Discrepancy for uniform design of experiments with mixtures

作者：Ning, Jian-Hui^*; Zhou, Yong-Dao; Fang, Kai-Tai

来源：Journal of Statistical Planning and Inference, 2011, 141(4): 1487-1496.

DOI：10.1016/j.jspi.2010.10.015

• Experiments with mixtures
• Uniform design
• L-p-discrepancy
• DM2-discrepancy

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.

• 出版日期2011-4
• 单位华中师范大学; 北京师范大学-香港浸会大学联合国际学院