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A unified framework for spline estimators

dc.contributor.advisorKrivobokova, Tatyana Prof. Dr.de
dc.contributor.authorSchwarz, Katsiarynade
dc.date.accessioned2013-07-09T09:58:44Zde
dc.date.available2013-07-09T09:58:44Zde
dc.date.issued2013-07-09de
dc.identifier.urihttp://hdl.handle.net/11858/00-1735-0000-0001-BAB2-Cde
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-3930
dc.language.isoengde
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subject.ddc510de
dc.titleA unified framework for spline estimatorsde
dc.typedoctoralThesisde
dc.contributor.refereeKrivobokova, Tatyana Prof. Dr.de
dc.date.examination2013-01-24de
dc.description.abstractengThis dissertation develops a uni ed framework to study the (asymptotic) properties of all (periodic) spline based estimators, that is of regression, penalized and smoothing splines. The explicit form of the periodic Demmler-Reinsch basis of general degree in terms of exponential splines allows to derive the exact expression for the equivalent kernel of all spline estimators simultaneously. The corresponding bandwidth, which drives the asymptotic behavior of spline estimators, is shown to be a function of both the number of knots and the smoothing parameter. A strategy for the optimal bandwidth selection is discussed.de
dc.contributor.coRefereeSchlather, Martin Prof. Dr.de
dc.contributor.thirdRefereeSchaback, Robert Prof. Dr.de
dc.contributor.thirdRefereeKrajina, Andrea Prof. Dr.de
dc.contributor.thirdRefereeLuke, Russell Prof. Dr.de
dc.contributor.thirdRefereeMihailescu, Preda Prof. Dr.de
dc.subject.engB-splinesde
dc.subject.engEquivalent kernelsde
dc.subject.engEuler-Frobenius polynomialsde
dc.subject.engExponential splinesde
dc.subject.engDemmler-Reinsch basisde
dc.identifier.urnurn:nbn:de:gbv:7-11858/00-1735-0000-0001-BAB2-C-3de
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematics (PPN61756535X)de
dc.identifier.ppn751503576de


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