| 关于2-水平U-型设计在三种偏差下的下界的一个注记 |
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| 引用本文： | 雷轶菊. 关于2-水平U-型设计在三种偏差下的下界的一个注记[J]. 北京教育学院学报(自然科学版), 2015, 0(1): 1-4. DOI: 10.16398/j.cnki.jbjie(n)issn1673_6923.2015.01.001 |
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| 作者姓名： | 雷轶菊 |
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| 作者单位： | 新乡学院数学与信息科学系,河南 新乡,453003 |
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| 摘 要： | 拉格朗日乘数法和许尔凸函数法都是从设计的行平衡角度来考虑下界的计算.如果利用许尔凸函数来计算2-水平U-型设计在对称化L2-偏差下的下界,能够证明用拉格朗日乘数法和许尔凸函数法这两种方法计算的三种偏差的下界是相等的.
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| 关 键 词： | 拉格朗日乘数法 许尔凸函数法 偏差 下界 |
A Note on Lower Bounds of Two-level U-type Designs for Three Kinds of Discrepancies |
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| Lei Yiju. A Note on Lower Bounds of Two-level U-type Designs for Three Kinds of Discrepancies[J]. Journal of Beijing Institute of Education(Natural Science Edition), 2015, 0(1): 1-4. DOI: 10.16398/j.cnki.jbjie(n)issn1673_6923.2015.01.001 |
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| Authors: | Lei Yiju |
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| Affiliation: | Lei Yiju;Xinxiang University; |
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| Abstract: | The Lagrange multiplier method and Schur_convex function method are both used to calcu—late the lower bounds of a design in view of line balance . This paper attempts to use the Schur_convex function to calculate the lower bound of two_level U_type designs for the symmetric L2_discrepancy, and prove lower bounds calculated by using Lagrange multiplier method and Schur_convex function method for three kinds of discrepancies are equal. |
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| Keywords: | The Lagrange Multiplier Method Schur_convex Function Method discrepancy lower bound |
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