两变量随机系数回归模型的最优设计

Optimal Designs for Bivariate Random Coefficient Regression Models

摘要: 本文考虑两变量随机系数回归模型在单位正方形设计区域上基于A-, Ds-, I-和D-准则下的最优设计. 证明了最优设计可在设计域的顶点处获得, 并得到了几类最优设计的解析或数值结果.

Abstract: This paper considers optimal designs based on A-, Ds-, I- and D-optimality criteria for bivariate random coefficient regression models. It is shown that the search of optimal designs could be confined at extreme settings of the design region and optimal approximate designs are obtained in the paper.