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D-optimal designs for weighted polynomial regression

✍ Scribed by Fu-Chuen Chang; Ge-Chen Lin

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
672 KB
Volume
62
Category
Article
ISSN
0378-3758

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✦ Synopsis

Using an Equivalence Theorem and the theory of Sturm Liouville systems, we determine the D-optimal designs for some classes of weighted polynomial regression of degree d on the interval [-1., 1]. We also show that the number of the optimal support points for such models is d+ 1. and that the optimal support points can be computed through a specific eigenvalue of a certain band matrix. Some results of Karlin and Studden (Ann. Math. Statist. 37 (1996), 783 815) turn out to be special cases of our results.

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