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