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
A Note on E-Optimal Designs for Weighted Polynomial Regression
β Scribed by Holger Dette
- Book ID
- 121256596
- Publisher
- Institute of Mathematical Statistics
- Year
- 1993
- Tongue
- English
- Weight
- 476 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0090-5364
- DOI
- 10.2307/2242260
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π SIMILAR VOLUMES
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
We give the E-optimal approximate designs for mean (sub-) parameters in dth degree totally positive polynomial spline regression with prescribed knots over an arbitrary compact real interval. Based on a duality between E-and scalar optimality, the optimal design is found to be supported by the extre
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