Real Nonparametric Regression Using Complex Wavelets

DOI10.1111/j.1467-9868.2004.B5604.xzbMath1059.62039OpenAlexW2122675669WikidataQ61832534 ScholiaQ61832534MaRDI QIDQ4670802

Stuart Barber, Guy P. Nason

Publication date: 22 April 2005

Published in: Journal of the Royal Statistical Society Series B: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9868.2004.b5604.x

zbMATH Keywords

wavelet shrinkagemultiwaveletscurve estimationempirical Bayes methodcomplex normal distributioncomplex-valued wavelets

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Bayesian inference (62F15)

Related Items (9)

\(\Lambda\)-neighborhood wavelet shrinkage ⋮ Cross-validated wavelet block thresholding for non-Gaussian errors ⋮ Bayesian wavelet analysis using nonlocal priors with an application to fMRI analysis ⋮ Efficient Bayesian analysis of multiple changepoint models with dependence across segments ⋮ Cross-validated wavelet shrinkage ⋮ Long memory estimation for complex-valued time series ⋮ Wavelet Shrinkage with Double Weibull Prior ⋮ STUDENTIZED PARTIAL SCORE TESTS FOR VARIANCES IN LONGITUDINAL DATA ⋮ Combining thresholding rules: a new way to improve the performance of wavelet estimators

Uses Software

• wavethresh

Cites Work

• Unnamed Item
• Image processing with complex Daubechies wavelets.
• Estimation of a non-centrality parameter under Stein-type-like losses
• Empirical Bayes approach to block wavelet function estimation
• Complex Daubechies wavelets
• 'Analytic' wavelet thresholding
• A theory for multiresolution signal decomposition: the wavelet representation
• Ten Lectures on Wavelets
• Wavelet Thresholding via A Bayesian Approach
• Flexible Empirical Bayes Estimation for Wavelets
• Applications of complex valued wavelet transforms to subband decomposition

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