E-Optimal Designs for Polynomial Regression
Friedrich Pukelsheim, William J. Studden
The Annals of Statistics · 1993 · Volume 21 · Issue 1
Abstract
E-optmal designs for the full mean parameter vector, and for many subsets in univariate polynomial regression models are determined. The derivation is based on the interplay between E-optimality and scalar optimality. The scalar parameter systems are obtained as transformations of the coefficient vector c of the Chebyshev polynomial.
Keywords
62K05; approximate design theory; Chebyshev polynomial; c-optimality; E-optimality; parameter subset optimality; polynomial regression;
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