L1-estimation for spatial nonparametric regression

DOI10.1080/10485250801976717zbMath1145.62034OpenAlexW2029564026MaRDI QIDQ3529840

Jinde Wang, Rongrong Xu

Publication date: 14 October 2008

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

Full work available at URL: https://doi.org/10.1080/10485250801976717

zbMATH Keywords

asymptotic normalityrandom fieldmixing conditionlocal linear approximationleast absolute deviation estimation

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20)

Related Items (6)

On the functional local linear estimate for spatial regression ⋮ Estimation of the trend function for spatio-temporal models ⋮ Nonparametric relative error regression for spatial random variables ⋮ Nonparametric spatial prediction under stochastic sampling design ⋮ Robust nonparametric estimation for spatial regression ⋮ Local Linear Estimation for Spatiotemporal Models Based on Least Absolute Deviation

Cites Work

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• Kernel density estimation for spatial processes: The \(L_{1}\) theory
• Spatial kernel regression estimation: weak consistency
• Nonparametric spatial prediction
• Asymptotic normality of \(L_ 1\)-estimators in nonlinear regression
• Local linear spatial regression
• The L 1 Method for Robust Nonparametric Regression
• L₁-estimation for varying coefficient models

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