Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/49340
Authors: 
Dette, Holger
Studden, W. J.
Year of Publication: 
2003
Series/Report no.: 
Technical Report // Universität Dortmund, SFB 475 Komplexitätsreduktion in Multivariaten Datenstrukturen 2003,09
Abstract: 
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.
Subjects: 
Matrix measures
Hankel matrix
orthogonal polynomials
approximate optimal designs
spring balance weighing designs
Document Type: 
Working Paper

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