中南民族大学学报（自然科学版）2024，Vol.43Issue(1)：133-137,5.DOI:10.20056/j.cnki.ZNMDZK.20240118
二三混水平U型设计的平均中心化L2-偏差
Average centered L2-discrepancy for mixed two and three levels U-type designs
摘要
Abstract
By using level permutation technique,the calculation formula of average centered L2-discrepancy for mixed two and three levels U-type designs is given,and a detailed proof is also provided.Based on this formula,connections between average centered L2-discrepancy and GMA criterion、orthogonality criterion,and a lower bound for average centered L2-discrepancy are derived.Finally,a numerical example is presented to verify that the lower bound is tight.关键词
均匀性/平均中心化L2-偏差/水平置换/广义最小低阶混杂/正交性Key words
uniformity/average centered L2-discrepancy/level permutation/generalized minimum aberration/orthogonality分类
数理科学引用本文复制引用
韦锦慧,汪政红..二三混水平U型设计的平均中心化L2-偏差[J].中南民族大学学报（自然科学版）,2024,43(1):133-137,5.基金项目
国家统计局优选资助项目(2022LY051) （2022LY051）
中央高校基本科研业务费专项资金资助项目(CZQ22003) （CZQ22003）
