COMPLETE CUBIC SPLINE ESTIMATION OF NONPARAMETRIC REGRESSION-FUNCTIONS

被引：2

作者：

FABIAN, V

机构：

[1] Department of Statistics and Probability, Michigan State University, East Lansing, 48824-1027, MI

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1990年 / 85卷 / 01期

关键词：

D O I：

10.1007/BF01377628

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

For regression functions on [0, 1] with bounded fourth derivatives, a complete cubic spline estimate is proposed and shown to have an asymptotically optimal error rate among all estimates. The error is measured by the supremum norm. © 1990 Springer-Verlag.

引用

页码：57 / 64

页数：8

共 15 条

[1]

Boor CD., 1978, PRACTICAL GUIDE SPLI

[2] LOWER RATE OF CONVERGENCE FOR LOCATING A MAXIMUM OF A FUNCTION [J].