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Double设计的几个结果
引用本文:欧祖军.Double设计的几个结果[J].长春大学学报,2010(12):60-62.
作者姓名:欧祖军
作者单位:吉首大学数计学院,湖南吉首416000
基金项目:湖南省教育厅科研项目[10C1091]
摘    要:讨论了Double设计在对称化L2-偏差下的均匀性,给出了Double设计为均匀设计的充要条件,同时得到了Double设计的对称化L2-偏差的下界,来评价Double设计的均匀性,最后通过一个例子来验证理论结果。

关 键 词:对称化L2-偏差  Double设计  下界  均匀性

Some results of Double design
OU Zu-jun.Some results of Double design[J].Journal of Changchun University,2010(12):60-62.
Authors:OU Zu-jun
Institution:OU Zu-jun(College of Mathematics and Computer Science,Jishou University,Jishou 416000,China)
Abstract:The uniformity of Double design is discussed in the condition of symmetric L2-discrepancy. The necessary and sufficient condition in given that Double design is a uniform design. In addition,a lower bound of symmetric L2-discrepancy of Double design is obtained,which can be used to assess the uniformity of Double design. Finally,an example is presented to prove the theoretical results.
Keywords:symmetric L2-discrepancy  Double design  lower bound  uniformity
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