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SOME PROPERTIES OF DOUBLE DESIGNS IN TERMS OF LEE DISCREPANCY 预览

SOME PROPERTIES OF DOUBLE DESIGNS IN TERMS OF LEE DISCREPANCY
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摘要 加倍是与高分辨率构造二水平的部分因素的图案的一个简单却强大的方法。这篇文章以两倍图案的李差异学习一致性。我们在不同标准下面给在两倍设计的一致性和原来的错误盒子之间的一些连接。而且,在两倍设计和原来的的概括 wordlength 模式之间的一些分析连接第一这里被提供,它扩大存在调查结果。为两倍图案的李差异的更低的界限也被给。 Doubling is a simple but powerful method of constructing two-level tractional factorial designs with high resolution. This article studies uniformity in terms of Lee discrepancy of double designs. We give some linkages between the uniformity of double design and the aberration case of the original one under different criteria. Furthermore, some analytic linkages between the generalized wordlength pattern of double design and that of the original one are firstly provided here, which extend the existing findings. The lower bound of Lee discrepancy for double designs is also given.
作者 部娜 覃红 Na ZOU,Hong QIN(1The School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China;2Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China)
出处 《数学物理学报:B辑英文版》 SCIE CSCD 2017年第2期477-487,共11页 Acta Mathematica Scientia
基金 September 6, 2016. N. Zou's research is supported by NSFC (11271147, 11301546, and 11401596) H. Qin is supported by NSFC (11271147 and 11471136) and the Fi- nancially supported by self-determined research funds of CCNU from the colleges basic research and operation of MOE (CCNU16A02012).
关键词 设计法 性质 高分辨率 均匀性 字长型 像差 下界 Double Lee discrepancy uniformity
作者简介 E-mail:zounamail@126.com Corresponding author E-mail: qinhong@mail. ccnu. edu. cn
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