D-optimal designs for combined polynomial and trigonometric regression on a partial circle

被引：0

作者：

Chang, Fu-Chuen ^{[1
]}

Li, Chin-Han ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2013年 / 143卷 / 07期

关键词：

D-optimal design; Implicit function theorem; Polynomial regression; Recursive algorithm; Taylor expansion; Trigonometric regression; FOURIER REGRESSION; MODELS;

D O I：

10.1016/j.jspi.2013.01.013

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：

Consider the D-optimal designs for a combined polynomial and trigonometric regression on a partial circle. It is shown that the optimal design is equally supported and the structure of the optimal design depends only on the length of the design interval and the support points are analytic functions of this parameter. Moreover, the Taylor expansion of the optimal support points can be determined efficiently by a recursive procedure. Examples are presented to illustrate the procedures for computing the optimal designs. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：1186 / 1194

页数：9

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