Title page for etd-0620104-231204


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URN etd-0620104-231204
Author Sen-Fang Chang
Author's Email Address m9024623@student.nsysu.edu.tw
Statistics This thesis had been viewed 5068 times. Download 2280 times.
Department Applied Mathematics
Year 2003
Semester 2
Degree Master
Type of Document
Language English
Title D-optimal designs for weighted polynomial regression - a functional-algebraic approach
Date of Defense 2003-05-30
Page Count 14
Keyword
  • weighted polynomial regression.
  • recursive algorithm
  • Taylor series
  • rational function
  • approximate D-optimal design
  • matrix
  • implicit function theorem
  • Abstract This paper is concerned with the problem of computing theapproximate D-optimal design for polynomial regression with weight function w(x)>0 on the design interval I=[m_0-a,m_0+a]. It is shown that if w'(x)/w(x) is a rational function on I and a is close to zero, then the problem of constructing D-optimal designs can be transformed into a differential equation problem leading us to a certain matrix including a finite number of auxiliary unknown constants, which can be approximated by a Taylor expansion. We provide a recursive algorithm to compute Taylor expansion of these constants. Moreover, the D-optimal
    interior support points are the zeros of a polynomial which has coefficients that can be computed from a linear system.
    Advisory Committee
  • Mong-Na Lo Huang - chair
  • Mei-Hui Guo - co-chair
  • Fu-Chuen Chang - advisor
  • Files
  • etd-0620104-231204.pdf
  • indicate access worldwide
    Date of Submission 2004-06-20

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