Bounded optimal knots for regression splines

DOI10.1016/S0167-9473(02)00343-2zbMath1429.62131MaRDI QIDQ956824

Robert Sabatier, Jean-François Durand, Nicolas Molinari

Publication date: 26 November 2008

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

zbMATH Keywords

additive modelsAICBICbound constrained optimizationsurface estimationfree knots selection

Mathematics Subject Classification ID

Density estimation (62G07)

Related Items (9)

Generalizing the prediction sum of squares statistic and formula, application to linear fractional image warp and surface fitting ⋮ 2nd special issue on matrix computations and statistics ⋮ Nonlinear least-squares spline fitting with variable knots ⋮ Geometrically designed, variable knot regression splines ⋮ The use of restricted cubic splines to approximate complex hazard functions in the analysis of time-to-event data: a simulation study ⋮ Spatial interpolation of high-frequency monitoring data ⋮ Increasing the usefulness of additive spline models by knot removal ⋮ Data driven orthogonal basis selection for functional data analysis ⋮ Flow field forecasting for univariate time series

Uses Software

• Algorithm 611
• FITPACK

Cites Work

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• Flexible Parsimonious Smoothing and Additive Modeling
• Approximation to Data by Splines with Free Knots
• Automatic Bayesian Curve Fitting
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• Fitting Segmented Polynomial Regression Models Whose Join Points have to be Estimated
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
• Parallel algorithms for linear models. Numerical methods and estimation problems

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