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A new lower bound for wrap-around L2-discrepancy on two and three mixed level factorials

Author

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  • Zhang, Qionghui
  • Wang, Zhenghong
  • Hu, Jianwei
  • Qin, Hong

Abstract

The objective of this paper is to study the issue of lower bound of the wrap-around L2-discrepancy value on asymmetrical designs with two and three mixed levels. We present a new lower bound of wrap-around L2-discrepancy, and by numerical simulation and some examples, we show that our lower bound behaves better than those in the literature.

Suggested Citation

  • Zhang, Qionghui & Wang, Zhenghong & Hu, Jianwei & Qin, Hong, 2015. "A new lower bound for wrap-around L2-discrepancy on two and three mixed level factorials," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 133-140.
    • Handle: RePEc:eee:stapro:v:96:y:2015:i:c:p:133-140
    DOI: 10.1016/j.spl.2014.08.023
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    References listed on IDEAS

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    1. Chatterjee, Kashinath & Li, Zhaohai & Qin, Hong, 2012. "Some new lower bounds to centered and wrap-round L2-discrepancies," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1367-1373.
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    Cited by:

    1. Li, Hongyi & Qin, Hong, 2018. "Some new results on Triple designs," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 1-9.

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