\(D\)-optimal designs for polynomial regression models through origin
type: Item
instance of: scholarly article
title: \(D\)-optimal designs for polynomial regression models through origin
zbMATH Open document ID: 0996.62071
DOI: 10.1016/S0167-7152(02)00085-8
author: Zhide Fang
published in: Statistics \& Probability Letters
publication date: 2002-09-05T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62F35
Mathematics Subject Classification ID: 62J05
zbMATH DE Number: 1796751
zbMATH Keywords: Jacobi polynomials
zbMATH Keywords: canonical moments
zbMATH Keywords: Hankel determinant
zbMATH Keywords: regression through the origin
zbMATH Keywords: D-optimality
zbMATH Keywords: polynomial regression
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1796751