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.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0624111-092515 |
| Date | 24 June 2011 |
| Creators | Sun, Yi-Ying |
| Contributors | Mong-Na Lo Huang, Fu-Chuen Chang, Chung Chang, Mei-Hui Guo |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624111-092515 |
| Rights | unrestricted, Copyright information available at source archive |
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