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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"chebyshev polynomial off second kind"" "subject:"chebyshev polynomial oof second kind""

1

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

Lin, Yung-chia 23 June 2008 (has links)
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+.
asymptotic design
arcsin distribution
D-Equivalence Theorem
Chebyshev polynomial of second kind
D-optimal arcsin support design
minimally-supported D-optimal design
Squeeze Theorem
D-efficiency
Legendre polynomial

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