Asymptotic Behavior of the Threshold
Minimizing the Average Probability of Error in Calculation
of Wavelet Coefficients

A. A. Kudryavtseva and O. V. Shestakova, b

Presented by Academician I.A. Sokolov December 15, 2015

Received February 1, 2016

Abstract—The problem of estimating the signal function from noisy observations by thresholding the coeffi-
cients of its wavelet decomposition is considered. The asymptotic orders of the threshold and risk are calculated
by minimizing the average probability of error in calculating the wavelet coefficients.

DOI: 10.1134/S1064562416030212


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