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Visual Error Criteria for Qualitative Smoothing
J. S. Marron and A. B. Tsybakov
Journal of the American Statistical Association
Vol. 90, No. 430 (Jun., 1995), pp. 499-507
Stable URL: http://www.jstor.org/stable/2291060
Page Count: 9
You can always find the topics here!Topics: Data smoothing, Density estimation, Estimators, Statistical estimation, Statistics, Curves, Point estimators, Data analysis, Mathematical problems, Approximation
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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.
Journal of the American Statistical Association © 1995 American Statistical Association