发表状态 | 已发表Published |
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
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ISSN/eISSN | 1226-3192 |
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 |
DOI | 10.1007/s42952-023-00215-6 |
URL | 查看来源 |
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 | |
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 |
推荐引用方式 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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