Optimal global rates of convergence of \(M\)-estimates for multivariate nonparametric regression

DOI10.1007/BF02013149zbMath0833.62042OpenAlexW2052313846MaRDI QIDQ1899014

Peide Shi, Xue Ren Wang

Publication date: 20 March 1996

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02013149

zbMATH Keywords

nonparametric regression\(M\)-estimatesoptimal global rate of convergence of least squares estimatespiecewise polynomial estimator

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Cites Work

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• Linear smoothers and additive models
• Additive regression and other nonparametric models
• Asymptotically optimal selection of a piecewise polynomial estimator of a regression function
• Optimal rates of convergence for nonparametric estimators
• Multivariate adaptive regression splines
• Optimal global rates of convergence for nonparametric regression
• On solvability of an equation arising in the theory of m-estimates
• A Maximum Likelihood Method for Piecewise Regression Models with a Continuous Dependent Variable

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