Arbeitspapier
An note on the maximization of matrix valued Hankel determinants with application
In this note we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one dimensional) orthogonal polynomials. The results generalize classical work of Schoenberg (1959) to the case of matrix measures. As a statistical application we consider several optimal design problems in linear models, which generalize the classical weighing design problems.
- Language
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Englisch
- Bibliographic citation
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Series: Technical Report ; No. 2003,09
- Subject
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Matrix measures
Hankel matrix
orthogonal polynomials
approximate optimal designs
spring balance weighing designs
- Event
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Geistige Schöpfung
- (who)
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Dette, Holger
Studden, W. J.
- Event
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Veröffentlichung
- (who)
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Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
- (where)
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Dortmund
- (when)
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2003
- Handle
- Last update
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10.03.2025, 11:44 AM CET
Data provider
This object is provided by:
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ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Dette, Holger
- Studden, W. J.
- Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
Time of origin
- 2003
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