On the estimation of the function and its derivatives in nonparametric regression: a Bayesian testimation approach

DOI10.1007/s13171-011-0016-yzbMath1418.62169OpenAlexW2061029009MaRDI QIDQ354222

Athanasia Petsa, Theofanis Sapatinas

Publication date: 18 July 2013

Published in: Sankhyā. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13171-011-0016-y

zbMATH Keywords

wavelet analysisBesov spacesthresholdingadaptive estimationmultiple testingcoifletsGaussian white noise modelnonparametric regression modelboundary wavelets

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Bayesian problems; characterization of Bayes procedures (62C10)

Related Items (1)

A note on wavelet estimation of the derivatives of a regression function in a random design setting

Uses Software

• EBayesThresh
• reccv

Cites Work

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• Ten Lectures on Wavelets
• Wavelet Thresholding via A Bayesian Approach
• Ideal spatial adaptation by wavelet shrinkage
• Boundary coiflets for wavelet shrinkage in function estimation
• On Bayesian testimation and its application to wavelet thresholding

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