The asymptotic behavior of the optimal threshold minimizing the probability-of-error criterion

DOI10.1007/s10958-018-4048-xzbMath1427.62025OpenAlexW2890240988MaRDI QIDQ2313809

O. V. Shestakov, Andrey A. Kudryavtsev

Publication date: 23 July 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-4048-x

zbMATH Keywords

waveletoptimal thresholdsignal functionminimizing the probability-of-error criterion

Mathematics Subject Classification ID

Density estimation (62G07) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Cites Work

• Unnamed Item
• Asymptotic behavior of the threshold minimizing the average probability of error in calculation of wavelet coefficients
• Consistency of risk estimation with thresholding of wavelet coefficients
• Asymptotic normality of adaptive wavelet thresholding risk estimation
• Minimax estimation via wavelet shrinkage
• Adapting to Unknown Smoothness via Wavelet Shrinkage
• Noise reduction by wavelet thresholding

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