Uniform-in-bandwidth functional limit laws

DOI10.1007/s10959-011-0376-1zbMath1292.62073OpenAlexW2092818271MaRDI QIDQ376260

Paul Deheuvels, Sarah Ouadah

Publication date: 4 November 2013

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-011-0376-1

zbMATH Keywords

kernel density estimatorslaws of large numbersconvergence in probabilityweak lawsfunctional limit lawsnonparametric functional estimators

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (6)

Data-driven \(k\)NN estimation in nonparametric functional data analysis ⋮ On the local linear estimate for functional regression: Uniform in bandwidth consistency ⋮ Uniform-in-bandwidth kernel estimation for censored data ⋮ Optimal Kernel Selection for Density Estimation ⋮ Local linear estimate of the regression operator by the \(k\)NN method ⋮ Uniform in bandwidth consistency for various kernel estimators involving functional data

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