Robust designs for series estimation

dc.contributor.authorDette, Holger
dc.contributor.authorWiens, Douglas P.
dc.date.accessioned2007-10-25T11:54:22Z
dc.date.available2007-10-25T11:54:22Z
dc.date.issued2007-10-25T11:54:22Z
dc.description.abstractWe discuss optimal design problems for a popular method of series estimation in regression problems. Commonly used design criteria are based on the generalized variance of the estimates of the coefficients in a truncated series expansion and do not take possible bias into account. We present a general perspective of constructing robust and efficient designs for series estimators which is based on the integrated mean squared error criterion. A minimax approach is used to derive designs which are robust with respect to deviations caused by the bias and the possibility of heteroscedasticity. A special case results from the imposition of an unbiasedness constraint; the resulting “unbiased designs” are particularly simple, and easily implemented. Our results are illustrated by constructing robust designs for series estimation with spherical harmonic descriptors, Zernike polynomials and Chebyshev polynomials. Primary 62K05; secondary 62J05en
dc.identifier.urihttp://hdl.handle.net/2003/24793
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-3141
dc.language.isoende
dc.subjectChebyshev polynomialsen
dc.subjectDirect estimationen
dc.subjectMinimax designsen
dc.subjectRobust designsen
dc.subjectSeries estimationen
dc.subjectSpherical harmonic descriptorsen
dc.subjectUnbiased designen
dc.subjectZernike polynomialsen
dc.subject.ddc004
dc.titleRobust designs for series estimationen
dc.typeTextde
dc.type.publicationtypereporten
dcterms.accessRightsopen access

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