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A class of mixed-level uniform designs generated by code mapping

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成果类型:
期刊论文
作者:
Hu, Liuping;Ou, Zujun;Qin, Hong
通讯作者:
Qin, H
作者机构:
[Qin, Hong; Hu, Liuping] Cent China Normal Univ, Coll Math & Stat, Wuhan 430079, Peoples R China.
[Ou, Zujun] Jishou Univ, Coll Math & Stat, Jishou 416000, Peoples R China.
[Qin, Hong; Qin, H] Zhongnan Univ Econ & Law, Coll Stat & Math, Wuhan 430079, Peoples R China.
通讯机构:
[Qin, H ] Z
Zhongnan Univ Econ & Law, Coll Stat & Math, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Code mapping;Aberration criteria;Discrepancy;Lower bound
期刊:
JOURNAL OF STATISTICAL PLANNING AND INFERENCE
ISSN:
0378-3758
年:
2024
卷:
233
页码:
106166
基金类别:
National Natural Science Foundation of China [12371261, 12161040, 12361053, 11961027]; Natural Science Foundation of Hunan Provincial [2023JJ30486]; Scientific Research Plan Item of Hunan Provincial Department of Education [21C0370, 22A0355]
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
Literature reviews reveal that there is a very close connection between experimental design and coding theory. Based on a code mapping transformation, this paper provides a new method to construct a class of mixed designs with two- and four -level. A general construction method is described and some theoretical results of obtained designs are given. Analytic connections are established between the generated and the initial designs in terms of aberration criteria and discrepancies. Sharp lower bounds of the wrap -around L-2 - and Lee discrepancies are obtained and used as the benchmarks to meas...

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