D-optimal designs for a multidimensional second-degree polynomial model with no intercept

被引：2
作者：
Shpilev, P. V. [1 ]
机构：
[1] St Petersburg State Univ, Fac Math & Mech, 28 Univ Ave, St Petersburg 198504, Russia
来源：
STATISTICS & PROBABILITY LETTERS | 2024年 / 215卷
基金：
俄罗斯科学基金会;
关键词：
Multivariate regression; Multidimensional polynomial model; D-optimal designs; REGRESSION MODELS;
D O I：
10.1016/j.spl.2024.110228
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 paper investigates the problem of constructing D-optimal designs for the multidimensional second-degree polynomial model without an intercept term. On a hyperparallelepiped of the given dimensionality and symmetric with respect to the origin, D-optimal designs are found in explicit analytical form.
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页数：5
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