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NEW LOWER BOUNDS FOR LEE DISCREPANCY ON TWO AND THREE MIXED LEVELS FACTORIALS

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成果类型:
期刊论文
作者:
Song, Shuo;Zhang, Qionghui;Zou, Na;Qin, Hong*
通讯作者:
Qin, Hong
作者机构:
[Song, Shuo] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430065, Peoples R China.
[Qin, Hong; Zhang, Qionghui] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
[Zou, Na] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China.
通讯机构:
[Qin, Hong] C
Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
U-type design;Lee discrepancy;uniform design;lower bound
关键词(中文):
混合水平;下界;实验;不对称设计;析因设计;均匀性
期刊:
数学物理学报
ISSN:
1003-3998
年:
2016
卷:
36
期:
6
页码:
1832-1840
基金类别:
∗Received January 24, 2015; revised May 3, 2016. The third author was supported by the National Natural Science Foundation of China (11301546). The fourth author is supported by the National Natural Science Foundation of China (11271147, 11471136). †Corresponding author: Hong QIN.
机构署名:
本校为通讯机构
院系归属:
数学与统计学学院
摘要:
The objective of this paper is to study the issue of uniformity on asymmetrical designs with two and three mixed levels in terms of Lee discrepancy. Based on the known formulation, we present a new lower bound of Lee discrepancy of fractional factorial designs with two and three mixed levels. Our new lower bound is sharper and more valid than other existing lower bounds in literature, which is a useful comp...
摘要(中文):
这份报纸的目的是以李差异与二和三个混合层次在不均匀的图案上学习一致性的问题。基于已知的明确的表达,我们在场有二和三的部分因素的图案的李差异的新更低的界限混合了层次。我们的新更低的界限比另外的存在在文学降低界限的是更突然地并且更有效的,它是到差异的更低的界限理论的有用补充。

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