This paper deals with the problem of nonparametric relative error regression function estimation for twice censored data. A new estimate is proposed, which is built by combining the local linear approach and relative error estimation. A uniform almost sure consistency with rate over a compact set is established. A numerical study is carried out to assess the performance of the proposed estimator. Practical results indicate the robustness of the new estimate compared to other existing estimators in the presence of censored and outliers datum.

中文翻译：

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两次删失数据的相对误差回归函数的非参数局部线性估计

本文研究的是二次删失数据的非参数相对误差回归函数估计问题。提出了一种新的估计，它是通过结合局部线性方法和相对误差估计来构建的。在紧凑集合上建立了几乎可以肯定的一致率。进行数值研究以评估所提出的估计器的性能。实际结果表明，在存在删失和异常值数据的情况下，与其他现有估计量相比，新估计量具有稳健性。