非参数回归:最优局部带宽选择

Nonparametric Regression: Optimal Local Bandwidth Choice

Journal of the Royal Statistical Society. Series B: Statistical Methodology · 1991
被引 70
ABS 4

中文导读

研究了回归函数的核估计,提出一种基于局部交叉验证准则的数据驱动方法来自适应选择带宽,该方法在局部二次误差度量下渐近最优,并通过蒙特卡洛实验和医学数据验证。

Abstract

SUMMARY Kernel estimators of a regression function are investigated. The bandwidths are locally chosen by a data-driven method based on the minimization of a local cross-validation criterion. This method is shown to be asymptotically optimal with respect to local quadratic measures of errors. Monte Carlo experiments are presented, and finally the method is applied to some data of medical interest.

非参数回归核估计带宽选择交叉验证蒙特卡洛方法