Bootstrap confidence intervals in functional nonparametric regression under dependence

DOI10.1214/16-EJS1156zbMath1346.62082OpenAlexW2492772566MaRDI QIDQ309554

Mohammad Hasan, M. Dambrine

Publication date: 7 September 2016

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

Full work available at URL: https://projecteuclid.org/euclid.ejs/1468849968

zbMATH Keywords

bootstrapconfidence intervalsnonparametric regression\(\alpha\)-mixingfunctional data

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15) Nonparametric statistical resampling methods (62G09)

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Uses Software

• fda (R)

Cites Work

• Unnamed Item
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• An introduction to recent advances in high/infinite dimensional statistics
• A partial overview of the theory of statistics with functional data
• Inference for functional data with applications
• Regression when both response and predictor are functions
• Bootstrap in functional linear regression
• Estimating some characteristics of the conditional distribution in nonparametric functional models
• Rate of uniform consistency for nonparametric estimates with functional variables
• Bootstrapping regression models
• Rate of convergence for the wild bootstrap in nonparametric regression
• Nonparametric curve estimation from time series
• On bootstrap confidence intervals in nonparametric regression
• Nonparametric statistics for stochastic processes. Estimation and prediction.
• On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions
• Linear processes in function spaces. Theory and applications
• Bootstrap simultaneous error bars for nonparametric regression
• Bootstrap and wild bootstrap for high dimensional linear models
• Structural tests in regression on functional variables
• Nonparametric time series prediction: A semi-functional partial linear modeling
• Functional data analysis.
• Nonparametric regression estimation for dependent functional data: asymptotic normality
• Nonparametric functional data analysis. Theory and practice.
• [https://portal.mardi4nfdi.de/wiki/Publication:3038407 Propri�t�s de convergence presque compl�te du pr�dicteur � noyau]
• On the Validity of the Bootstrap in Non-Parametric Functional Regression
• Approximation Theorems of Mathematical Statistics
• 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
• Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
• NONPARAMETRIC REGRESSION ON FUNCTIONAL DATA: INFERENCE AND PRACTICAL ASPECTS