一类非线性混料指数模型及其最优设计  

Nonlinear mixture exponential model and its optimal design

作　　者：陈嘉丽 张崇岐 CHEN Jia-li;ZHANG Chong-qi(School of Economics and Statistics,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学经济与统计学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2021年第2期31-34,共4页Journal of Guangzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目(12071096)。

摘　　要：非线性混料模型是混料模型中研究甚少但却有广泛实际应用意义的一类模型.与以往根据经验法则取得设计点不同的是,文章基于一类非线性混料指数模型,通过优化函数fmincon搜索出二分量混料指数模型的D-最优设计,并用等价性定理证明该设计的D-最优性.Nonlinear mixture model is a kind of mixture model which is rarely studied but has wide practical significance.Different from the previous design points obtained according to the rule of thumb,based on a kind of nonlinear mixture exponential model,this paper searches for the D-optimal design of a two-component mixture exponential model through the optimization function fmincon,and verifies the D-optimality of the design with equivalence theorem.

关 键 词：非线性 混料指数模型 D-最优设计 

分 类 号：O212.6[理学—概率论与数理统计]