Local Weighted Average Estimation of the Regression Operator for Functional Data

DOI10.1080/03610921003778209zbMath1227.62025OpenAlexW1983114139MaRDI QIDQ3100639

Mohamed El Methni, Mustapha Rachdi

Publication date: 18 November 2011

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

Full work available at URL: https://doi.org/10.1080/03610921003778209

zbMATH Keywords

local polynomial fittingnonparametric modelquadratic errorsmall ball probabilitiesfunctional fixed-design datasmall ball frequencies

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Applications of functional analysis in probability theory and statistics (46N30)

Related Items (14)

Theoretical and practical aspects of the quadratic error in the local linear estimation of the conditional density for functional data ⋮ Regression operator estimation by delta-sequences method for functional data and its applications ⋮ Local linear regression modelization when all variables are curves ⋮ Regression model for surrogate data in high dimensional statistics ⋮ FDA: theoretical and practical efficiency of the local linear estimation based on the kNN smoothing of the conditional distribution when there are missing data ⋮ Local polynomial modelling of the conditional quantile for functional data ⋮ Unnamed Item ⋮ Asymptotic normality of conditional mode estimation for functional dependent data ⋮ Unnamed Item ⋮ Functional data analysis: estimation of the relative error in functional regression under random left-truncation model ⋮ On the local linear modelization of the conditional distribution for functional data ⋮ Exact Quadratic Error of the Local Linear Regression Operator Estimator for Functional Covariates ⋮ Local linear estimation of the conditional density for functional data. ⋮ LOCAL LINEAR MODELLING OF THE CONDITIONAL DISTRIBUTION FUNCTION FOR FUNCTIONAL ERGODIC DATA

Cites Work

• Unnamed Item
• Consistency of the regression estimator with functional data under long memory conditions
• Local linear regression for functional predictor and scalar response
• Additive prediction and boosting for functional data
• Distance-based local linear regression for functional predictors
• Local smoothing regression with functional data
• Rate of uniform consistency for nonparametric estimates with functional variables
• Estimation of the regression operator from functional fixed-design with correlated errors
• Statistical tools to analyze data representing a sample of curves
• Functional data analysis
• Kernel-based functional principal components
• Applied functional data analysis. Methods and case studies
• Nonparametric time series prediction: A semi-functional partial linear modeling
• Nonparametric regression for functional data: automatic smoothing parameter selection
• Erratum of: ‘Non-parametric models for functional data, with application in regression, time-series prediction and curve discrimination’
• Locally modelled regression and functional data
• Design-adaptive Nonparametric Regression
• A Statistical View of Some Chemometrics Regression Tools
• Linear functional regression: The case of fixed design and functional response

This page was built for publication: Local Weighted Average Estimation of the Regression Operator for Functional Data