Minimax mean-square thresholding risk in models with non-Gaussian noise distribution


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The problem of nonparametric estimation of a signal function from noisy observations by thresholding its wavelet coefficients is considered. The orders of mean-square risk and asymptotically optimal thresholds under general assumptions on the noise distribution are calculated.

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O. Shestakov

Department of Computational Mathematics and Cybernetics; Institute of Informatics Problems, Federal Research Center for Computer Science and Control

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Email: oshestakov@cs.msu.su
俄罗斯联邦, Moscow, 119991; Moscow, 119333

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