Journal of Jishou University(Natural Sciences Edition) ›› 2022, Vol. 43 ›› Issue (2): 31-37.DOI: 10.13438/j.cnki.jdzk.2022.02.006

• Mathematics • Previous Articles     Next Articles

Design Efficiency of Three-Level Minimum Projection Uniform Designs

BAI Qiming,HUANG Xingyou,XUE Huili,LI Hongyi   

  1. (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2022-03-25 Published:2022-07-14

Abstract: Under the centered L2-discrepancy,the analytical relationship between the uniformity pattern and design efficiency of three-level orthogonal designs with strength 2 is established.For the three-level orthogonal arrays with strength 3,the minimum projection uniformity criterion is equivalent to the design efficiency criterion.For the three-level designs,a tight lower bound of the uniformity pattern is obtained,which can measure whether the design is the minimum projection uniform design.

Key words: minimum projection uniform design, design efficiency, orthogonal array, centered L2-discrepancy, lower bound

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