An Application ofU-Statistics to Nonparametric Functional Data Analysis

DOI10.1080/03610926.2010.526747zbMath1319.62088OpenAlexW2016552221MaRDI QIDQ3168550

Ke Ang Fu

Publication date: 31 October 2012

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

Full work available at URL: https://doi.org/10.1080/03610926.2010.526747

zbMATH Keywords

asymptotic distributionmultivariate regressionfunctional dataNadaraya-Watson type estimator

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Strong limit theorems (60F15)

Related Items (3)

Uniform consistency and uniform in bandwidth consistency for nonparametric regression estimates and conditional U-statistics involving functional data ⋮ Weak-convergence of empirical conditional processes and conditional \(U\)-processes involving functional mixing data ⋮ Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data

Cites Work

• Curves discrimination: a nonparametric functional approach
• Local smoothing regression with functional data
• Conditional \(U\)-statistics
• The functional nonparametric model and applications to spectrometric data
• Linear processes in function spaces. Theory and applications
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• Functional data analysis.
• Nonparametric regression estimation for dependent functional data: asymptotic normality
• Nonparametric functional data analysis. Theory and practice.
• Nonparametric regression for functional data: automatic smoothing parameter selection
• Advances on asymptotic normality in non-parametric functional time series analysis
• Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination
• NONPARAMETRIC REGRESSION ON FUNCTIONAL DATA: INFERENCE AND PRACTICAL ASPECTS
• A Class of Statistics with Asymptotically Normal Distribution

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