Email this article On the Strong Consistency of the Adaptive Risk Estimator for Wavelet Thresholding*
- Authors: Shestakov O.V.1,2
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Affiliations:
- Lomonosov Moscow State University
- Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Issue: Vol 214, No 1 (2016)
- Pages: 115-118
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237333
- DOI: https://doi.org/10.1007/s10958-016-2761-x
- ID: 237333
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Abstract
In this paper we consider the problem of estimating a function from the noised observations via thresholding its wavelet coefficients and prove the strong consistency of the risk estimator with the adaptive threshold.
About the authors
O. V. Shestakov
Lomonosov Moscow State University; Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Author for correspondence.
Email: oshestakov@cs.msu.su
Russian Federation, Moscow; Moscow
