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Ds-optimal designs for weighted polynomial regression

This paper is devoted to studying the problem of constructing Ds-optimal design for d-th degree polynomial regression with analytic weight function
on the interval [m-a,m+a],m,a in R. It is demonstrated that the structure of the optimal design depends on d, a and weight function only, as a close to 0. Moreover, the Taylor polynomials of the scaled versions of the optimal support points and weights can be computed via a recursive formula.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0621107-164501
Date21 June 2007
CreatorsMao, Chiang-Yuan
ContributorsFu-Chuen Chang, Mong-Na Lo, 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-0621107-164501
Rightsunrestricted, Copyright information available at source archive

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