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Activity Number: 620
Type: Contributed
Date/Time: Thursday, August 2, 2012 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #305524
Title: Exact D-Optimal Designs for First-Order Trigonometric Regression Models on a Partial Circle
Author(s): Fu-Chuen Chang*+ and Yi-Ying Sun and Lorens Imhof
Companies: National Sun Yat-sen University and National Sun Yat-sen University and Bonn University
Address: 70 Lien-Hai Rd., Kaohsiung 804, , Taiwan, Republic of China
Keywords: D-optimality ; exact design ; first order trigonometric mode ; majorization theorem ; moment set ; partial circle

Recently, various approximate design problems for low-degree trigonometric regression models on a partial circle have been solved. In this paper we consider approximate and exact optimal design problems for first-order trigonometric regression models without intercept on a partial circle. We investigate the intricate geometry of the non-convex exact trigonometric moment set and provide characterizations of its boundary. Building on these results we obtain a complete solution of the exact D-optimal design problem. It is shown that the structure of the optimal designs depends on both the length of the design interval and the number of observations.

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