VISUAL ERROR CRITERIA FOR QUALITATIVE SMOOTHING

被引：56

作者：

MARRON, JS

TSYBAKOV, AB

机构：

[1] UNIV PARIS 06,F-75252 PARIS 05,FRANCE

[2] UNIV CATHOLIQUE LOUVAIN,CORE,B-1348 LOUVAIN,BELGIUM

[3] UNIV CATHOLIQUE LOUVAIN,INST STAT,LOUVAIN,BELGIUM

[4] RUSSIAN ACAD SCI,INST INFORMAT TRANSMISS PROBLEMS,MOSCOW,RUSSIA

来源：

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION | 1995年 / 90卷 / 430期

关键词：

BANDWIDTH SELECTION; NONPARAMETRIC CURVE ESTIMATION; WAVELET REGRESSION;

D O I：

10.2307/2291060

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：

An important gap, between the classical mathematical theory and the practice and implementation of nonparametric curve estimation, is due to the fact that the usual norms on function spaces measure something different from what the eye can see visually in a graphical presentation. Mathematical error criteria that more closely follow ''visual impression'' are developed and analyzed from both graphical and mathematical viewpoints. Examples from wavelet regression and kernel density estimation are considered.

引用

页码：499 / 507

页数：9

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