Robust depth-weighted wavelet for nonparametric regression models

DOI10.1007/S10114-005-0528-7zbMath1077.62029OpenAlexW2157938036MaRDI QIDQ2581181

Lu Lin

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0528-7

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nonparametric robustness (62G35)

Related Items (4)

Stahel-Donoho kernel estimation for fixed design nonparametric regression models ⋮ An Extended Projection Data Depth and Its Applications to Discrimination ⋮ Bahadur representation of nonparametric \(M\)-estimators for spatial processes ⋮ Wavelet estimation in heteroscedastic model under censored samples

Cites Work

• On a notion of data depth based on random simplices
• Nonparametric smoothing and lack-of-fit tests
• General notions of statistical depth function.
• Structural properties and convergence results for contours of sample statistical depth functions.
• On the Stahel-Donoho estimator and depth-weighted means of multivariate data.
• Wavelet Methods for Curve Estimation
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