Local linear estimate of the regression operator by the \(k\)NN method

DOI10.1016/J.CRMA.2017.05.007zbMath1422.62122OpenAlexW2626197829MaRDI QIDQ2012355

Mohammed Attouch, Fatima Rafaa, Ali Laksaci

Publication date: 31 July 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.05.007

zbMATH Keywords

regression operatorlinear estimate\(k\)NN method

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Linear regression; mixed models (62J05) Nonparametric estimation (62G05)

Related Items (3)

The \(k\)-nearest neighbors method in single index regression model for functional quasi-associated time series data ⋮ Unnamed Item ⋮ FDA: strong consistency of the kNN local linear estimation of the functional conditional density and mode

Cites Work

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• Uniform-in-bandwidth functional limit laws
• Uniform consistency of \(k\mathrm{NN}\) regressors for functional variables
• Local linear regression for functional predictor and scalar response
• On the strong universal consistency of nearest neighbor regression function estimates
• Convergence of functional \(k\)-nearest neighbor regression estimate with functional responses
• Data-driven \(k\)NN estimation in nonparametric functional data analysis
• Local linear regression modelization when all variables are curves
• Uniform in bandwidth consistency of kernel-type function estimators
• Locally modelled regression and functional data
• k-Nearest Neighbour method in functional nonparametric regression

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