Weighted polynomial regression of degree d with weight function Exp(£\ x) on an interval is considered. The D-optimal designs £i_d^* are completely characterized via three differential equations. Some invariant properties of £i_d^* under affine transformation are derived. The design £i_d^* as d goes to 1, is shown to converge weakly to the arcsin distribution. Comparisons of £i_d^* with the arcsin distribution are also made.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0625107-112338 |
| Date | 25 June 2007 |
| Creators | Wang, Sheng-Shian |
| Contributors | Fu-Chuen Chang, Mei-Hui Guo, Mong-Na Lo Huang |
| 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-0625107-112338 |
| Rights | not_available, Copyright information available at source archive |
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