Asymptotically optimal wavelet thresholding in models with non-Gaussian noise distributions
- Авторлар: Kudryavtsev A.A.1, Shestakov O.V.1,2
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Мекемелер:
- Faculty of Computational Mathematics and Cybernetics
- Institute of Informatics Problems, Federal Research Center “Computer Science and Control,”
- Шығарылым: Том 94, № 3 (2016)
- Беттер: 615-619
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224472
- DOI: https://doi.org/10.1134/S1064562416060028
- ID: 224472
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
A. Kudryavtsev
Faculty of Computational Mathematics and Cybernetics
Хат алмасуға жауапты Автор.
Email: nubigena@mail.ru
Ресей, 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
Ресей, Moscow, 119991; Moscow, 119933
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