The pointwise rate of convergence of the kernel regression estimate

DOI10.1016/0378-3758(87)90065-6zbMath0616.62050OpenAlexW2086398104WikidataQ118592635 ScholiaQ118592635MaRDI QIDQ1821449

Mirosław Pawlak, Adam Krzyżak

Publication date: 1987

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(87)90065-6

zbMATH Keywords

consistencyregression functionstrong rate of convergenceParzen kernel estimate

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Strong limit theorems (60F15)

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Cites Work

• Unnamed Item
• Distribution-free pointwise consistency of kernel regression estimate
• A law of the iterated logarithm for nonparametric regression function estimators
• Asymptotic properties of kernel estimates of a regression function
• Optimal rates of convergence for nonparametric estimators
• On the almost everywhere convergence of nonparametric regression function estimates
• Strong convergence in nonparametric estimation of regression functions
• Probability Inequalities for the Sum of Independent Random Variables
• Weak and strong uniform consistency of kernel regression estimates