对称化L_2-偏差下组合设计的均匀性

Uniformity of combined designs in condition of symmetric L_2-discrepancy

基于对称化L2-偏差讨论了组合设计的均匀性,在两种特殊的情形下分别得到了两水平部分因子设计的组合设计的离散偏差的下界,数值例子说明这些下界是紧的,因此这些下界可以作为寻找最优折叠反转方案的基准。

In this paper,the uniformity of combined designs in condition of symmetric L2-discrepancy is discussed. Under two special cases,two-level factorials and lower bounds of discrete discrepancy of the combined designs are obtained. A numerical example shows that the lower bounds are tight. Therefore,these bounds can be used as a benchmark for searching optimal foldover plans.