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.
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页数：6
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