Asymptotically optimal wavelet thresholding in models with non-Gaussian noise distributions
- 作者: Kudryavtsev A.A.1, Shestakov O.V.1,2
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隶属关系:
- Faculty of Computational Mathematics and Cybernetics
- Institute of Informatics Problems, Federal Research Center “Computer Science and Control,”
- 期: 卷 94, 编号 3 (2016)
- 页面: 615-619
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224472
- DOI: https://doi.org/10.1134/S1064562416060028
- ID: 224472
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详细
The problem of nonparametric estimation of a signal function by thresholding the coefficients of its wavelet decomposition is considered. In models with various noise distributions, asymptotically optimal thresholds and orders of the loss functions are calculated on the basis of probabilities of errors in the calculation of wavelet coefficients.
作者简介
A. Kudryavtsev
Faculty of Computational Mathematics and Cybernetics
编辑信件的主要联系方式.
Email: nubigena@mail.ru
俄罗斯联邦, Moscow, 119991
O. Shestakov
Faculty of Computational Mathematics and Cybernetics; Institute of Informatics Problems, Federal Research Center “Computer Science and Control,”
Email: nubigena@mail.ru
俄罗斯联邦, Moscow, 119991; Moscow, 119933
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