New lower bound for Lee discrepancy of asymmetrical factorials

Liuping Hu, Kashinath Chatterjee, Jiaqi Liu and Zujun Ou ()
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Liuping Hu: Jishou University
Kashinath Chatterjee: Visva-Bharati University
Jiaqi Liu: Jishou University
Zujun Ou: Jishou University

Statistical Papers, 2020, vol. 61, issue 4, No 20, 1763-1772

Abstract: Abstract Lee discrepancy has wide applications in design of experiments, which can be used to measure the uniformity of fractional factorials. An improved lower bound of Lee discrepancy for asymmetrical factorials with mixed two-, three- and four-level is presented. The new lower bound is more accurate for a lot of designs than other existing lower bound, which is a useful complement to the lower bounds of Lee discrepancy and can be served as a benchmark to search uniform designs with mixed levels in terms of Lee discrepancy.

Keywords: Uniform design; Lee discrepancy; Lower bound (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s00362-018-0998-9

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