\(D\)-optimal designs for polynomial regression models through origin (Q1613087)
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scientific article; zbMATH DE number 1796751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(D\)-optimal designs for polynomial regression models through origin |
scientific article; zbMATH DE number 1796751 |
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\(D\)-optimal designs for polynomial regression models through origin (English)
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5 September 2002
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We consider \(D\)-optimal designs for polynomial regression models with low-degree terms being missed, by applying the theory of canonical moments. It turns out that the optimal design places equal weight on each of the zeros of some Jacobi polynomial when the number of unknown parameters in the model is even. The procedure and examples of finding the optimal supports and weights are given when the number of unknown parameters in the model is odd.
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Jacobi polynomials
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canonical moments
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Hankel determinant
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regression through the origin
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D-optimality
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polynomial regression
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