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A-optimal designs for weighted polynomial regression

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.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0705105-115854
Date05 July 2005
CreatorsSu, Yang-Chan
ContributorsFu-Chuen Chang, Mong-Na Lo Huang, 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-0705105-115854
Rightsunrestricted, Copyright information available at source archive

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