Constrained D - and D 1-optimal designs for polynomial regression
| dc.contributor.author | Dette, Holger | de |
| dc.contributor.author | Franke, Tobias | de |
| dc.date.accessioned | 2004-12-06T18:42:55Z | |
| dc.date.available | 2004-12-06T18:42:55Z | |
| dc.date.issued | 2000 | de |
| dc.description.abstract | In the common polynomial regression model of degree m we consider the problem of determining the D- and D1 -optimal designs subject to certain constraints for the D1 - efficiencies in the models of degree m | en |
| dc.description.abstract | In the common polynomial regression model of degree m we consider the problem of determining the D- and D1-optimal designs subject to certain constraints for the D_1-efficiencies in the models of degree m - j;m - j + 1 ; : : : ;m+ k (m > j>=0; k>=0 given). We present a complete solution of these problems, which on the one hand allow a fast computation of the constrained optimal designs and on the other hand give an answer to on a combination of general equivalence theory with the theory of canonical moments. In the case of equal bounds for the D_1-effciencies the constrained optimal designs can be found explicitly by an application of recent results for associated orthogonal polynomials. | en |
| dc.format.extent | 267278 bytes | |
| dc.format.extent | 296859 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | application/postscript | |
| dc.identifier.uri | http://hdl.handle.net/2003/5044 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-15125 | |
| dc.language.iso | en | de |
| dc.publisher | Universitätsbibliothek Dortmund | de |
| dc.subject | constrained optimal designs | en |
| dc.subject | polynomial regression | en |
| dc.subject | D- and D_1-optimal designs | en |
| dc.subject | associated orthogonal polynomials | en |
| dc.subject.ddc | 310 | de |
| dc.title | Constrained D - and D 1-optimal designs for polynomial regression | en |
| dc.type | Text | de |
| dc.type.publicationtype | report | en |
| dcterms.accessRights | open access |