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Imhof, Lorens A.; Studden, William J.

\(E\)-optimal designs for rational models. (English) Zbl 1012.62082

Ann. Stat. 29, No. 3, 763-783 (2001).
Summary: \(E\)-optimal and standardized-\(E\)-optimal designs for various types of rational regression models are determined. In most cases, optimal designs are found for every parameter subsystem. The design points and weights are given explicitly in terms of Bernstein-Szegő polynomials. The analysis is based on a general theorem on E-optimal designs for Chebyshev systems.

Cited in 10 Documents

MSC:

62K05 Optimal statistical designs
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\textit{L. A. Imhof} and \textit{W. J. Studden}, Ann. Stat. 29, No. 3, 763--783 (2001; Zbl 1012.62082)
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