D-optimal designs for weighted polynomial regression

Zhide Fang

Statistics & Probability Letters, 2003, vol. 63, issue 2, 205-213

Abstract: By utilizing the equivalence theorem and Descartes's rule of signs, we construct D-optimal designs for a weighted polynomial regression model of degree k, with specific weight function w(x)=1/(a2-x2)[delta], on the compact interval [-1,1]. The main result shows that in most cases, the number of support points of the D-optimal design is k+1, while in other cases, the D-optimal design has k+2 support points.

Keywords: Approximate; design; Descartes's; rule; of; signs; Equivalence; theorem; Weighted; polynomial; regression (search for similar items in EconPapers)
Date: 2003
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