标题： 移除不支持E-最优实验设计的点 显示英文标题

标题： Removal of the points that do not support an E-optimal experimental design

摘要： 我们提出了一种去除无法支持任何线性回归模型的E-最优实验设计的设计点的方法，该模型具有非相关的观察值。所提出的方法可以用来减小一些大型E-最优设计问题的规模，从而使它们可以通过半定规划有效地解决。本文补充了普罗兹诺的研究结果[Pronzato, L., 2013. Kiefer's $\phi_p$-类准则的最优设计支持的限定. 统计与概率通讯 83, 2721--2728]，他研究了设计优化的分析上更简单的准则的同一问题。 显示英文摘要

摘要： We propose a method of removal of design points that cannot support any E-optimal experimental design of a linear regression model with uncorrelated observations. The proposed method can be used to reduce the size of some large E-optimal design problems such that they can be efficiently solved by semidefinite programming. This paper complements the results of Pronzato [Pronzato, L., 2013. A delimitation of the support of optimal designs for Kiefer's $\phi_p$-class of criteria. Statistics & Probability Letters 83, 2721--2728], who studied the same problem for analytically simpler criteria of design optimality.