A comment on the orthogonalization of B-spline basis functions and their derivatives

DOI10.1007/s11222-010-9221-0zbMath1322.62034OpenAlexW1991295559MaRDI QIDQ746202

Andrew Redd

Publication date: 16 October 2015

Published in: Statistics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11222-010-9221-0

zbMATH Keywords

orthogonalizationB-splinesbasis functionsO-splines

Mathematics Subject Classification ID

Related Items (9)

Inference in functional linear quantile regression ⋮ Dyadic diagonalization of positive definite band matrices and efficient \(B\)-spline orthogonalization ⋮ Estimation in additive models with fixed censored responses ⋮ Multivariate analysis of variance for functional data ⋮ Evaluation of spline functions for digital filtering problems ⋮ Bayesian estimation of the functional spatial lag model ⋮ Compositional splines for representation of density functions ⋮ orthogonalsplinebasis ⋮ Additive Function-on-Function Regression

Uses Software

• CRAN

Cites Work

• Orthogonal splines based on \(B\)-splines -- with applications to least squares, smoothing and regularisation problems
• On the Cholesky factorization of the Gram matrix of locally supported functions
• Joint modelling of paired sparse functional data using principal components

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