Title page for etd-0630105-093704


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URN etd-0630105-093704
Author Chin-Han Li
Author's Email Address m922040030@student.nsysu.edu.tw
Statistics This thesis had been viewed 5062 times. Download 1523 times.
Department Applied Mathematics
Year 2004
Semester 2
Degree Master
Type of Document
Language English
Title D-optimal designs for combined polynomial and trigonometric regression on a partial circle
Date of Defense 2005-05-26
Page Count 21
Keyword
  • polynomial regression
  • recursive algorithm
  • trigonometric regression
  • Taylor expansion
  • implicit function theorem
  • D-optimal
  • Abstract Consider the D-optimal designs for a combined polynomial of degree d and trigonometric of order m regression on a partial circle [see Graybill (1976), p. 324]. It is shown that the structure of the optimal design depends only on
    the length of the design interval and that the support points are analytic functions of this parameter. Moreover, the Taylor expansion of the optimal support points can be determined efficiently by a recursive procedure.
    Advisory Committee
  • Mong-Na Lo Huang - chair
  • Mei-Hui Guo - co-chair
  • Fu-Chuen Chang - advisor
  • Files
  • etd-0630105-093704.pdf
  • indicate access worldwide
    Date of Submission 2005-06-30

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