Visual Error Criteria for Qualitative Smoothing
作者:
J.S. Marron,
A.B. Tsybakov,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1995)
卷期:
Volume 90,
issue 430
页码: 499-507
ISSN:0162-1459
年代: 1995
DOI:10.1080/01621459.1995.10476541
出版商: Taylor & Francis Group
关键词: Bandwidth selection;Nonparametric curve estimation;Wavelet regression
数据来源: Taylor
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.
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