期刊论文

Qin Hong

英文

中国科学：数学英文版

1674-7283

2015

58

7

1537-1548

10.1007/s11425-014-4936-6

This work was supported by National Natural Science Foundation of China （Grant Nos. 11201177 and 11271147）, China Postdoctoral Science Foundation （Grant No. 2013M531716）, Scientific Research Plan Item of Hunan Provincial Department of Education （Grant No. 12C0287）, Jishou University Doctor Science Foundation （Grant No. jsdxxcfxbskyxm201113）, and Scientific Research Plan Item of Jishou University （Grant No. 13JDY041）. The authors greatly appreciate the helpful suggestions from the referees, editor and associate editor-in-chief.

本校为通讯机构

The objective of this paper is to study the issue of employing the uniformity criterion measured by the wrap-around L_2-discrepancy to assess the optimal foldover plans for three-level designs. For three-level fractional factorials as the original designs, the general foldover plan and combined design under a foldover plan are defined, some theoretical properties of the defined foldover plans are obtained, a tight lower bound of the wrap-around L_2-discrepancy of combined designs under a general foldover plan is also obtained, which can be used...

这份报纸的目的是学习采用卷上的 L 2-discrepancy 测量为三水平的图案估计最佳的摺过计划的一致性标准的问题。为原版设计的三水平的部分阶乘，在一个摺过计划下面的一般摺过计划和联合设计被定义，定义摺过计划的一些理论性质被获得，在一个一般摺过计划下面的联合图案的卷上的 L 2-discrepancy 的紧密的更低的界限也被获得，它能作为一个基准被使用寻找最佳的摺过计划。为我们的理论结果的用法的说明，最佳的摺过的一个目录与 s 为一致起始的图案计划三水平的因素被公布，在的地方 2 s 11。