This paper is concerned with the problem of computing approximate
D-optimal design for polynomial regression with analytic weight
function on the interval [m_0-a,m_0+a]. It is shown that the
problem of constructing D-optimal designs for weighted
polynomial regression is equivalent to that of finding D-optimal designs for polynomial regression with weight function |x|^s on the interval [-1,1] as a to 0. By using
Taylor expansion we provide a recursive algorithm such that the
D-optimal designs for weighted polynomial regression on a
neighborhood of m_0 can be determined.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0727103-200620 |
| Date | 27 July 2003 |
| Creators | Lee, Mei-Yao |
| Contributors | Mei-Hui Guo, Fu-Chuen Chang, 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-0727103-200620 |
| Rights | unrestricted, Copyright information available at source archive |
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