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Discrepancy for uniform design of experiments with mixtures

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成果类型:
期刊论文
作者:
Ning, Jian-Hui*;Zhou, Yong-Dao;Fang, Kai-Tai
通讯作者:
Ning, Jian-Hui
作者机构:
[Ning, Jian-Hui] Ctr China Normal Univ, Dept Math & Stat, Wuhan 430079, Peoples R China.
[Zhou, Yong-Dao; Ning, Jian-Hui; Fang, Kai-Tai] BNU HKBU United Int Coll, Div Sci & Technol, Zhuhai 519085, Peoples R China.
[Zhou, Yong-Dao] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China.
通讯机构:
[Ning, Jian-Hui] C
Ctr China Normal Univ, Dept Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Experiments with mixtures;Uniform design;L-p-discrepancy;DM2-discrepancy
期刊:
Journal of Statistical Planning and Inference
ISSN:
0378-3758
年:
2011
卷:
141
期:
4
页码:
1487-1496
基金类别:
NSFCNational Natural Science Foundation of China (NSFC) [10926125, 10926046]; Research Foundation from Academy of Mathematics and System Sciences, Chinese Academy of SciencesChinese Academy of Sciences; Youth Science Foundation of Sichuan University [2008130]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
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 DM2-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 ...

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