This paper is concerned with the problem of constructing
A-optimal design for polynomial regression with analytic weight
function on the interval [m-a,m+a]. It is
shown that the structure of the optimal design depends on a and
weight function only, as a close to 0. Moreover, if the weight
function is an analytic function a, then a scaled version of
optimal support points and weights is analytic functions of a at
$a=0$. We make use of a Taylor expansion which coefficients can be
determined recursively, for calculating the A-optimal designs.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0705105-115854 |
| Date | 05 July 2005 |
| Creators | Su, Yang-Chan |
| Contributors | Fu-Chuen Chang, Mong-Na Lo Huang, 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-0705105-115854 |
| Rights | unrestricted, Copyright information available at source archive |
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