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A lower bound of average mixture discrepancy for row augmented designs

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成果类型:
期刊论文
作者:
Liu, Jiaqi;Wang, Kang;Li, Xiaoqing;Ou, Zujun
通讯作者:
Ou, ZJ
作者机构:
[Liu, Jiaqi] Changsha Univ Sci & Technol, Coll Math & Stat, Changsha, Peoples R China.
[Wang, Kang] Zhongnan Univ Econ & Law, Coll Stat & Math, Wuhan, Peoples R China.
[Li, Xiaoqing] Hunan Univ Technol & Business, Coll Econ & Trade, Changsha, Peoples R China.
[Ou, Zujun] Jishou Univ, Coll Math & Stat, Jishou 416000, Peoples R China.
通讯机构:
[Ou, ZJ ] J
Jishou Univ, Coll Math & Stat, Jishou 416000, Peoples R China.
语种:
英文
关键词:
Asymmetrical follow-up design;average mixture discrepancy;level permutation;lower bound;row augmented design
期刊:
Statistics
ISSN:
0233-1888
年:
2024
卷:
58
期:
1
页码:
9-25
基金类别:
National Natural Science Foundation of China [11961027, 12161040, 12361053]; Provincial Natural Science Foundation of Hunan [2021JJ30550, 2023JJ20486]; Scientific Research Plan Item of Hunan Provincial Department of Education [22A0355, 22B0613]; Plan Item of Hunan Provincial Social Science Achievement Review Committee [XSP2023JJC049]
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
Follow-up experimental designs are frequently employed in a wide range of scientific studies and industries. Lower bounds of average mixture discrepancy for row augmented designs are determined in this paper utilizing the level permutation technique, which is also used to analyse the uniformity of row augmented designs with asymmetrical factorials. Between the row augmented designs and its initial designs or follow-up designs, quantitative relationships of lower bounds of average mixture discrepancy are constructed. Additionally, a proposal is made for the construction algorithm of asymmetrica...

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