A note on the wavelet oracle

DOI10.1016/S0167-7152(98)00282-XzbMath0939.62030OpenAlexW1989727297MaRDI QIDQ1962239

Dominique Picard, Gérard Kerkyacharian, Hall, Peter

Publication date: 3 July 2000

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(98)00282-x

zbMATH Keywords

adaptivityconvergence ratevariancebiasnonparametric regressionlocal smoothingsmoothing parameter

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items

Thresholding algorithms, maxisets and well-concentrated bases, Random rates in anisotropic regression. (With discussion)

Cites Work

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• Block threshold rules for curve estimation using kernel and wavelet methods
• Density estimation by wavelet thresholding
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• Formulae for mean integrated squared error of nonlinear wavelet-based density estimators
• Adapting to Unknown Smoothness via Wavelet Shrinkage
• Ideal spatial adaptation by wavelet shrinkage