A unified framework for spline estimators

Schwarz, Katsiaryna

dc.contributor.advisor	Krivobokova, Tatyana Prof. Dr.	de
dc.contributor.author	Schwarz, Katsiaryna	de
dc.date.accessioned	2013-07-09T09:58:44Z	de
dc.date.available	2013-07-09T09:58:44Z	de
dc.date.issued	2013-07-09	de
dc.identifier.uri	http://hdl.handle.net/11858/00-1735-0000-0001-BAB2-C	de
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-3930
dc.language.iso	eng	de
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subject.ddc	510	de
dc.title	A unified framework for spline estimators	de
dc.type	doctoralThesis	de
dc.contributor.referee	Krivobokova, Tatyana Prof. Dr.	de
dc.date.examination	2013-01-24	de
dc.description.abstracteng	This 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.coReferee	Schlather, Martin Prof. Dr.	de
dc.contributor.thirdReferee	Schaback, Robert Prof. Dr.	de
dc.contributor.thirdReferee	Krajina, Andrea Prof. Dr.	de
dc.contributor.thirdReferee	Luke, Russell Prof. Dr.	de
dc.contributor.thirdReferee	Mihailescu, Preda Prof. Dr.	de
dc.subject.eng	B-splines	de
dc.subject.eng	Equivalent kernels	de
dc.subject.eng	Euler-Frobenius polynomials	de
dc.subject.eng	Exponential splines	de
dc.subject.eng	Demmler-Reinsch basis	de
dc.identifier.urn	urn:nbn:de:gbv:7-11858/00-1735-0000-0001-BAB2-C-3	de
dc.affiliation.institute	Fakultät für Mathematik und Informatik	de
dc.subject.gokfull	Mathematics (PPN61756535X)	de
dc.identifier.ppn	751503576	de

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