Optimal designs for rational regression models
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Date
2012-01-30
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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.
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Keywords
Chebyshev systems, optimal designs, palindromic polynomials, rational regression models