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

DOI10.1155/2014/195765zbMath1286.62036OpenAlexW2155994974WikidataQ59044175 ScholiaQ59044175MaRDI QIDQ2448838

Christophe Chesneau

Publication date: 5 May 2014

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/195765

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)

Related Items (1)

On a projection estimator of the regression function derivative

Uses Software

• KernSmooth

Cites Work

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• On the estimation of the function and its derivatives in nonparametric regression: a Bayesian testimation approach
• Wavelet based estimation of the derivatives of a density for a negatively associated process
• Regression with random design: a minimax study
• Sharp estimation in sup norm with random design
• Additive regression and other nonparametric models
• Wavelets on the interval and fast wavelet transforms
• Wavelets, approximation, and statistical applications
• On non-equally spaced wavelet regression
• Regression in random design and warped wavelets
• Multivariate locally weighted least squares regression
• On minimax wavelet estimators
• Density estimation by wavelet thresholding
• On adaptive wavelet estimation of a derivative and other related linear inverse problems
• Adapting to Unknown Smoothness via Wavelet Shrinkage
• When is the optimal regularization parameter insensitive to the choice of the loss function?
• Ten Lectures on Wavelets
• Ideal spatial adaptation by wavelet shrinkage
• Nonparametric regression estimation based on spatially inhomogeneous data: minimax global convergence rates and adaptivity
• Adaptive wavelet estimation of a density from mixtures under multiplicative censoring
• Estimating the Interest Rate Term Structure of Corporate Debt With a Semiparametric Penalized Spline Model

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