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.
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Acknowledgements
The authors thank the Editor, the Associate Editor and two referees for their comments, which have led to improvements in the paper. This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 11561025, 11701213), Provincial Natural Science Foundation of Hunan (Grant Nos. 2017JJ2218, 2017JJ3253), Provincial Postgraduate Scientific Research and Innovation Plan Item of Hunan (Grant No. CX2017B716).
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Hu, L., Chatterjee, K., Liu, J. et al. New lower bound for Lee discrepancy of asymmetrical factorials. Stat Papers 61, 1763–1772 (2020). https://doi.org/10.1007/s00362-018-0998-9
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DOI: https://doi.org/10.1007/s00362-018-0998-9