Title page for etd-0624111-092515


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URN etd-0624111-092515
Author Yi-Ying Sun
Author's Email Address No Public.
Statistics This thesis had been viewed 5096 times. Download 925 times.
Department Applied Mathematics
Year 2010
Semester 2
Degree Master
Type of Document
Language English
Title Exact D-optimal Designs for First-order Trigonometric Regression Models on a Partial Circle
Date of Defense 2011-06-15
Page Count 26
Keyword
  • partial circle
  • majorization theorem
  • D-optimality
  • first order trigonometric model
  • exact design
  • moment set
  • approximate design
  • Abstract Recently, various approximate design problems for low-degree trigonometric regression models on a partial circle have been solved. In this paper we consider approximate and exact optimal design problems for first-order trigonometric regression models without intercept on a partial circle. We investigate the intricate geometry of the non-convex exact trigonometric moment set and provide characterizations of its boundary. Building on these results we obtain a complete solution of the exact D-optimal design problem. It is shown that the structure of the optimal designs depends on both the length of the design interval and the number of observations.
    Advisory Committee
  • Mong-Na Lo Huang - chair
  • Chung Chang - co-chair
  • Mei-Hui Guo - co-chair
  • Fu-Chuen Chang - advisor
  • Files
  • etd-0624111-092515.pdf
  • indicate access worldwide
    Date of Submission 2011-06-24

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