Authors: | Dette, Holger Kiss, Christine |
Title: | Optimal designs for rational regression models |
Language (ISO): | en |
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. |
Subject Headings: | Chebyshev systems optimal designs palindromic polynomials rational regression models |
URI: | http://hdl.handle.net/2003/29295 http://dx.doi.org/10.17877/DE290R-3273 |
Issue Date: | 2012-01-30 |
Appears in Collections: | Sonderforschungsbereich (SFB) 823 |
Files in This Item:
File | Description | Size | Format | |
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DP_0512_SFB823_Dette_Kiss.pdf | DNB | 316.16 kB | Adobe PDF | View/Open |
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