Fourier smoother and additive models

DOI10.2307/3315313zbMath0757.62019OpenAlexW2024658605MaRDI QIDQ4024617

Martin Bilodeau

Publication date: 4 February 1993

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315313

zbMATH Keywords

nonparametric regressionpredictorslinear fitgeneralized cross- validationestimation of additive componentsfinite-dimensional basis approximationfitting an additive modelmeteorological data setnonparametric scatterplot smootherpenalized least-squares loss functiontruncated Fourier series of cosines

Mathematics Subject Classification ID

Density estimation (62G07) Numerical smoothing, curve fitting (65D10) Numerical methods for trigonometric approximation and interpolation (65T40) Probabilistic methods, stochastic differential equations (65C99)

Related Items (7)

Robust estimation of the SUR model ⋮ The regression curve estimation by using mixed smoothing spline and kernel (MsS-K) model ⋮ Nonparametric regression model for longitudinal data with mixed truncated spline and Fourier series ⋮ Combination estimation of smoothing spline and Fourier series in nonparametric regression ⋮ Mixed spline smoothing and kernel estimator in biresponse nonparametric regression ⋮ Mixture model of spline truncated and kernel in multivariable nonparametric regression ⋮ Fourier series approximation of separable models

Cites Work

• Linear smoothers and additive models
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Estimating Optimal Transformations for Multiple Regression and Correlation
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