A Note on the Maximization of Matrix Valued Hankel Determinants with Applications
| dc.contributor.author | Dette, Holger | de |
| dc.contributor.author | Studden, W. J. | de |
| dc.date.accessioned | 2004-12-06T18:40:01Z | |
| dc.date.available | 2004-12-06T18:40:01Z | |
| dc.date.issued | 2003 | de |
| dc.description.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. | en |
| dc.format.extent | 147548 bytes | |
| dc.format.extent | 297262 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | application/postscript | |
| dc.identifier.uri | http://hdl.handle.net/2003/4936 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-15079 | |
| dc.language.iso | en | de |
| dc.publisher | Universitätsbibliothek Dortmund | de |
| dc.subject | matrix measures | en |
| dc.subject | Hankel matrix | en |
| dc.subject | orthogonal polynomials | en |
| dc.subject | spring balance weighing designs | en |
| dc.subject | approximate optimal designs | en |
| dc.subject.ddc | 310 | de |
| dc.title | A Note on the Maximization of Matrix Valued Hankel Determinants with Applications | en |
| dc.type | Text | de |
| dc.type.publicationtype | report | en |
| dcterms.accessRights | open access |