Maxisets for linear procedures

DOI10.1016/j.spl.2003.12.010zbMath1125.60307OpenAlexW1964331391MaRDI QIDQ1771300

Vincent Rivoirard

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.spl.2003.12.010

zbMATH Keywords

Besov spacesRate of convergenceHeteroscedastic white noise modelLinear estimatorsMaxisets

Mathematics Subject Classification ID

White noise theory (60H40)

Related Items (12)

Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods ⋮ Maxiset in sup-norm for kernel estimators ⋮ Adaptive and efficient estimation in the Gaussian sequence model ⋮ On uniform consistency of Neyman's type nonparametric tests ⋮ Minimax nonparametric estimation on maxisets ⋮ On asymptotically minimax nonparametric detection of signal in Gaussian white noise ⋮ On the performances of a new thresholding procedure using tree structure ⋮ On uniform consistency of nonparametric tests. I ⋮ Hyperbolic wavelet thresholding methods and the curse of dimensionality through the maxiset approach ⋮ On the maxiset comparison between hard and block thresholding methods ⋮ Maxisets for model selection ⋮ A model of Poissonian interactions and detection of dependence

Cites Work

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• Density estimation by kernel and wavelets methods: optimality of Besov spaces
• Minimax or maxisets?
• Density estimation by wavelet thresholding
• Sharp adaptation for inverse problems with random noise
• Statistical Inverse Estimation in Hilbert Scales
• Error estimates for band-limited spherical regularization wavelets in an inverse problem of satellite geodesy
• Thresholding algorithms, maxisets and well-concentrated bases

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