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An Arcsin Limit Theorem of Minimally-Supported D-Optimal Designs for Weighted Polynomial Regression

Consider the minimally-supported D-optimal designs for dth degree polynomial regression with bounded and positive weight function on a compact interval. We show that the optimal design converges weakly to the arcsin distribution as d goes to infinity. Comparisons of the optimal design with the arcsin distribution and D-optimal arcsin support design by D-efficiencies are also given. We also show that if the design interval is [−1, 1], then the minimally-supported D-optimal design converges to the D-optimal arcsin support design with the specific weight function 1/¡Ô(£\-x^2), £\>1, as £\¡÷1+.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0623108-130055
Date23 June 2008
CreatorsLin, Yung-chia
ContributorsMong-Na Lo Huang, Fu-Chuen Chang, Mei-Hui Guo
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-0623108-130055
Rightswithheld, Copyright information available at source archive

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