Title page for etd-0705105-115854


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URN etd-0705105-115854
Author Yang-Chan Su
Author's Email Address No Public.
Statistics This thesis had been viewed 5066 times. Download 1501 times.
Department Applied Mathematics
Year 2004
Semester 2
Degree Master
Type of Document
Language English
Title A-optimal designs for weighted polynomial regression
Date of Defense 2005-05-26
Page Count 20
Keyword
  • A-Equivalence Theorem
  • recursive algorithm
  • Taylor expansion
  • A-optimal design
  • Remez's exchange procedure
  • implicit function theorem
  • weighted polynomial regression
  • Abstract This paper is concerned with the problem of constructing
    A-optimal design for polynomial regression with analytic weight
    function on the interval [m-a,m+a]. It is
    shown that the structure of the optimal design depends on a and
    weight function only, as a close to 0. Moreover, if the weight
    function is an analytic function a, then a scaled version of
    optimal support points and weights is analytic functions of a at
    $a=0$. We make use of a Taylor expansion which coefficients can be
    determined recursively, for calculating the A-optimal designs.
    Advisory Committee
  • Mong-Na Lo Huang - chair
  • Mei-Hui Guo - co-chair
  • Fu-Chuen Chang - advisor
  • Files
  • etd-0705105-115854.pdf
  • indicate access worldwide
    Date of Submission 2005-07-05

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