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A limit theorem of D-optimal designs for weighted polynomial regression

✍ Scribed by Chang, Fu-Chuen; Tsai, Jhong-Shin

Book ID
122255149
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
708 KB
Volume
154
Category
Article
ISSN
0378-3758

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πŸ“œ SIMILAR VOLUMES

D-optimal designs for weighted polynomia
D-optimal designs for weighted polynomial regression
✍ Fu-Chuen Chang; Ge-Chen Lin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 672 KB

Using an Equivalence Theorem and the theory of Sturm Liouville systems, we determine the D-optimal designs for some classes of weighted polynomial regression of degree d on the interval [-1., 1]. We also show that the number of the optimal support points for such models is d+ 1. and that the optimal

D-optimal designs for weighted polynomia
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✍ Zhide Fang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 214 KB

By utilizing the equivalence theorem and Descartes's rule of signs, we construct D-optimal designs for a weighted polynomial regression model of degree k, with speciΓΏc weight function w(x) = 1=(a 2 -x 2 ) , on the compact interval [ -1; 1]. The main result shows that in most cases, the number of sup

Exact D-optimal designs for weighted pol
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✍ Ray-Bing Chen; Mong-Na Lo Huang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 137 KB

In this work, the exact D-optimal designs for weighted polynomial regression are investigated. In Ga ke (1987, J. Statist. Planning Inference 15, 189 -204) a su cient condition has been given that Salaeveski Γ„ i's type of result about the exact D-optimal designs holds when sample size n is large eno