Twenty years of P-splines
Eilers, Paul H.C. (Erasmus MC Universitair Medisch Centrum Rotterdam)
Marx, Brian D. (Louisiana State University. Department of Experimental Statistics)
Durbán, Maria (Universidad Carlos III de Madrid. Departamento de Estadística)

Date: 2015
Abstract: P-splines first appeared in the limelight twenty years ago. Since then they have become popular in applications and in theoretical work. The combination of a rich B-spline basis and a simple difference penalty lends itself well to a variety of generalizations, because it is based on regression. In effect, P-splines allow the building of a "backbone" for the "mixing and matching" of a variety of additive smooth structure components, while inviting all sorts of extensions: varying-coefficient effects, signal (functional) regressors, two-dimensional surfaces, non-normal responses, quantile (expectile) modelling, among others. Strong connections with mixed models and Bayesian analysis have been established. We give an overview of many of the central developments during the first two decades of P-splines.
Rights: Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. Creative Commons
Language: Anglès
Document: article ; recerca ; publishedVersion
Subject: B-splines ; Penalty ; Additive model ; Mixed model ; Multidimensional smoothing
Published in: SORT : statistics and operations research transactions, Vol. 39 Núm. 2 (July-December 2015) , p. 149-186 (Invited articles) , ISSN 2013-8830

Adreça alternativa: https://www.raco.cat/index.php/SORT/article/view/302258


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 Record created 2015-12-23, last modified 2021-04-07



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