A geometric interpretation of the multiresolution criterion in nonparametric regression

DOI10.1080/10485250802360994zbMath1147.62037OpenAlexW2087381560MaRDI QIDQ3535703

Thoralf Mildenberger

Publication date: 14 November 2008

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485250802360994

zbMATH Keywords

regularisationresidualsNadaraja-Watson

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Diagnostics, and linear inference and regression (62J20)

Related Items (3)

Nonparametric regression, confidence regions and regularization ⋮ Statistical multiresolution Dantzig estimation in imaging: fundamental concepts and algorithmic framework ⋮ Residual-based localization and quantification of peaks in X-ray diffractograms

Uses Software

• ftnonpar

Cites Work

• Unnamed Item
• Nonparametric smoothing and lack-of-fit tests
• Scale space view of curve estimation.
• Local extremes, runs, strings and multiresolution. (With discussion)
• Multiscale testing of qualitative hypotheses
• Approximating data with weighted smoothing splines
• Ideal spatial adaptation by wavelet shrinkage

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