Double设计在对称化L_2-偏差下两个下界的比较  

Comparison of Two Lower Bounds for the Symmetric L_2-discrepancy of Double Designs

作　　者：雷轶菊[1] 

机构地区：[1]新乡学院数学与信息科学系,河南新乡453003

出　　处：《新乡学院学报》2015年第3期1-3,共3页Journal of Xinxiang University

摘　　要：从列平衡的角度出发,将设计的中心化L2-偏差、对称化L2-偏差、可卷L2-偏差分别用二次型和均衡模式表示,可分别得到两个下界,它们都适合用来评价正交设计的均匀性。以double设计的对称化L2-偏差为例,证明了这两种方法算出的下界是相等的。In view of the column balance, the centralized L2-discrepancy, symmetrized L2-discrepancy and rollable L2-discrepancy of a design could be respectively represented with quadric form and balance pattern; then two lower bounds could be respectively obtained. They were suitable for evaluating uniformity of the orthogonal designs. This paper proved in the case of the symmetric L2-discrepancy of double designs the lower bounds by two kinds of calculation methods are equal.

关 键 词：Double设计 对称化L2-偏差 下界 

分 类 号：O212.6[理学—概率论与数理统计]