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A lower bound for the wrap-around L 2-discrepancy on combined designs of mixed two-and three-level factorials

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成果类型:
期刊论文
作者:
Ou, Zujun;Qin, Hong*;Cai, Xu
通讯作者:
Qin, Hong
作者机构:
[Ou, Zujun] Jishou Univ, Coll Math & Stat, Jishou, Peoples R China.
[Qin, Hong] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
[Ou, Zujun; Cai, Xu] Cent China Normal Univ, Coll Phys Sci & Technol, Wuhan 430079, 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:
Mixed level factorials;Wrap-around L-2-discrepancy;Combined design;Foldover plan;Lower bound;62K15;62K99
期刊:
Communications in Statistics - Theory and Methods
ISSN:
0361-0926
年:
2014
卷:
43
期:
10-12
页码:
2274-2285
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11271147, 11201177]; SRFDPSpecialized Research Fund for the Doctoral Program of Higher Education (SRFDP) [20090144110002]; China Postdoctoral Science FoundationChina Postdoctoral Science Foundation [2013M531716]; Jishou University [jsdxxcfxbskyxm201113]
机构署名:
本校为通讯机构
院系归属:
物理科学与技术学院
数学与统计学学院
摘要:
The objective of this article is to study the issue of employing the uniformity criterion measured by wrap-around L2-discrepancy to assess the optimal foldover plans. For mixed two- and three-level fractional factorials as the original designs, general foldover plan and combined design under a foldover plan are defined, and the equivalence between any foldover plan and its complementary foldover plan is investigated. A lower bound of wrap-around L2-discrepancy of combined designs under a general foldover plan is obtained, which can be used as a benchmark for searching optimal foldover plans. M...

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