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

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