Extended Glivenko–Cantelli Theorem in Nonparametric Regression

DOI10.1080/03610926.2012.700377zbMath1302.62090OpenAlexW2088996187WikidataQ61865751 ScholiaQ61865751MaRDI QIDQ2931568

Fuxia Cheng, Lijian Yang, Ji Gao Yan

Publication date: 26 November 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.700377

zbMATH Keywords

empirical processnonparametric regressionresidualsGlivenko-Cantelli theorem

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric estimation (62G05) Strong limit theorems (60F15)

Related Items

Complete convergence and complete moment convergence for maximal weighted sums of extended negatively dependent random variables

Cites Work

• Unnamed Item
• Asymptotic distributions of error density and distribution function estimators in nonparametric regression
• The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
• Strong uniform consistency rates for estimators of conditional functionals
• Weak and strong uniform consistency of a kernel error density estimator in nonparametric regression
• Consistency of error density and distribution function estimators in nonparametric regression.
• Non-parametric Estimation of the Residual Distribution
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator