On local smoothing of nonparametric curve estimators
On local smoothing of nonparametric curve estimators
复制标题
DOI：
10.2307/2291403
复制
发表时间：
1996-03-01
影响因子：
3.7
通讯作者：
Patil, P
中科院分区：
文献类型：
--
作者：
Fan, JQ;Hall, P;Patil, P
我们开发新的本地版本熟悉的平滑方法，如交叉验证和平滑交叉验证，在密度估计和回归的背景下。这些新方法是局部自适应的，因为它们通过使用随着曲线的特性变化而变化的平滑变化的带宽来捕获曲线中的平滑局部波动。此外，新的方法是准确的，易于应用，计算方便。
We develop new local versions of familiar smoothing methods; such as cross-validation and smoothed cross-validation, in the contexts of density estimation and regression. These new methods are locally adaptive in the sense that they capture smooth local fluctuations in the curve by using smoothly varying bandwidths that change as the character of the curve changes. Moreover, the new methods are accurate, easy to apply, and computationally expedient.