二三混水平因子设计离散偏差新的下界  

New lower bounds to discrete discrepancy in mixed two-and three-level fractional factorial designs

作　　者：李洪毅[1,2] 欧祖军[2] 黎奇升[2] 

机构地区：[1]吉首大学师范学院,湖南吉首416000 [2]吉首大学数学与统计学院,湖南吉首416000

出　　处：《福州大学学报（自然科学版）》2016年第3期375-378,共4页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11201177;11561025);湖南省教育厅优秀青年基金资助项目(14B146)

摘　　要：离散偏差经常用来衡量部分因子设计的均匀性,偏差的准确下界可以检验给定设计的均匀程度.基于现有的离散偏差的公式,讨论了二、三混水平设计离散偏差的下界问题,并利用泰勒展开的方法给出一个新的下界.与已有的下界相比,所给出的下界在某些设计中更精确.The discrete discrepancy is often evaluated the uniformity of factorial designs. The accurate lower bounds of discrepancies can test uniform degree of designs. On the basis of existing formula of the discrete discrepancy,this article discusses lower bounds to discrete discrepancy in mixed two-and three- level fractional factorial designs and gives a new lower bound to the discrete discrepancy according to Taylor expansion. The new lower bound is better than existing lower bounds in certain factorials designs. Finally,two examples are given to illustrate the results.

关 键 词：均匀设计 U型设计 混水平因子设计 离散偏差 下界 泰勒展式 

分 类 号：O212.6[理学—概率论与数理统计]