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P-spline anova-type interaction models for spatio-temporal smoothing

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dc.affiliation.dptoUC3M. Departamento de Estadísticaes
dc.contributor.authorLee, Dae-Jin
dc.contributor.authorDurbán, María
dc.contributor.editorUniversidad Carlos III de Madrid. Departamento de Estadística
dc.date.accessioned2009-06-04T13:22:07Z
dc.date.available2009-06-04T13:22:07Z
dc.date.issued2009-06
dc.description.abstractIn recent years, spatial and spatio-temporal modelling have become an important area of research in many fields (epidemiology, environmental studies, disease mapping, ...). However, most of the models developed are constrained by the large amounts of data available. We propose the use of Penalized splines (P-splines) in a mixed model framework for smoothing spatio-temporal data. Our approach allows the consideration of interaction terms which can be decomposed as a sum of smooth functions similarly as an ANOVA decomposition. The properties of the bases used for regression allow the use of algorithms that can handle large amount of data. We show that imposing the same constraints as in a factorial design it is possible to avoid identifiability problems. We illustrate the methodology for Europe ozone levels in the period 1999-2005.
dc.format.mimetypeapplication/pdf
dc.identifier.repecws093312
dc.identifier.urihttps://hdl.handle.net/10016/4351
dc.language.isoeng
dc.relation.ispartofseriesUC3M Working Paper. Statistics and Econometrics
dc.relation.ispartofseries09-33
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.ecienciaEstadística
dc.subject.otherANOVA decomposition
dc.subject.otherMixed models
dc.subject.otherPenalized Splines
dc.subject.otherSpatiotemporal data
dc.titleP-spline anova-type interaction models for spatio-temporal smoothing
dc.typeworking paper*
dspace.entity.typePublication
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