Shape-restricted nonparametric regression with overall noisy measurements
Shape-restricted nonparametric regression with overall noisy measurements
复制标题
具有整体噪声测量的形状限制非参数回归
DOI：
10.1080/10485252.2012.754890
复制
发表时间：
2013
影响因子：
1.2
通讯作者：
R. Wets
中科院分区：
文献类型：
--
作者：
G. Pflug;R. Wets
对于变量中含有误差的非参数回归问题，我们考虑了一个形状约束的回归函数估计，它不需要选择带宽参数。我们证明，这种估计是一致的回归函数候选人，这是封闭的图形拓扑下的类。
For a nonparametric regression problem with errors in variables, we consider a shape-restricted regression function estimate, which does not require the choice of bandwidth parameters. We demonstrate that this estimate is consistent for classes of regression function candidates, which are closed under the graph topology.