| Title | Lee discrepancy and its applications in experimental designs |
| Creator | |
| Date Issued | 2008-09-15 |
| Source Publication | Statistics and Probability Letters
 |
| ISSN | 0167-7152 |
| Volume | 78Issue:13Pages:1933-1942 |
| Abstract | Various discrepancies have been defined in uniform designs, such as centered L-discrepancy, wrap-around L-discrepancy and discrete discrepancy. Among them the discrete discrepancy can explore relationships among uniform designs, fractional factorial designs, and combinational designs. However, the discrete discrepancy is mainly good for two-level factorial designs. In this paper, a new discrepancy based on the Lee distance, Lee discrepancy, is proposed and its computational formula is given. The Lee discrepancy can expand the relationships between the discrete discrepancy and some criteria for factorial designs with multiple levels. Some lower bounds of the Lee discrepancy for symmetrical and asymmetrical designs are given, and some connections between the Lee discrepancy and the generalized minimum aberration are considered. Finally, relationships between the Lee discrepancy and majorization framework are also considered. © 2008 Elsevier B.V. All rights reserved. |
| DOI | 10.1016/j.spl.2008.01.062 |
| URL | View source |
| Language | 英语English |
| Scopus ID | 2-s2.0-49649101630 |
| Citation statistics | |
| Document Type | Journal article |
| Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/6657 |
| 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,Song，Xie Bing. Lee discrepancy and its applications in experimental designs[J]. Statistics and Probability Letters, 2008, 78(13): 1933-1942. |
| APA | Zhou，Yong Dao, Ning，Jian Hui, & Song，Xie Bing. (2008). Lee discrepancy and its applications in experimental designs. Statistics and Probability Letters, 78(13), 1933-1942. |
| MLA | Zhou，Yong Dao,et al."Lee discrepancy and its applications in experimental designs". Statistics and Probability Letters 78.13(2008): 1933-1942. |
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