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D-optimal designs for polynomial regression with weight function exp(alpha x)

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.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0625107-112338
Date25 June 2007
CreatorsWang, Sheng-Shian
ContributorsFu-Chuen Chang, Mei-Hui Guo, Mong-Na Lo Huang
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0625107-112338
Rightsnot_available, Copyright information available at source archive

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