D-optimal designs for weighted polynomial regression

被引：2

作者：

Fang, ZD ^{[1
]}

机构：

[1] Univ New Orleans, Dept Math, New Orleans, LA 70148 USA

来源：

STATISTICS & PROBABILITY LETTERS | 2003年 / 63卷 / 02期

关键词：

approximate design; Descartes's rule of signs; equivalence theorem; weighted polynomial regression;

D O I：

10.1016/S0167-7152(03)00084-1

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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 specific weight function w(x) = 1/(a(2) - x(2))(delta), on the compact interval [ - 1, 1]. The main result shows that in most cases, the number of support points of the D-optimal design is k + 1, while in other cases, the D-optimal design has k + 2 support points. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：205 / 213

页数：9

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