Title page for etd-0625107-112338


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URN etd-0625107-112338
Author Sheng-Shian Wang
Author's Email Address No Public.
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Department Applied Mathematics
Year 2006
Semester 2
Degree Master
Type of Document
Language English
Title D-optimal designs for polynomial regression with
weight function exp(alpha x)
Date of Defense 2007-05-24
Page Count 20
Keyword
  • Squeeze Theorem
  • Legendre polynomial
  • Laguerre polynomial
  • D-Equivalence Theorem
  • asymptotic design
  • arcsin distribution
  • D-optimal design
  • Abstract Weighted polynomial regression of degree d with weight function Exp(α x) on an interval is considered. The D-optimal designs ξ_d^* are completely characterized via three differential equations. Some invariant properties of ξ_d^* under affine transformation are derived. The design ξ_d^* as d goes to 1, is shown to converge weakly to the arcsin distribution. Comparisons of ξ_d^* with the arcsin distribution are also made.
    Advisory Committee
  • Mong-Na Lo Huang - chair
  • Mei-Hui Guo - co-chair
  • Fu-Chuen Chang - advisor
  • Files
  • etd-0625107-112338.pdf
  • indicate not accessible
    Date of Submission 2007-06-25

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