Asymptotics for \(L_1\)-wavelet method for nonparametric regression

DOI10.1186/s13660-020-02483-wzbMath1503.62034OpenAlexW3083512107MaRDI QIDQ2069557

Xing-Cai Zhou, Fangxia Zhu

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02483-w

zbMATH Keywords

rate of convergenceasymptotic normalityBahadur representationnonparametric regression\(L_1\)-wavelet

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05)

Related Items

Universal kernel-type estimation of random fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic properties of wavelet estimators in semiparametric regression models under dependent errors
• Asymptotics of nonparametric L-1 regression models with dependent data
• Nonparametric estimation of conditional medians for linear and related processes
• Asymptotic properties of kernel estimators based on local medians
• Nonparametric regression analysis of longitudinal data
• Wavelets, approximation, and statistical applications
• Nonparametric estimation of a quantile density function by wavelet methods
• Wavelet estimation in varying-coefficient partially linear regression models
• Nonlinear time series. Nonparametric and parametric methods
• Formulae for mean integrated squared error of nonlinear wavelet-based density estimators
• Local linear regression smoothers and their minimax efficiencies
• Adapting to Unknown Smoothness via Wavelet Shrinkage
• Design-adaptive Nonparametric Regression
• The L 1 Method for Robust Nonparametric Regression
• Wavelet Methods for Curve Estimation
• Berry–Esseen bound of wavelet estimators in heteroscedastic regression model with random errors
• Wavelet-based estimation of regression function with strong mixing errors under fixed design
• Wavelets for Nonparametric Stochastic Regression with Mixing Stochastic Process
• L₁-estimation for varying coefficient models
• Kernel spline regression
• Theory of Reproducing Kernels
• Robust Statistics