Lower bounds on the rate of convergence of nonparametric regression estimates

András Antos, László Györfi, Michael Köhler

Type: Article

Publication Date: 2000-01-01

Citations: 12

DOI: https://doi.org/10.1016/s0378-3758(99)00084-1

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Locations

Journal of Statistical Planning and Inference - View

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+	Optimal global rates of convergence for noiseless regression estimation problems with adaptively chosen design	2014	Michael Köhler
+ PDF Chat	An oracle property of the Nadaraya–Watson kernel estimator for high‐dimensional nonparametric regression	2018	Daniel Conn Gang Li
+	Nonparametric Regression Estimation	2002	László Györfi Michael Köhler
+	Lower bounds for the rate of convergence in nonparametric pattern recognition	2002	András Antos
+	Inequalities for uniform deviations of averages from expectations with applications to nonparametric regression	2000	Michael Köhler
+	Block thresholding and wavelet estimation for nonequispaced samples	2002	Eric Chicken
+	Lower Bounds on the Rate of Convergence of Nonparametric Pattern Recognition	1999	András Antos
+ PDF Chat	Optimal third root asymptotic bounds in the statistical estimation of thresholds	2007	Franz Merkl Leila Mohammadi
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Works Cited by This (14)

Action	Title	Year	Authors
+	Nonparametric Estimation of the Regression	2007	Jean‐Pierre Florens Vêlayoudom Marimoutou Anne Péguin-Feissolle Josef Perktold Marine Carrasco
+	Minimax theory of image reconstruction	1993	A. P. Korostelev A. B. Tsybakov
+ PDF Chat	Statistical Estimation: Asymptotic Theory	2014	I. A. Ibragimov R. Z. Khasʹminskiĭ
+	A Probabilistic Theory of Pattern Recognition	1996	Luc Devroye László Györfi Gábor Lugosi
+ PDF Chat	Risk bounds for model selection via penalization	1999	Andrew R. Barron Lucien Birgé Pascal Massart
+ PDF Chat	Distribution-Free Consistency Results in Nonparametric Discrimination and Regression Function Estimation	1980	Luc Devroye T. Wagner
+ PDF Chat	Distribution-Free Lower Bounds in Density Estimation	1984	Luc Devroye Clark S. Penrod
+ PDF Chat	Optimal Global Rates of Convergence for Nonparametric Regression	1982	Charles J. Stone
+ PDF Chat	Consistent Nonparametric Regression	1977	Charles J. Stone
+	Any Discrimination Rule Can Have an Arbitrarily Bad Probability of Error for Finite Sample Size	1982	Luc Devroye