On convergence rates equivalency and sampling strategies in functional deconvolution models

DOI10.1214/09-AOS767zbMath1352.62050arXiv0906.0423OpenAlexW2090107570MaRDI QIDQ973885

Theofanis Sapatinas, Marianna Pensky

Publication date: 26 May 2010

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0423

zbMATH Keywords

wavelet analysisFourier analysisadaptivityBesov spacespartial differential equationsdeconvolutionthresholdingMeyer waveletsminimax estimatorsblock thresholdingfunctional datamultichannel deconvolution

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric estimation (62G05)

Related Items (11)

Statistical deconvolution of the free Fokker-Planck equation at fixed time ⋮ Anisotropic de-noising in functional deconvolution model with dimension-free convergence rates ⋮ On minimax convergence rates under \(L^p\)-risk for the anisotropic functional deconvolution model ⋮ Anisotropic functional deconvolution for the irregular design: A minimax study ⋮ Wavelet estimation of function derivatives from a multichannel deconvolution model ⋮ Block thresholding for wavelet-based estimation of function derivatives from a heteroscedastic multichannel convolution model ⋮ Multichannel boxcar deconvolution with growing number of channels ⋮ Multichannel deconvolution with long-range dependence: a minimax study ⋮ Anisotropic functional deconvolution with long-memory noise: the case of a multi-parameter fractional Wiener sheet ⋮ Multichannel deconvolution with long range dependence: upper bounds on the \(L^p\)-risk \((1 \leq p < \infty)\) ⋮ Wavelet-Based Density Estimation in a Heteroscedastic Convolution Model

Uses Software

• ForWaRD
• reccv

Cites Work

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• TRANSLATION INVARIANT DECONVOLUTION IN A PERIODIC SETTING

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