scientific article

zbMath1191.62072MaRDI QIDQ3643282

Rafał Kulik, Marc Raimondo

Publication date: 11 November 2009

Full work available at URL: http://www3.stat.sinica.edu.tw/statistica/J19N4/j19n47/j19n47.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

wavedfractional Brownian motioninverse problemsfractional integrationdeconvolutionlinear processeslong range dependencenonparametric regressionadaptationcorrelated datafractional differentiation\(L^p\) lossMeyer waveletmaxisetsdegree of ill posednessvaguelettes

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

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On rate-optimal nonparametric wavelet regression with long memory moving average errors ⋮ Wavelet deconvolution in a periodic setting with long-range dependent errors ⋮ Kink estimation in stochastic regression with dependent errors and predictors ⋮ Multichannel deconvolution with long-range dependence: a minimax study ⋮ Kink estimation with correlated noise ⋮ Bootstrap testing for discontinuities under long-range dependence ⋮ Wavelet regression in random design with heteroscedastic dependent errors ⋮ Multichannel deconvolution with long range dependence: upper bounds on the \(L^p\)-risk \((1 \leq p < \infty)\)

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