Curve Fitting Under Jump and Peak Irregularities Using Local Linear Regression

DOI10.1080/03610926.2010.503949zbMath1318.62129OpenAlexW2021199162MaRDI QIDQ2892605

Lieven Desmet, Irène Gijbels

Publication date: 19 June 2012

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2010.503949

zbMATH Keywords

biaslocal linear fittingregression curvejump and peak preservation

Mathematics Subject Classification ID

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

Related Items (5)

Curve fitting and jump detection on nonparametric regression with missing data ⋮ Estimation of a jump point in random design regression ⋮ A robust and efficient estimation method for nonparametric models with jump points ⋮ Changepoint detection by the quantile Lasso method ⋮ Discontinuities in robust nonparametric regression with α-mixing dependence

Cites Work

• Unnamed Item
• Jump-preserving regression and smoothing using local linear fitting: a compromise
• Minimax estimation of sharp change points
• Smoothing with Split Linear Fits
• Adapting to Unknown Smoothness via Wavelet Shrinkage
• Local linear fitting and improved estimation near peaks
• A jump-preserving curve fitting procedure based on local piecewise-linear kernel estimation
• SiZer for Exploration of Structures in Curves
• Image Processing and Jump Regression Analysis
• Detecting Abrupt Changes by Wavelet Methods
• SiZer for jump detection

This page was built for publication: Curve Fitting Under Jump and Peak Irregularities Using Local Linear Regression