E-optimal designs for rational models
Authors:
- Lorens ImhofLILorens Imhof
- William J. StuddenWSWilliam J. Studden
Open Access
- 1 June 2001
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Statistics
- Vol. 29 (3) , 763-783
Abstract
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.Keywords
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