混水平饱和正交设计在广义离散偏差下的均匀性  

Uniformity in mixed levels saturated orthogonal designs in term of generalized discrete discrepancy

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368-374,共7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：针对二、三混水平饱和正交设计d,在适当的划分下d=(D:),给出设计d的广义离散偏差与子设计D()的广义字长型及均匀性模式的解析关系.同时,给出这类因子设计的广义离散偏差的下界.最后,通过例子来验证其结论.We consider a kind of mixed two and three levels saturated orthogonal designs d. Under a proper decomposition of d =（ D ： ^-D）,we give connections between the generalized discrete discrepancy of d and generalized word length pattern or uniformity pattern of D or ^-D. Meanwhile,we also present the lower bound of generalized discrete discrepancy of this kind of fractional factorials. Finally,an illustrative example is given to shown our theoretical results.

关 键 词：混水平饱和正交设计 广义离散偏差 广义字长型 均匀性模式 

分 类 号：O212.6[理学—概率论与数理统计]