Asymptotic normality of the Nadaraya–Watson estimator for nonstationary functional data and applications to telecommunications

DOI10.1080/10485250902878655zbMath1165.62029OpenAlexW2107065294MaRDI QIDQ5321917

Karine Bertin, Gonzalo Perera, Laura Aspirot

Publication date: 16 July 2009

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485250902878655

zbMATH Keywords

asymptotic normalitycentral limit theoremrandom fieldsnonparametric regressionnonstationarityfunctional datadependence

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Nonparametric tolerance and confidence regions (62G15)

Related Items (5)

Nonparametric kernel regression estimation for functional stationary ergodic data: Asymptotic properties ⋮ Nonparametric modelling for functional data: selected survey and tracks for future ⋮ Adaptive and minimax estimation of the cumulative distribution function given a functional covariate ⋮ Asymptotic normality of a robust estimator of the regression function for functional time series data ⋮ FUNCTIONAL MODELLING OF TELECOMMUNICATIONS DATA

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