kNN robustification equivariant nonparametric regression estimators for functional ergodic data

DOI10.15672/hujms.1100871zbMath1524.62146OpenAlexW4309754714MaRDI QIDQ6157774

Unnamed Author, Omar Fetitah, Mohammed Attouch, Bouabsa Wahiba

Publication date: 22 June 2023

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.1100871

zbMATH Keywords

entropykernel estimatefunctional dataergodic datauniform almost complete convergence ratekNN estimation

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Functional data analysis (62R10) Nonparametric robustness (62G35) Nonparametric estimation (62G05)

Cites Work

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• Uniform consistency of \(k\mathrm{NN}\) regressors for functional variables
• Rates of strong consistencies of the regression function estimator for functional stationary ergodic data
• A \(k\)-nearest neighbor approach for functional regression
• Asymptotic properties of nonparametric M-estimation for mixing functional data
• On robust nonparametric regression estimation for a functional regressor
• KNN-kernel density-based clustering for high-dimensional multivariate data
• Higher order estimation at Lebesgue points
• Strong uniform convergence rates in robust nonparametric time series analysis and prediction: Kernel regression estimation from dependent observations
• Non-parametric estimation of conditional quantiles
• Kernel estimates under association: Strong uniform consistency
• Consistency properties of nearest neighbor density function estimators
• The strong uniform consistency of nearest neighbor density estimates
• Linear processes in function spaces. Theory and applications
• On the strong universal consistency of nearest neighbor regression function estimates
• Robust nonparametric regression estimation for dependent observations
• Optimal global rates of convergence for nonparametric regression
• A distribution-free theory of nonparametric regression
• Curse of dimensionality and related issues in nonparametric functional regression
• Nonparametric \(M\)-regression for functional ergodic data
• Convergence of functional \(k\)-nearest neighbor regression estimate with functional responses
• Strong convergence of robust equivariant nonparametric functional regression estimators
• Data-driven \(k\)NN estimation in nonparametric functional data analysis
• Nonparametric functional data analysis. Theory and practice.
• Asymptotic normality of a robust estimator of the regression function for functional time series data
• A robust nonparametric estimation of the autoregression function under an ergodic hypothesis
• Robust Regression for Functional Time Series Data
• Recursive kernel estimate of the conditional quantile for functional ergodic data
• Robust nonparametric estimation for functional data
• k-Nearest Neighbour method in functional nonparametric regression
• Estimation Non-paramétrique de la Régression: Revue Bibliographique
• Nonparametric modelling for functional data: selected survey and tracks for future
• Robust equivariant non parametric regression estimators for functional ergodic data
• The k nearest neighbors smoothing of the relative-error regression with functional regressor
• Asymptotic Distribution of Robust Estimator for Functional Nonparametric Models
• Asymptotic normality of a nonparametric estimator of the conditional mode function for functional data
• Estimation by the nearest neighbor rule
• Uniform consistency rate of kNN regression estimation for functional time series data

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