一类相关性混料模型的D-最优设计

D-optimal design for a kind of mixture model with correlation

研究具有相关性的一阶混料试验模型的D-最优设计问题,推导具有相关性的一阶混料模型的D-、G-最优准则的判定定理,且给出其存在的上确界函数.同时可得具有相关性的一阶混料试验模型中D-最优准则与G-最优准则的等价性不成立.

By studying the D-optimum design for the first-order mixture experiment model with correlation,we obtain the decision theorem of the D-and G-optimum criterion,and the supremum function.On this basis,we show that there is no equivalence between D-optimum design and G-optimum design in mixture experiment model with correlation.