| 有限离散设计区域上失拟检验的最优设计 |
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| 引用本文： | 邢力聪,岳荣先. 有限离散设计区域上失拟检验的最优设计[J]. 上海师范大学学报(自然科学版), 2009, 38(2) |
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| 作者姓名： | 邢力聪 岳荣先 |
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| 作者单位： | 上海师范大学,数理学院,上海,200234 |
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| 基金项目： | 国家自然科学基金，教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 考虑具有有限个试验点的离散设计区域上对线性模型失拟检验的最优设计,利用平均最小偏差在最大最小化意义下建立设计准则函数,并给出构造局部最优精确设计的算法,实例结果显示所得到最优设计在设计域上具有一定程度的均匀性.
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| 关 键 词： | 离散区域 失拟检验 最优设计 最大最小化 |
Lack-of-fit-efficiently optimal design on discrete region with finite points |
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| XING Li-cong,YUE Rong-xian. Lack-of-fit-efficiently optimal design on discrete region with finite points[J]. Journal of Shanghai Normal University(Natural Sciences), 2009, 38(2) |
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| Authors: | XING Li-cong YUE Rong-xian |
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| Affiliation: | Mathematics and Science College;Shanghai Normal University;Shanghai 200234;China |
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| Abstract: | In this paper we consider the optimal design of lack of fit test for a linear model defined on a discrete region of finite points.We propose a optimality criterion in terms of the average minimal bias.An algorithm for constructing the local exact optimal design is proposed.An example shows that the optimal design obtained by the algorithm is of a certain uniformity on the design region. |
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| Keywords: | discrete region optimal design lack of fit maxmin |
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