| Title | Lower bounds of the wrap-around L2-discrepancy and relationships between MLHD and uniform design with a large size |
| Creator | |
| Date Issued | 2008-08-01 |
| Source Publication | Journal of Statistical Planning and Inference
 |
| ISSN | 0378-3758 |
| Volume | 138Issue:8Pages:2330-2339 |
| Abstract | The wrap-around (WD) L-discrepancy has been commonly used in experimental designs. In this paper, some lower bounds of the WD L-discrepancy for asymmetrical U-type designs are given and the expectation and variance of midpoint Latin hypercube designs (LHD) are also obtained. Relationships between midpoint LHD and uniform designs for symmetrical and asymmetrical cases are discussed in the sense of comparing the lower bound and the expectation of squared wrap-around L-discrepancy of U-type designs. Some comparisons between simple random sampling and the lower bounds of U-type designs are given. © 2007 Elsevier B.V. All rights reserved. |
| Keyword | Midpoint Latin hypercube design Simple random sampling U-type design Wrap-around L2-discrepancy |
| DOI | 10.1016/j.jspi.2007.10.001 |
| URL | View source |
| Language | 英语English |
| Scopus ID | 2-s2.0-42149149275 |
| Citation statistics | |
| Document Type | Journal article |
| Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/6659 |
| Collection | Beijing Normal-Hong Kong Baptist University |
| Affiliation | 1.Department of Mathematics,Sichuan University,Chengdu, 610064,China 2.Department of Science and Technology,BNU-HKBU United International College,Zhuhai, 519085,China 3.Department of Mathematics and Statistics,Central China Normal University,Wuhan, 430079,China |
| First Author Affilication | Beijing Normal-Hong Kong Baptist University |
| Recommended Citation GB/T 7714 | Zhou，Yong Dao,Ning，Jian Hui. Lower bounds of the wrap-around L2-discrepancy and relationships between MLHD and uniform design with a large size[J]. Journal of Statistical Planning and Inference, 2008, 138(8): 2330-2339. |
| APA | Zhou，Yong Dao, & Ning，Jian Hui. (2008). Lower bounds of the wrap-around L2-discrepancy and relationships between MLHD and uniform design with a large size. Journal of Statistical Planning and Inference, 138(8), 2330-2339. |
| MLA | Zhou，Yong Dao,et al."Lower bounds of the wrap-around L2-discrepancy and relationships between MLHD and uniform design with a large size". Journal of Statistical Planning and Inference 138.8(2008): 2330-2339. |
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