The Asymptotic Behavior of the Optimal Threshold Minimizing the Probability-of-Error Criterion


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Аннотация

In this paper we consider the problem of estimation of a signal function from the noised observations via thresholding its wavelet coefficients. We find the asymptotic order of the optimal threshold that minimizes the probability of the maximum error between the estimates and the true wavelet coefficients exceeding a critical value.

Авторлар туралы

A. Kudryavtsev

Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

Email: oshestakov@cs.msu.su
Ресей, Moscow

O.V. Shestakov

Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University; Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences

Хат алмасуға жауапты Автор.
Email: oshestakov@cs.msu.su
Ресей, Moscow; Moscow

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