Asymptotic normality of adaptive wavelet thresholding risk estimation
type: Item
instance of: scholarly article
title: Asymptotic normality of adaptive wavelet thresholding risk estimation
zbMATH Open document ID: 1279.42045
DOI: 10.1134/S1064562412040370
author: O. V. Shestakov
published in: Doklady Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Wavelet decomposition of a signal can be used for the denoising of signals/images. The process of using threshold value for discarding/retaining the wavelet coefficients depends upon the problem and the purpose and may involve error/risk. The author studies the asymptotic normality of risk estimation for the one dimensional signals for the adaptive threshold which has been suggested by \textit{D. Donoho} and \textit{I. M. Johnstone} [J. Am. Stat. Assoc. 90, No. 432, 1200--1224 (1995; Zbl 0869.62024)].
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 91B30
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 6106514
zbMATH Keywords: Wavelet
zbMATH Keywords: threshold
zbMATH Keywords: risk estimation
MaRDI profile type: Publication
cites work: Ideal spatial adaptation by wavelet shrinkage
cites work: Regularization of Wavelet Approximations
full work available at URL: s1064562412040370
OpenAlex ID: W2003212752
description: scientific article; zbMATH DE number 6106514