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对称化L2-偏差下组合设计的均匀性
引用本文:李洪毅.对称化L2-偏差下组合设计的均匀性[J].长春大学学报,2010(12):57-59.
作者姓名:李洪毅
作者单位:吉首大学师范学院,湖南吉首416000
基金项目:湖南省教育厅科研项目[10C1091]
摘    要:基于对称化L2-偏差讨论了组合设计的均匀性,在两种特殊的情形下分别得到了两水平部分因子设计的组合设计的离散偏差的下界,数值例子说明这些下界是紧的,因此这些下界可以作为寻找最优折叠反转方案的基准。

关 键 词:对称化L2-偏差  组合设计  最优折叠反转方案  均匀性

Uniformity of combined designs in condition of symmetric L2-discrepancy
LI Hong-yi.Uniformity of combined designs in condition of symmetric L2-discrepancy[J].Journal of Changchun University,2010(12):57-59.
Authors:LI Hong-yi
Institution:LI Hong-yi(Normal College,Jishou University,Jishou 416000,China)
Abstract:In this paper,the uniformity of combined designs in condition of symmetric L2-discrepancy is discussed. Under two special cases,two-level factorials and lower bounds of discrete discrepancy of the combined designs are obtained. A numerical example shows that the lower bounds are tight. Therefore,these bounds can be used as a benchmark for searching optimal foldover plans.
Keywords:symmetric L2-discrepancy  combined design  optimal foldover plan  uniformity
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