On adaptive wavelet estimation of a derivative and other related linear inverse problems

DOI10.1016/S0378-3758(02)00316-6zbMath1016.62025OpenAlexW2024298192MaRDI QIDQ1866239

Yanyan Li

Publication date: 3 April 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(02)00316-6

zbMATH Keywords

waveletsderivativeblock thresholdinglinear inverse problemsvaguelets

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Inference from stochastic processes (62M99)

Related Items (15)

Bayes procedures for adaptive inference in inverse problems for the white noise model ⋮ Wavelet Estimation of a Density in a GARCH-type Model ⋮ Wavelet density estimators for the deconvolution of a component from a mixture ⋮ Optimal wavelet estimators of the heteroscedastic pointspread effects and Gauss white noises model ⋮ Adaptive rates of contraction of posterior distributions in Bayesian wavelet regression ⋮ 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 ⋮ Parameter estimation of ODE's via nonparametric estimators ⋮ Stein block thresholding for wavelet-based image deconvolution ⋮ Adaptive wavelet estimator for a function and its derivatives in an indirect convolution model ⋮ A note on wavelet estimation of the derivatives of a regression function in a random design setting ⋮ Nonparametric estimators which can be ``plugged-in. ⋮ On information pooling, adaptability and superefficiency in nonparametric function estimation ⋮ Block thresholding for density estimation: local and global adaptivity ⋮ On posterior distribution of Bayesian wavelet thresholding

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