Functional local linear estimate for functional relative-error regression

DOI10.1080/15598608.2017.1321071zbMath1419.62082OpenAlexW2609439387MaRDI QIDQ2321814

Ali Laksaci, Abdelkader Chahad, Larbi Ait-Hennani

Publication date: 23 August 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2017.1321071

zbMATH Keywords

local linear estimatenonparametric regressionrelative errorkernel estimatefunctional data

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Asymptotic properties of nonparametric inference (62G20)

Related Items (5)

Strong consistency of the local linear relative regression estimator for censored data ⋮ The k nearest neighbors smoothing of the relative-error regression with functional regressor ⋮ FDA: strong consistency of the kNN local linear estimation of the functional conditional density and mode ⋮ Unnamed Item ⋮ Nonparametric local linear estimation of the relative error regression function for twice censored data

Uses Software

• fda (R)

Cites Work

• Unnamed Item
• An introduction to recent advances in high/infinite dimensional statistics
• Relative-error prediction in nonparametric functional statistics: theory and practice
• General relative error criterion and M-estimation
• A partial overview of the theory of statistics with functional data
• Local linear spatial quantile regression
• Local linear regression for functional data
• Relative error prediction via kernel regression smoothers
• Asymptotic properties of nonparametric M-estimation for mixing functional data
• Local linear regression for functional predictor and scalar response
• Rate of uniform consistency for nonparametric estimates with functional variables
• Consistent nonparametric regression. Discussion
• Linear processes in function spaces. Theory and applications
• Applied functional data analysis. Methods and case studies
• Nonparametric functional data analysis. Theory and practice.
• Asymptotic normality of locally modelled regression estimator for functional data
• Locally modelled regression and functional data
• k-Nearest Neighbour method in functional nonparametric regression
• Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems
• Prediction, Linear Regression and the Minimum Sum of Relative Errors
• MULTIVARIATE LOCAL POLYNOMIAL REGRESSION FOR TIME SERIES:UNIFORM STRONG CONSISTENCY AND RATES
• Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
• Analysis of Variance for Functional Data

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