asymptotic properties of the estimator, the in uence function of the statistical functional and the breakdown point. A simulation study is carried out to demonstrate robust performance of the proposed estimator. The motorcycle data is presented to illustrate the application of the robust estimator further.

中文翻译：

---

变量误差模型的鲁棒非参数函数估计

本文讨论了具有去卷积核的变量误差模型的位置回归函数的鲁棒非参数估计器。局部常数平滑器用于非参数函数的估计，并提出局部线性平滑器来处理边界问题，以及改进局部常数平滑器。我们建立了估计量的渐近特性、统计泛函的影响函数和分解点。进行了模拟研究以证明所提出的估计器的稳健性能。提供摩托车数据以进一步说明稳健估计器的应用。