Robust functional linear regression based on splines

DOI10.1016/j.csda.2011.11.014zbMath1471.62132OpenAlexW2001853007MaRDI QIDQ1800106

Víctor J. Yohai, Ricardo Antonio Maronna

Publication date: 19 October 2018

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2011.11.014

zbMATH Keywords

MM estimatenatural splinesrobust ridge estimator

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Nonparametric regression and quantile regression (62G08) Functional data analysis (62R10) Linear regression; mixed models (62J05)

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Uses Software

• fda (R)
• robustbase
• ElemStatLearn

Cites Work

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• Functional linear regression after spline transformation
• High breakdown-point and high efficiency robust estimates for regression
• Smoothing splines estimators for functional linear regression
• Smoothing splines estimators in functional linear regression with errors-in-variables
• Flexible smoothing with \(B\)-splines and penalties. With comments and a rejoinder by the authors
• Applied functional data analysis. Methods and case studies
• Weighted least squares methods for prediction in the functional data linear model
• Functional data analysis.
• Robust nonparametric estimation for functional data
• High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale
• Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination
• Robust Statistics
• Quantile regression when the covariates are functions