| 异方差模型中混料设计的效率 |
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| 引用本文： | 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 |
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| 作者姓名： | 郭强 关颖男 夏尊铨 |
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| 作者单位： | 东北大学理学院;东北大学理学院;大连理工大学应用数学系辽宁沈阳110004;大连理工大学应用数学系;辽宁大连116024;辽宁沈阳110004;辽宁大连116024 |
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| 基金项目： | 辽宁省自然科学基金资助项目 (972 10 0 ) |
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| 摘 要： | 对于异方差模型,即方差不是常数的模型,Kiefer和Wolfowitz的一般等价定理(KWT)中的D最优设计和G最优设计之间的等价性不成立·广义化一般等价定理(KWT),使得广义化模型的D最优设计同G最优设计之间的区别和联系更清楚·对于精确设计和连续设计分别研究了广义化D最优设计和G最优设计的一些性质·给出了混料模型中D最优设计,G最优设计,A最优设计效率的取值范围·引入了广义化模型的检验公式·
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| 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 |
| 文章编号： | 1005-3026(2002)09-0907-04 |
| 修稿时间： | 2002-01-18 |
The Efficiency of Mixture Design in Heteroscedastic Model |
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| GUO Qiang ,,GUAN Ying nan ,XIA Zun quan. The Efficiency of Mixture Design in Heteroscedastic Model[J]. Journal of Northeastern University(Natural Science), 2002, 23(9): 907-910 |
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| Authors: | GUO Qiang GUAN Ying nan XIA Zun quan |
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| Abstract: | To heteroscedastic model,i.e.,the variance of the model isn't a constant, the equivalence between D optimal design and G optimal design doesn't hold in the General Equivalence Theory of Kiefer and Wolfowitz(KWT). The generalized General Equivalence Theory(KWT) makes the comparison and communication between D , G optimal designs clear. Some properties of generalized D and G optimal designs were studied for exact designs and continuous designs. The value scales of the efficiency of D , G , and A optimal designs in mixture model were listed. The test formulas of the generalized model was given. |
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| Keywords: | heteroscedastic information matrix D optimal G optimal A optimal mixture design efficiency |
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