Title page for etd-0621104-215453


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URN etd-0621104-215453
Author Bo-jung Jiang
Author's Email Address No Public.
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Department Applied Mathematics
Year 2003
Semester 2
Degree Master
Type of Document
Language English
Title An algebraic construction of minimally-supported
D-optimal designs for weighted polynomial regression
Date of Defense 2004-05-28
Page Count 14
Keyword
  • matrix
  • weighted polynomial regression
  • minimally-supported
  • differential equation
  • rational function
  • approximate $D$-optimal design
  • Abstract We propose an algebraic construction of $(d+1)$-point $D$-optimal
    designs for $d$th degree polynomial regression with weight
    function $omega(x)ge 0$ on the interval $[a,b]$. Suppose that
    $omega'(x)/omega(x)$ is a rational function and the information
    of whether the optimal support contains the boundary points $a$
    and $b$ is available. Then the problem of constructing
    $(d+1)$-point $D$-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 solved from a system of polynomial equations in those
    constants. Moreover, the $(d+1)$-point $D$-optimal interior
    support points are the zeros of a certain polynomial which the
    coefficients can be computed from a linear system. In most cases
    the $(d+1)$-point $D$-optimal designs are also the approximate
    $D$-optimal designs.
    Advisory Committee
  • M-N Lo - chair
  • M-H Guo - co-chair
  • F-C Chang - advisor
  • Files
  • etd-0621104-215453.pdf
  • indicate access worldwide
    Date of Submission 2004-06-21

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