Journal of Jishou University(Natural Sciences Edition)

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Uniformity of Two-Level Combined Designs Under Centered L2-Discrepancy

LI Jie, OU Zujun   

  1. (College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China)
  • Online:2020-03-25 Published:2020-09-08


The uniformity of combined designs under centered L2-discrepancy are discussed, and some lower bounds of centered L2-discrepancy of the combined designs are provided, which can be used as a benchmark for searching optimal foldover plans. Finally, some numerical examples are provided to illustrate the theoretical results.

Key words: centered L2-discrepancy, foldover, combined design, lower bound

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