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...

Descripción completa

Detalles Bibliográficos
Autores: Eilers, Paul H. C., Marx, Brian D., Durbán, Maria
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:144970
Acceso en línea:https://ddd.uab.cat/record/144970
Access Level:acceso abierto
Palabra clave:B-splines
Penalty
Additive model
Mixed model
Multidimensional smoothing
id ES_3ca40d316af5b2c7b5d925e33d0ea87f
oai_identifier_str oai:ddd.uab.cat:144970
network_acronym_str ES
network_name_str España
repository_id_str
spelling Twenty years of P-splinesEilers, Paul H. C.Marx, Brian D.Durbán, MariaB-splinesPenaltyAdditive modelMixed modelMultidimensional smoothingP-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. 22015-01-0120152015-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/144970reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, 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.https://creativecommons.org/licenses/by-nc-nd/3.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1449702026-06-06T12:50:31Z
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
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
topic B-splines
Penalty
Additive model
Mixed model
Multidimensional smoothing
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 2
2015-01-01
2015
2015-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/144970
url https://ddd.uab.cat/record/144970
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
https://creativecommons.org/licenses/by-nc-nd/3.0/
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
https://creativecommons.org/licenses/by-nc-nd/3.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869406388606730241
score 15,300719

Similares en LA Referencia