Simultaneous Wavelet Deconvolution in Periodic Setting

DOI10.1111/j.1467-9469.2006.00463.xzbMath1124.62019OpenAlexW1998219449MaRDI QIDQ3411076

Marianna Pensky, Daniela de Canditiis

Publication date: 8 December 2006

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9469.2006.00463.x

zbMATH Keywords

asymptoticblurringthreshold wavelet estimate

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Markov processes: estimation; hidden Markov models (62M05)

Related Items (9)

Minimax lower bounds for the simultaneous wavelet deconvolution with fractional Gaussian noise and unknown kernels ⋮ Minimax convergence rates under the \(L^p\)-risk in the functional deconvolution model ⋮ 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 ⋮ On convergence rates equivalency and sampling strategies in functional deconvolution models ⋮ Functional deconvolution in a periodic setting: uniform case ⋮ Multichannel deconvolution with long range dependence: upper bounds on the \(L^p\)-risk \((1 \leq p < \infty)\)

Cites Work

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• Asymptotic equivalence of nonparametric regression and white noise
• Adaptive wavelet estimator for nonparametric density deconvolution
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• Density deconvolution of different conditional distributions
• Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
• Wavelet decomposition approaches to statistical inverse problems
• Systems of Convolution Equations, Deconvolution, Shannon Sampling, and the Wavelet and Gabor Transforms
• Wavelet deconvolution
• Wavelet Deconvolution in a Periodic Setting
• TRANSLATION INVARIANT DECONVOLUTION IN A PERIODIC SETTING

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