Minimax lower bounds for the simultaneous wavelet deconvolution with fractional Gaussian noise and unknown kernels
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Publication:1644190
DOI10.1016/j.spl.2018.05.002zbMath1392.62087OpenAlexW2799693288MaRDI QIDQ1644190
Publication date: 21 June 2018
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2018.05.002
Besov spacelong-range dependenceblind deconvolutionminimax convergence ratesimultaneous wavelet deconvolution
Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)
Related Items (3)
Minimax adaptive wavelet estimator for the anisotropic functional deconvolution model with unknown kernel ⋮ Estimation in nonparametric regression model with additive and multiplicative noise via Laguerre series ⋮ Point-wise wavelet estimation in the convolution structure density model
Cites Work
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- Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
- Wavelet deconvolution in a periodic setting with long-range dependent errors
- Blockwise SVD with error in the operator and application to blind deconvolution
- Multichannel deconvolution with long range dependence: upper bounds on the \(L^p\)-risk \((1 \leq p < \infty)\)
- Multichannel deconvolution with long-range dependence: a minimax study
- Aggregation for Gaussian regression
- Nonlinear estimation for linear inverse problems with error in the operator
- Simultaneous Wavelet Deconvolution in Periodic Setting
- Wavelet Deconvolution in a Periodic Setting
- Deconvolution using Meyer wavelets
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