A data-driven block thresholding approach to wavelet estimation
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Publication:1020970
DOI10.1214/07-AOS538zbMath1162.62032arXiv0903.5147MaRDI QIDQ1020970
Publication date: 4 June 2009
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.5147
waveletsJames-Stein estimatoradaptivitynonparametric regressionblock thresholdingStein's unbiased risk estimateBesov body
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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Cites Work
- Block thresholding for density estimation: local and global adaptivity
- Minimax risk over hyperrectangles, and implications
- A data-driven block thresholding approach to wavelet estimation
- Estimation of the mean of a multivariate normal distribution
- Minimax risk over \(l_ p\)-balls for \(l_ q\)-error
- Adaptive wavelet estimation: A block thresholding and oracle inequality approach
- Block threshold rules for curve estimation using kernel and wavelet methods
- Minimax estimation via wavelet shrinkage
- Behavioral and prescriptive explanations of a reverse sunk cost effect
- \(L^ p\) adaptive density estimation
- Empirical Bayes selection of wavelet thresholds
- Better Subset Regression Using the Nonnegative Garrote
- Adapting to Unknown Smoothness via Wavelet Shrinkage
- Nonparametric Estimation of a Density of Unknown Smoothness
- Ten Lectures on Wavelets
- Ideal spatial adaptation by wavelet shrinkage
- Regularization of Wavelet Approximations
- Block-dependent thresholding in wavelet regression
- Wavelets and Dilation Equations: A Brief Introduction
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