| 多重混料系统及其最优设计 |
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| 引用本文： | 孙学波.多重混料系统及其最优设计[J].应用概率统计,2008,24(4):388-398. |
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| 作者姓名： | 孙学波 |
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| 作者单位： | 辽宁科技大学,鞍山,114044 |
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| 摘 要： | 本文主要讨论了多重混料系统上Scheff\'{e}模型的最优设计问题. 在本文中, 提出并证明了一个基于单纯形和正定二次型的不等式, 并应用这个不等式解决了多重混料系统上多项式模型的$D$-最优和$A$-最优设计的结构问题, 找到了一个构造最优设计的新方法.
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| 关 键 词： | Scheff\'{e}模型 $D$-最优设计 $A$-最优设计 单纯形 多重混料系统. |
Multi-Mixture System and Its Optimal Experimental Design |
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| Sun Xuebo.Multi-Mixture System and Its Optimal Experimental Design[J].Chinese Journal of Applied Probability and Statisties,2008,24(4):388-398. |
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| Authors: | Sun Xuebo |
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| Affiliation: | Liaoning University of Technology |
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| Abstract: | In this paper, we discuss some issues of $D$-optimal and $A$-optimal design for Scheff\'{e} model on multiple mixture system. An important inequality based on positive definite quadratic form is also given. Employing the inequality, the structures of optimal designs for Scheff\'{e} model defined on multiple mixture system are made explicit. |
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| Keywords: | Scheff\'{e} model $D$-optimal design $A$-optimal design simplex form multiple mixture system |
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