Discrepancy for uniform design of experiments with mixtures |
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| Authors: | Jian-Hui Ning Yong-Dao Zhou Kai-Tai Fang |
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| Institution: | 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 |
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| 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 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 disadvantage of the discrepancies proposed before. |
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