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Twenty years of P-splines
dc.contributor.author | Eilers, Paul H.C. |
dc.contributor.author | Marx, Brian D. |
dc.contributor.author | Durbán, Maria |
dc.date.accessioned | 2016-07-05T15:21:40Z |
dc.date.available | 2016-07-05T15:21:40Z |
dc.date.issued | 2015-12 |
dc.identifier.citation | Eilers, Paul H.C.; Marx, Brian D.; Durbán, Maria. Twenty years of P-splines. "SORT", Desembre 2015, vol. 39, núm. 2, p. 149-186. |
dc.identifier.issn | 1696-2281 |
dc.identifier.uri | http://hdl.handle.net/2117/88526 |
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 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. |
dc.format.extent | 38 p. |
dc.language.iso | eng |
dc.publisher | Institut d'Estadística de Catalunya |
dc.relation.ispartof | SORT. 2015, Vol. 39, Núm. 2 |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica |
dc.subject.other | B-splines |
dc.subject.other | penalty |
dc.subject.other | additive model |
dc.subject.other | mixed model |
dc.subject.other | multidimensional smoothing |
dc.title | Twenty years of P-splines |
dc.type | Article |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::41 Approximations and expansions |
dc.subject.ams | Classificació AMS::62 Statistics::62G Nonparametric inference |
dc.subject.ams | Classificació AMS::62 Statistics::62J Linear inference, regression |
dc.rights.access | Open Access |
local.citation.publicationName | SORT |
local.citation.volume | 39 |
local.citation.number | 2 |
local.citation.startingPage | 149 |
local.citation.endingPage | 186 |