Some robust designs for polynomial regression models

被引：1

作者：

Fang, Zhide ^{[1
]}

机构：

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

来源：

CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE | 2006年 / 34卷 / 04期

关键词：

canonical moments; continued fractions; D-efficiency; Jacobi polynomial;

D O I：

10.1002/cjs.5550340405

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：

The author identifies static optimal designs for polynomial regression models with or without intercept. His optimality criterion is an average between the D-optimality criterion for the estimation of low-degree terms and the D,optimality criterion for testing the significance of higher degree terms. His work relies on classical results concerning canonical moments and the theory of continued fractions.

引用

页码：623 / 638

页数：16

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