Optimal designs for estimating individual coefficients in polynomial regression with no intercept

被引：2

作者：

Dette, Holger ^{[1
]}

Melas, Viatcheslav B. ^{[2
]}

Shpilev, Petr ^{[2
]}

机构：

[1] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany

[2] St Petersburg State Univ, Math & Mech Fac, St Petersburg, Russia

来源：

STATISTICS & PROBABILITY LETTERS | 2020年 / 158卷

基金：

俄罗斯基础研究基金会;

关键词：

Polynomial regression; c-optimal design; Chebyshev system; MODELS;

D O I：

10.1016/j.spl.2019.108636

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：

We identify optimal designs for estimating individual coefficients in a polynomial regression with no intercept. Here the regression functions do not form a Chebyshev system such that the seminal results of Studden (1968) characterizing c-optimal designs are not applicable. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：6

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