The Annals of Statistics

E-optimal designs for rational models

Lorens Imhof and William J. Studden

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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 explicitlyin terms of Bernstein-Szegő polynomials.The analysis is based on a general theorem on E-optimal designs for Chebyshev systems.

Article information

Ann. Statist., Volume 29, Issue 3 (2001), 763-783.

First available in Project Euclid: 24 December 2001

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 62K05: Optimal designs

Approximate designs Bernstein-Szego polynomials Chebyshev systems E-criterion standardized criterion


Imhof, Lorens; Studden, William J. E -optimal designs for rational models. Ann. Statist. 29 (2001), no. 3, 763--783. doi:10.1214/aos/1009210689.

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