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题名A new non-iterative deterministic algorithm for constructing asymptotically orthogonal maximin distance Latin hypercube designs
作者
发表日期2023-09-01
发表期刊Journal of the Korean Statistical Society
ISSN/eISSN1226-3192
卷号52期号:3页码:621-646
摘要

Latin hypercube designs (LHDs), maximin distance designs (MDDs) and orthogonal designs (ODs) are becoming popular and preferred choices in many areas of scientific investigation. A LHD has good projective properties on any single dimension for its uniform coverage of each individual factor, but it does not guarantee good space-filling properties in higher dimensions. A MDD maximizes the distances between its points and thus achieves the space-filling property in the full-dimensional space, but it does not guarantee the orthogonality of its factors. ODs are useful because they ensure the estimates of linear effects are uncorrelated. Since each of these three designs has pros and cons from different perspectives, a design that combines their benefits will be far superior to each design on its own. This paper gives a new non-iterative deterministic algorithm for constructing asymptotically orthogonal maximin distance LHDs. Compared with the existing results, the newly constructed LHDs have a much better performance in any dimension. Theoretical and numerical justifications for the optimality behavior of the newly constructed LHDs are given. Moreover, an iterative algorithm utilizing a mixture of criteria is provided for further improvement of the performance of the newly constructed LHDs from multiple perspectives.

关键词Latin hypercube designs Maximin distance designs Orthogonal designs
DOI10.1007/s42952-023-00215-6
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:001021368500001
Scopus入藏号2-s2.0-85163764517
引用统计
被引频次:4[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/10815
专题理工科技学院
通讯作者Elsawah, A. M.
作者单位
1.Department of Statistics and Data Science,Faculty of Science and Technology,Beijing Normal University-Hong Kong Baptist University United International College,Zhuhai,519087,China
2.Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science,BNU-HKBU United International College,Zhuhai,519087,China
3.Department of Mathematics,Faculty of Science,Zagazig University,Zagazig,44519,Egypt
第一作者单位理工科技学院;  北师香港浸会大学
通讯作者单位理工科技学院;  北师香港浸会大学
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GB/T 7714
Elsawah, A. M.,Gong, Yingyao. A new non-iterative deterministic algorithm for constructing asymptotically orthogonal maximin distance Latin hypercube designs[J]. Journal of the Korean Statistical Society, 2023, 52(3): 621-646.
APA Elsawah, A. M., & Gong, Yingyao. (2023). A new non-iterative deterministic algorithm for constructing asymptotically orthogonal maximin distance Latin hypercube designs. Journal of the Korean Statistical Society, 52(3), 621-646.
MLA Elsawah, A. M.,et al."A new non-iterative deterministic algorithm for constructing asymptotically orthogonal maximin distance Latin hypercube designs". Journal of the Korean Statistical Society 52.3(2023): 621-646.
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