This article is cited in 1 paper

Probabilistic Possibilistic Models

About properties of estimation of average-square risk when regularizing the inverse of a linear homogeneous operator with adaptive thresholding treatment of the vaguelette-wavelet definition coefficients

O. V. Shestakov<sup>ab

a</sup> Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
^b Institute of Informatics Problems of the Russian Academy of Sciences

Abstract: We consider the estimate of a signal function passed through some linear homogeneous operator. Asymptotic properties of vaguelette-wavelet thresholding risk estimate are investigated in case of choosing adaptive threshold.

Keywords: wavelets, thresholding, adaptive threshold, signal estimate risk, asymptotic normality, linear homogeneous tranform, stable basis.

UDC: 519.22, 517.521, 53.088

Received: 29.11.2011
Revised: 10.12.2011

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