Twenty years of P-splines

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 e...

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Detalles Bibliográficos
Autores: Eilers, Paul H.C., Marx, Brian D., Durbán, Maria
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/88526
Acceso en línea:https://hdl.handle.net/2117/88526
Access Level:acceso abierto
Palabra clave:B-splines
penalty
additive model
mixed model
multidimensional smoothing
Classificació AMS::41 Approximations and expansions
Classificació AMS::62 Statistics::62G Nonparametric inference
Classificació AMS::62 Statistics::62J Linear inference, regression
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
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repository_id_str
spelling Twenty years of P-splinesEilers, Paul H.C.Marx, Brian D.Durbán, MariaB-splinespenaltyadditive modelmixed modelmultidimensional smoothingClassificació AMS::41 Approximations and expansionsClassificació AMS::62 Statistics::62G Nonparametric inferenceClassificació AMS::62 Statistics::62J Linear inference, regressionÀrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàticaP-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.Peer ReviewedInstitut d'Estadística de Catalunya20152015-12-0120162016-07-05journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/88526reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/885262026-05-27T15:37:01Z
dc.title.none.fl_str_mv Twenty years of P-splines
title Twenty years of P-splines
spellingShingle Twenty years of P-splines
Eilers, Paul H.C.
B-splines
penalty
additive model
mixed model
multidimensional smoothing
Classificació AMS::41 Approximations and expansions
Classificació AMS::62 Statistics::62G Nonparametric inference
Classificació AMS::62 Statistics::62J Linear inference, regression
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
title_short Twenty years of P-splines
title_full Twenty years of P-splines
title_fullStr Twenty years of P-splines
title_full_unstemmed Twenty years of P-splines
title_sort Twenty years of P-splines
dc.creator.none.fl_str_mv Eilers, Paul H.C.
Marx, Brian D.
Durbán, Maria
author Eilers, Paul H.C.
author_facet Eilers, Paul H.C.
Marx, Brian D.
Durbán, Maria
author_role author
author2 Marx, Brian D.
Durbán, Maria
author2_role author
author
dc.subject.none.fl_str_mv B-splines
penalty
additive model
mixed model
multidimensional smoothing
Classificació AMS::41 Approximations and expansions
Classificació AMS::62 Statistics::62G Nonparametric inference
Classificació AMS::62 Statistics::62J Linear inference, regression
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
topic B-splines
penalty
additive model
mixed model
multidimensional smoothing
Classificació AMS::41 Approximations and expansions
Classificació AMS::62 Statistics::62G Nonparametric inference
Classificació AMS::62 Statistics::62J Linear inference, regression
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
description 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.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-12-01
2016
2016-07-05
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/88526
url https://hdl.handle.net/2117/88526
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institut d'Estadística de Catalunya
publisher.none.fl_str_mv Institut d'Estadística de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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