复合设计问题的等价定理及其在混合模型中的应用
Equivalence theorems for compound design problems with application in mixed models
摘要:
在本文中,我们考虑的设计准则,同时取决于几个设计。我们制定等价定理矩矩阵的基础上(如果标准取决于设计通过矩矩阵)或相对于设计本身(有限的设计区域)。将所得的最优性条件应用于多组随机系数回归模型,并通过简单的例子说明了结果。
英文摘要:
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.
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