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

doi:10.1016/S0252-9602(16)30109-6

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1832-1840.doi: 10.1016/S0252-9602(16)30109-6

• 论文 • 上一篇

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

宋硕¹, 张琼慧², 邹娜³, 覃红²

1. College of Science, Wuhan University of Science and Technology, Wuhan 430065, China;
2. Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China;
3. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China

收稿日期:2015-01-24 修回日期:2016-05-03 出版日期:2016-12-25 发布日期:2016-12-25
通讯作者: Hong QIN,E-mail:qinhong@mail.ccnu.edu.cn E-mail:qinhong@mail.ccnu.edu.cn
作者简介:Shuo SONG,E-mail:songshuo@wust.edu.cn;Qionghui ZHANG,E-mail:zhangqionghui865@163.com;Na ZOU,E-mail:zounamail@126.com
基金资助:
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).

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

Shuo SONG¹, Qionghui ZHANG², Na ZOU³, Hong QIN²

1. College of Science, Wuhan University of Science and Technology, Wuhan 430065, China;
2. Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China;
3. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China

Received:2015-01-24 Revised:2016-05-03 Online:2016-12-25 Published:2016-12-25
Contact: Hong QIN,E-mail:qinhong@mail.ccnu.edu.cn E-mail:qinhong@mail.ccnu.edu.cn
Supported by:
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).

摘要/Abstract

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 complement to the lower bound theory of discrepancies.

关键词: U-type design, Lee discrepancy, uniform design, lower bound

Abstract:

Key words: U-type design, Lee discrepancy, uniform design, lower bound

中图分类号:

62K15

宋硕, 张琼慧, 邹娜, 覃红. NEW LOWER BOUNDS FOR LEE DISCREPANCY ON TWO AND THREE MIXED LEVELS FACTORIALS[J]. 数学物理学报(英文版), 2016, 36(6): 1832-1840.

Shuo SONG, Qionghui ZHANG, Na ZOU, Hong QIN. NEW LOWER BOUNDS FOR LEE DISCREPANCY ON TWO AND THREE MIXED LEVELS FACTORIALS[J]. Acta mathematica scientia,Series B, 2016, 36(6): 1832-1840.

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

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

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