✦ LIBER ✦

A functional-algebraic determination of D-optimal designs for trigonometric regression models on a partial circle

✍ Scribed by Holger Dette; Viatcheslav B. Melas; Stefanie Biedermann

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 110 KB
Volume: 58
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(02)00152-9

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✦ Synopsis

We investigate the D-optimal design problem in the common trigonometric regression model, where the design space is a partial circle. The task of maximizing the criterion function is transformed into the problem of determining an eigenvalue of a certain matrix via a di erential equation approach. Since this eigenvalue is an analytic function of the length of the design space, we can make use of a Taylor expansion to provide a recursive algorithm for its calculation. Finally, this enables us to determine Taylor expansions for the support points of the D-optimal design.

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