摘要
对于q-1维正规单纯形S_(q-1)上的q分量二阶混料模型,本文解决了参数估计的A-最优设计问题:q≥4时,二阶广义单纯形-重心设计的A-最优配置是A-最优设计;通过优化计算,直接给出了q=3时的A-最优设计。
For the mixture models of two-degree on (q-1)-dimension standard simplex Sq-1. this paper gives an A-optimal design of parameter estimation. It is proved that when q≥4. the A-optimal observation allocation of the generalized simplex-centroid design of two-degree is of A-optimal design. By way of optimazation. an A-optimal design for q= 3 is given directly.
基金
国家自然科学基金
关键词
混料模型
参数估计
最优设计
mixture design, A-optimality, simplex-centroid design.
