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D-optimal designs for weighted polynomial regression-a function approach

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.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0727103-200620
Date27 July 2003
CreatorsLee, Mei-Yao
ContributorsMei-Hui Guo, Fu-Chuen Chang, 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-0727103-200620
Rightsunrestricted, Copyright information available at source archive

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