Local linear smoothing in additive models as data projection

DOI10.1007/978-3-031-30114-8_5arXiv2201.10930MaRDI QIDQ6119049

Joseph T. Meyer, Munir Hiabu, Enno Mammen

Publication date: 22 March 2024

Published in: Foundations of Modern Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10930

zbMATH Keywords

additive modelskernel smoothinglocal linear estimationbackfittingdata projection

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• The existence and asymptotic properties of a backfitting projection algorithm under weak conditions
• A general projection framework for constrained smoothing.
• Smooth backfitting for errors-in-variables additive models
• Optimal global rates of convergence for nonparametric regression
• Additive regression with Hilbertian responses
• Smooth backfitting in generalized additive models
• Nonparametric estimation of noisy integral equations of the second kind
• Generalised structured models
• Structural Tests in Additive Regression
• Additive Functional Regression for Densities as Responses

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