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Status已发表Published
TitleUniform design for experiments with mixtures
Creator
Date Issued2011
Source PublicationCommunications in Statistics - Theory and Methods
ISSN0361-0926
Volume40Issue:10Pages:1734-1742
Abstract

The goal of uniform mixture design is to scatter the design points in the experimental region uniformly. The commonly used criteria, such as mean square distance, are based on the Euclidean distance. Based on the Lee distance, a new criterion is proposed in this article. And an algorithm, called NTLBG, is also proposed to refine the randomly generated design for the experimental design with mixtures. Some examples show that the design generated by the NTLBG algorithm has a lower criteria value. Copyright © Taylor & Francis Group, LLC.

KeywordNTLBG algorithm Uniform mixture design Wrap-around mean square distance
DOI10.1080/03610921003637470
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000288661600002
Scopus ID2-s2.0-79952997569
Citation statistics
Cited Times:12[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/1714
CollectionFaculty of Science and Technology
Corresponding AuthorNing, Jianhui
Affiliation
1.Department of Mathematics and Statistics, Center China Normal University, Wuhan 430079, China
2.Division of Science and Technology, BNU-HKBU United International College, Zhuhai, China
3.Institute of Statistical Science, Academia Sinica, Taipei, Taiwan
4.Department of Mathematics, Sichuan University, Chengdu, China
Recommended Citation
GB/T 7714
Ning, Jianhui,Fang, Kaitai,Zhou, Yongdao. Uniform design for experiments with mixtures[J]. Communications in Statistics - Theory and Methods, 2011, 40(10): 1734-1742.
APA Ning, Jianhui, Fang, Kaitai, & Zhou, Yongdao. (2011). Uniform design for experiments with mixtures. Communications in Statistics - Theory and Methods, 40(10), 1734-1742.
MLA Ning, Jianhui,et al."Uniform design for experiments with mixtures". Communications in Statistics - Theory and Methods 40.10(2011): 1734-1742.
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