论文标题
审查模型的相对误差回归函数的非参数局部线性估计
Nonparametric local linear estimation of the relative error regression function for censorship model
论文作者
论文摘要
在本文中，我们通过将平方平方相对误差作为损耗函数，当数据受到随机右审查时，通过使用均方相对误差作为损耗函数，构建了一个新的非参数回归估计器。我们在紧凑的一组拟议估计器集上建立了与速率几乎确定的一致性。进行了一些模拟，以显示不同情况下估计值的渐近行为。
In this paper, we built a new nonparametric regression estimator with the local linear method by using the mean squared relative error as a loss function when the data are subject to random right censoring. We establish the uniform almost sure consistency with rate over a compact set of the proposed estimator. Some simulations are given to show the asymptotic behavior of the estimate in different cases.
