Stabilized hard thresholding for an unknown noise level

DOI10.3103/S0278641917020078zbMath1384.62130OpenAlexW2610170576MaRDI QIDQ682217

O. V. Shestakov

Publication date: 14 February 2018

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641917020078

zbMATH Keywords

waveletsasymptotic normalityvariance estimatorthresholdingunbiased risk estimator

Mathematics Subject Classification ID

Density estimation (62G07) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60)

Cites Work

• Unnamed Item
• Exponential probability inequality and convergence results for the median absolute deviation and its modifications
• Consistency of risk estimation with thresholding of wavelet coefficients
• Asymptotic normality of adaptive wavelet thresholding risk estimation
• Adapting to Unknown Smoothness via Wavelet Shrinkage
• Approximation Theorems of Mathematical Statistics
• Ideal spatial adaptation by wavelet shrinkage
• A Note on Quantiles in Large Samples
• Noise reduction by wavelet thresholding

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