Optimal designs for rational regression models
| dc.contributor.author | Dette, Holger | |
| dc.contributor.author | Kiss, Christine | |
| dc.date.accessioned | 2012-01-30T10:18:27Z | |
| dc.date.available | 2012-01-30T10:18:27Z | |
| dc.date.issued | 2012-01-30 | |
| dc.description.abstract | In this paper we consider locally optimal designs problems for rational regression models. In the case where the degrees of polynomials in the numerator and denominator differ by at most 1 we identify an invariance property of the optimal designs if the denominator polynomial is palindromic, which reduces the optimization problem by 50%. The results clarify and extend the particular structure of locally c-, D- and E optimal designs for inverse quadratic regression models which have recently been found by Haines (1992) and Dette and Kiss (2009). We also investigate the relation between the D-optimal designs for the Michaelis Menten and EMAX-model from a more general point of view. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/29295 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-3273 | |
| dc.language.iso | en | de |
| dc.relation.ispartofseries | Discussion Paper / SFB 823;5/2012 | en |
| dc.subject | Chebyshev systems | en |
| dc.subject | optimal designs | en |
| dc.subject | palindromic polynomials | en |
| dc.subject | rational regression models | en |
| dc.subject.ddc | 310 | |
| dc.subject.ddc | 330 | |
| dc.subject.ddc | 620 | |
| dc.title | Optimal designs for rational regression models | en |
| dc.type | Text | de |
| dc.type.publicationtype | workingPaper | de |
| dcterms.accessRights | open access |