Lower bounds on the rate of convergence of nonparametric regression estimates

被引：10

作者：

Antos, A

Györfi, L

Kohler, M

机构：

[1] Tech Univ Budapest, Dept Comp Sci & Informat Theory, H-1521 Budapest, Hungary

[2] Univ Stuttgart, Inst Math A, D-70569 Stuttgart, Germany

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2000年 / 83卷 / 01期

关键词：

individual rates of convergence; nonparametric regression;

D O I：

10.1016/S0378-3758(99)00084-1

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：

We show that there exist individual lower bounds on the rare of convergence of nonparametric regression estimates, which are arbitrarily close to Stone's minimax lower bounds, (C) 2000 Elsevier Science B.V. All rights reserved. MSC: primary 62G20; secondary 62G05.

引用

页码：91 / 100

页数：10

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