Local polynomial \(M\)-smoothers in nonparametric regression

DOI10.1016/j.jspi.2003.07.009zbMath1072.62028OpenAlexW2028135311MaRDI QIDQ1888852

Ruey-Ching Hwang

Publication date: 29 November 2004

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2003.07.009

zbMATH Keywords

\(M\)-estimationAsymptotic behaviorJump-preserving smoothingLocal polynomial \(M\)-smoothingLocal polynomial estimation

Mathematics Subject Classification ID

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

Related Items (2)

Design of kernel M-smoothers for spatial data ⋮ Robust non-parametric smoothing of non-stationary time series

Uses Software

• KernSmooth

Cites Work

• Mean integrated squared error of kernel estimators when the density and its derivative are not necessarily continuous
• Robust reconstruction of functions by the local-approximation method
• Nonparametric regression analysis of longitudinal data
• Smoothing techniques. With implementation in S
• Change-points in nonparametric regression analysis
• Asymptotics for least squares cross-validation bandwidths in nonsmooth cases
• Multivariate locally weighted least squares regression
• Smoothing methods in statistics
• Local linear regression smoothers and their minimax efficiencies
• Smooth estimators of distribution and density functions
• Smoothing with Split Linear Fits
• Kernel Estimation of Densities with Discontinuities or Discontinuous Derivatives
• Design-adaptive Nonparametric Regression
• Edge-Preserving Smoothers for Image Processing
• Ideal spatial adaptation by wavelet shrinkage
• Empirical-Bias Bandwidths for Local Polynomial Nonparametric Regression and Density Estimation
• M-Smoother with local Linear Fit
• Robust Statistics
• Triple smoothing estimation of the regression function and its derivatives in nonparametric regression
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Local polynomial \(M\)-smoothers in nonparametric regression