Title page for etd-0621107-164501


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URN etd-0621107-164501
Author Chiang-Yuan Mao
Author's Email Address m942040002@student.nsysu.edu.tw
Statistics This thesis had been viewed 5067 times. Download 1757 times.
Department Applied Mathematics
Year 2006
Semester 2
Degree Master
Type of Document
Language English
Title Ds-optimal designs for weighted polynomial regression
Date of Defense 2007-05-24
Page Count 24
Keyword
  • weighted polynomial regression
  • recursive algorithm
  • Taylor expansion
  • Implicit Function Theorem
  • Ds-Equivalence Theorem
  • Ds-optimal design
  • Chebyshev polynomial
  • Abstract This paper is devoted to studying the problem of constructing Ds-optimal design for d-th degree polynomial regression with analytic weight function
    on the interval [m-a,m+a],m,a in R. It is demonstrated that the structure of the optimal design depends on d, a and weight function only, as a close to 0. Moreover, the Taylor polynomials of the scaled versions of the optimal support points and weights can be computed via a recursive formula.
    Advisory Committee
  • Mong-Na Lo - chair
  • Mei-Hui Guo - co-chair
  • Fu-Chuen Chang - advisor
  • Files
  • etd-0621107-164501.pdf
  • indicate access worldwide
    Date of Submission 2007-06-21

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