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异方差模型下最优设计的等价性及效率比较 被引量：1

Equivalent of optimal designs and efficiency compare in heteroscedastic models
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摘要 考虑了异方差模型下的最优设计.给出了D-,G-及A-最优设计等价的充要条件,用D-最优设计的G-效率,G-最优设计的D-效率对D-最优设计和G-最优设计的优良性进行比较分析.并给出了数值结果. This paper is about the optimal designs in heteroscedastic models. The sufficient and necessary condition that D-, G- and A-optimal designs are equivalent is given. The comparing analysis for the natural of G-efficiency of D-optimal designs and D-efficiency of G-optimal designs is carried out, and the numerical results are given out. 
作者 刘建国 张颖 郭强
机构地区 大连理工大学应用数学系 沈阳工业大学理学院
出处 《沈阳工业大学学报》 EI CAS 2003年第5期441-444,共4页 Journal of Shenyang University of Technology
基金 国家自然科学基金项目(10001007) 辽宁省教育厅 科技厅基金项目(20142205 2001102027)
关键词 异方差 信息矩阵 D-最优 G-最优 A-最优 混料设计 效率 heteroscedastic information matrix D-optimal G-optimal A-optimal mixture design efficiency
分类号 O216 [理学—概率论与数理统计]
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参考文献6

  • 1郭强,关颖男,夏尊铨.异方差模型中混料设计的效率[J].东北大学学报（自然科学版）,2002,23(9):907-910. 被引量：1
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二级参考文献9

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同被引文献34

  • 1唐小我,傅庚,曹长修.非负约束条件下组合证券投资决策方法研究[J].系统工程,1994,12(6):23-29. 被引量：38
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沈阳工业大学学报
2003年 第5期

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