Discrepancy for uniform design of experiments with mixtures

doi:10.1016/j.jspi.2010.10.015

Details of Research Outputs

Status	已发表Published
Title	Discrepancy for uniform design of experiments with mixtures
Creator	Ning, Jianhui 1,2; Zhou, Yongdao 2,3; Fang, Kaitai2
Date Issued	2011
Source Publication	Journal of Statistical Planning and Inference
ISSN	0378-3758
Volume	141 Issue:4 Pages:1487-1496
Abstract	The uniform design is a kind of space filling design that is robust against the model specification. The uniform design has been widely applied to experiments with mixtures. In this paper, we propose a new discrepancy DM-discrepancy as a new criterion to measure the uniformity of designs with mixtures. A computational formula of the new discrepancy, by the functional method, is also given. This property overcome the main disadvantage of the discrepancies proposed before. © 2010 Elsevier B.V.
Keyword	DM2-discrepancy Experiments with mixtures Lp-discrepancy Uniform design
DOI	10.1016/j.jspi.2010.10.015
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Statistics & Probability
WOS ID	WOS:000286960500012
Scopus ID	2-s2.0-78650212395
Citation statistics	Cited Times:24[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/1705
Collection	Faculty of Science and Technology
Corresponding Author	Ning, 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 519085, China 3.Department of Mathematics, Sichuan University, Chengdu 610064, China
First Author Affilication	Beijing Normal-Hong Kong Baptist University
Corresponding Author Affilication	Beijing Normal-Hong Kong Baptist University
Recommended Citation GB/T 7714	Ning, Jianhui,Zhou, Yongdao,Fang, Kaitai. Discrepancy for uniform design of experiments with mixtures[J]. Journal of Statistical Planning and Inference, 2011, 141(4): 1487-1496.
APA	Ning, Jianhui, Zhou, Yongdao, & Fang, Kaitai. (2011). Discrepancy for uniform design of experiments with mixtures. Journal of Statistical Planning and Inference, 141(4), 1487-1496.
MLA	Ning, Jianhui,et al."Discrepancy for uniform design of experiments with mixtures". Journal of Statistical Planning and Inference 141.4(2011): 1487-1496.

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