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Wavelet thresholding for non-necessarily Gaussian noise: idealism

R. Averkamp, C. Houdré

The Annals of Statistics · 2003 · Volume 31 · Issue 1

DOI: 10.1214/aos/1046294459

Abstract

For various types of noise (exponential, normal mixture, compactly supported, ...) wavelet thresholding methods are studied. Problems linked to the existence of optimal thresholds are tackled, and minimaxity properties of the methods also analyzed. A coefficient dependent method for choosing thresholds is also briefly presented.

Keywords

41A25, 60G70, 62C20, 62G07, minimax, thresholding, Wavelets

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