EconStor >
Technische Universität Dortmund >
Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen, Technische Universität Dortmund >
Technical Reports, SFB 475, TU Dortmund >

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10419/36619
  

Full metadata record

DC FieldValueLanguage
dc.contributor.authorDette, Holgeren_US
dc.contributor.authorMelas, Viatcheslav B.en_US
dc.date.accessioned2009-05-26en_US
dc.date.accessioned2010-07-15T10:08:03Z-
dc.date.available2010-07-15T10:08:03Z-
dc.date.issued2008en_US
dc.identifier.urihttp://hdl.handle.net/10419/36619-
dc.description.abstractIn the common linear regression model we consider the problem of designing experiments for estimating the slope of the expected response in a regression. We discuss locally optimal designs, where the experimenter is only interested in the slope at a particular point, and standardized minimax optimal designs, which could be used if precise estimation of the slope over a given region is required. General results on the number of support points of locally optimal designs are derived if the regression functions form a Chebyshev system. For polynomial regression and Fourier regression models of arbitrary degree the optimal designs for estimating the slope of the regression are determined explicitly for many cases of practical interest.en_US
dc.language.isoengen_US
dc.publisherUniv., SFB 475 Dortmunden_US
dc.relation.ispartofseriesTechnical Report // Sonderforschungsbereich 475, Komplexitätsreduktion in Multivariaten Datenstrukturen, Universität Dortmund 2008,21en_US
dc.subject.ddc310en_US
dc.subject.keywordlocally optimal designen_US
dc.subject.keywordstandardized minimax optimal designen_US
dc.subject.keywordestimating derivativesen_US
dc.subject.keywordpolynomial regressionen_US
dc.subject.keywordFourier regressionen_US
dc.titleOptimal designs for estimating the slope of a regressionen_US
dc.typeWorking Paperen_US
dc.identifier.ppn600405931en_US
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungen-
dc.identifier.repecRePEc:zbw:sfb475:200821-
Appears in Collections:Technical Reports, SFB 475, TU Dortmund

Files in This Item:
File Description SizeFormat
600405931.PDF156.44 kBAdobe PDF
No. of Downloads: Counter Stats
Show simple item record
Download bibliographical data as: BibTeX

Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.