| URN |
etd-0630105-093704 |
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| Author |
Chin-Han Li |
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| Author's Email Address |
m922040030@student.nsysu.edu.tw |
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| Statistics |
This thesis had been viewed 5171 times. Download 1562 times. |
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| Department |
Applied Mathematics |
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| Year |
2004 |
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| Semester |
2 |
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| Degree |
Master |
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| Type of Document |
|
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| Language |
English |
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| Title |
D-optimal designs for combined polynomial and trigonometric regression on a partial circle |
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| Date of Defense |
2005-05-26 |
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| Page Count |
21 |
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| Keyword |
polynomial regression
recursive algorithm
trigonometric regression
Taylor expansion
implicit function theorem
D-optimal
|
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| 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. |
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| Advisory Committee |
Mong-Na Lo Huang - chair
Mei-Hui Guo - co-chair
Fu-Chuen Chang - advisor
|
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| Files |
indicate access worldwide |
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| Date of Submission |
2005-06-30 |
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