This paper is concerned with the problem of computing theapproximate D-optimal design for polynomial regression with weight function w(x)>0 on the design interval I=[m_0-a,m_0+a]. It is shown that if w'(x)/w(x) is a rational function on I and a is close to zero, then the problem of constructing D-optimal designs can be transformed into a differential equation problem leading us to a certain matrix including a finite number of auxiliary unknown constants, which can be approximated by a Taylor expansion. We provide a recursive algorithm to compute Taylor expansion of these constants. Moreover, the D-optimal
interior support points are the zeros of a polynomial which has coefficients that can be computed from a linear system.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0620104-231204 |
| Date | 20 June 2004 |
| Creators | Chang, Sen-Fang |
| Contributors | Mong-Na Lo Huang, Fu-Chuen 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-0620104-231204 |
| Rights | unrestricted, Copyright information available at source archive |
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