关于2-水平U-型设计在三种偏差下的下界的一个注记  

A Note on Lower Bounds of Two-level U-type Designs for Three Kinds of Discrepancies

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：《北京教育学院学报（自然科学版）》2015年第1期1-4,共4页Journal of Beijing Institute of Education

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.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.

关 键 词：拉格朗日乘数法 许尔凸函数法 偏差 下界 

分 类 号：O174[理学—数学]