On the local linear estimate for functional regression: Uniform in bandwidth consistency

DOI10.1080/03610926.2018.1440308OpenAlexW2794854222WikidataQ130062693 ScholiaQ130062693MaRDI QIDQ5078378

Mohammed Attouch, Fatima Rafaa, Ali Laksaci

Publication date: 23 May 2022

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

Full work available at URL: https://doi.org/10.1080/03610926.2018.1440308

zbMATH Keywords

functional data analysisbandwidth parameteralmost complete consistencyfunctional local linear regressionUIB consistency

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20) Martingales with discrete parameter (60G42) Nonparametric estimation (62G05)

Related Items (5)

Local linear estimation of the regression function for twice censored data ⋮ k‐Nearest neighbors local linear regression for functional and missing data at random ⋮ Weak-convergence of empirical conditional processes and conditional \(U\)-processes involving functional mixing data ⋮ Nonparametric local linear estimation of the relative error regression function for twice censored data ⋮ Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data

Cites Work

• An introduction to recent advances in high/infinite dimensional statistics
• A Bayesian approach for determining the optimal semi-metric and bandwidth in scalar-on-function quantile regression with unknown error density and dependent functional data
• Adaptive estimation in the functional nonparametric regression model
• Uniform-in-bandwidth functional limit laws
• Uniform consistency of \(k\mathrm{NN}\) regressors for functional variables
• Local linear regression for functional data
• Local linear regression for functional predictor and scalar response
• Distance-based local linear regression for functional predictors
• Local smoothing regression with functional data
• Statistics for functional data
• Weak convergence and empirical processes. With applications to statistics
• Nonparametric functional data analysis. Theory and practice.
• Nonparametric regression for functional data: automatic smoothing parameter selection
• Asymptotic normality of locally modelled regression estimator for functional data
• Uniform in bandwidth consistency of kernel regression estimators at a fixed point
• Locally modelled regression and functional data
• Uniform in bandwidth consistency for various kernel estimators involving functional data
• NONPARAMETRIC REGRESSION ON FUNCTIONAL DATA: INFERENCE AND PRACTICAL ASPECTS
• Unnamed Item

This page was built for publication: On the local linear estimate for functional regression: Uniform in bandwidth consistency