Twenty years of P-splines

Eilers, Paul H.C.; Marx, Brian D.; Durbán Reguera, María Luz

Publication:
Twenty years of P-splines

dc.affiliation.dpto	UC3M. Departamento de Estadística	es
dc.contributor.author	Eilers, Paul H.C.
dc.contributor.author	Marx, Brian D.
dc.contributor.author	Durbán Reguera, María Luz
dc.date.accessioned	2021-07-12T11:38:55Z
dc.date.available	2021-07-12T11:38:55Z
dc.date.issued	2015-10-01
dc.description.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 dif- ference 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 analy- sis have been established. We give an overview of many of the central developments during the first two decades of P-splines.	en
dc.identifier.bibliographicCitation	Eilers, P. H. C., Marx, B. D., & Durbán, M. (2015). Twenty years of P-splines (invited article) [JD]. SORT. Statistics and Operations Research Transactions, 39, 149–186.
dc.identifier.doi	https://doi.org/10.2436/20.8080.02.25
dc.identifier.issn	1696-2281
dc.identifier.publicationfirstpage	149
dc.identifier.publicationissue	2
dc.identifier.publicationlastpage	189
dc.identifier.publicationtitle	SORT-Statistics and Operations Research Transactions
dc.identifier.publicationvolume	39
dc.identifier.uri	https://hdl.handle.net/10016/33039
dc.identifier.uxxi	AR/0000017653
dc.language.iso	eng
dc.publisher	Statistical Institute of Catalonia (IDESCAT)
dc.relation.publisherversion	https://www.idescat.cat/sort/artpublished.html
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRights	open access
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.eciencia	Estadística	es
dc.subject.other	B-Splines	en
dc.subject.other	Penalty	en
dc.subject.other	Additive model	en
dc.subject.other	Mixed model	en
dc.subject.other	Multidimensional smoothing	en
dc.subject.other	Structured additive regression	en
dc.subject.other	Varying coefficient models	en
dc.subject.other	Single index models	en
dc.subject.other	Penalized signal regression	en
dc.subject.other	Generalized linear models	en
dc.subject.other	Composite link model	en
dc.subject.other	Space time data	en
dc.subject.other	Semiparametric regression	en
dc.subject.other	Maximum likelihood	en
dc.title	Twenty years of P-splines	en
dc.type	research article	*
dc.type.hasVersion	VoR	*
dspace.entity.type	Publication