Asymptotic behavior of the threshold minimizing the average probability of error in calculation of wavelet coefficients
- Авторы: Kudryavtsev A.1, Shestakov O.1,2
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Учреждения:
- Faculty of Computational Mathematics and Cybernetics
- Institute of Informatics Problems, Federal Research Center “Computer Science and Control,”
- Выпуск: Том 93, № 3 (2016)
- Страницы: 295-299
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223773
- DOI: https://doi.org/10.1134/S1064562416030212
- ID: 223773
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Аннотация
The problem of estimating the signal function from noisy observations by thresholding the coefficients of its wavelet decomposition is considered. The asymptotic orders of the threshold and risk are calculated by minimizing the average probability of error in calculating the wavelet coefficients.
Об авторах
A. Kudryavtsev
Faculty of Computational Mathematics and Cybernetics
Автор, ответственный за переписку.
Email: nubigena@mail.ru
Россия, 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
Россия, Moscow, 119991; ul. Vavilova 44, korp. 2, Moscow, 119333