Title page for etd-0623108-130055


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URN etd-0623108-130055
Author Yung-chia Lin
Author's Email Address m952040004@student.nsysu.edu.tw
Statistics This thesis had been viewed 5069 times. Download 1173 times.
Department Applied Mathematics
Year 2007
Semester 2
Degree Master
Type of Document
Language English
Title An Arcsin Limit Theorem of Minimally-Supported
D-Optimal Designs for Weighted Polynomial
Regression
Date of Defense 2008-05-30
Page Count 19
Keyword
  • 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
  • Abstract 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/√(α-x^2), α>1, as α→1+.
    Advisory Committee
  • Mong-Na Lo Huang - chair
  • Mei-Hui Guo - co-chair
  • Fu-Chuen Chang - advisor
  • Files
  • etd-0623108-130055.pdf
  • indicate accessible in a year
    Date of Submission 2008-06-23

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