论文标题
在混合模型中使用应用的复合设计问题的等效定理
Equivalence theorems for compound design problems with application in mixed models
论文作者
论文摘要
在本文中，我们考虑了同时依赖几种设计的设计标准。我们根据力矩矩阵（如果标准取决于矩矩阵的设计）或设计本身（对于有限的设计区域）来制定等效定理。我们将获得的最佳条件应用于多组随机系数回归模型，并通过简单示例说明结果。
In the present paper we consider design criteria which depend on several designs simultaneously. We formulate equivalence theorems based on moment matrices (if criteria depend on designs via moment matrices) or with respect to the designs themselves (for finite design regions). We apply the obtained optimality conditions to the multiple-group random coefficient regression models and illustrate the results by simple examples.
