Regularisation and P-splines in generalised linear models

DOI10.1080/10485250903365900zbMath1189.62067OpenAlexW2041369803MaRDI QIDQ3569201

Irène Gijbels, Anneleen Verhasselt

Publication date: 18 June 2010

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

Full work available at URL: https://doi.org/10.1080/10485250903365900

zbMATH Keywords

B-splinesAkaike's information criterionnonparametric statisticspenalised regressiondifference penaltygeneralised linear modellingregression and smoothing

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Numerical computation using splines (65D07) Generalized linear models (logistic models) (62J12)

Related Items (1)

Nonparametric estimation of mean and dispersion functions in extended generalized linear models

Uses Software

• SemiPar
• FITPACK
• ElemStatLearn

Cites Work

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• Flexible smoothing with \(B\)-splines and penalties. With comments and a rejoinder by the authors
• Local asymptotics for regression splines and confidence regions
• Approximation Theorems of Mathematical Statistics
• On the Asymptotic Distribution of Pearson's Statistic in Linear Exponential-Family Models
• Flexible Parsimonious Smoothing and Additive Modeling
• Semiparametric Regression
• Fast Local Reconstruction Methods for Nonuniform Sampling in Shift-Invariant Spaces
• The elements of statistical learning. Data mining, inference, and prediction

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