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New lower bound for centered L2-discrepancy of four-level U-type designs

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  • Elsawah, A.M.
  • Qin, Hong

Abstract

A new lower bound of the centered L2-discrepancy for four-level U-type designs is obtained. Our new lower bound is sharper and valid for a lot of designs more than other existing lower bound, which is a useful complement to the lower bounds of discrepancies.

Suggested Citation

  • Elsawah, A.M. & Qin, Hong, 2014. "New lower bound for centered L2-discrepancy of four-level U-type designs," Statistics & Probability Letters, Elsevier, vol. 93(C), pages 65-71.
    • Handle: RePEc:eee:stapro:v:93:y:2014:i:c:p:65-71
    DOI: 10.1016/j.spl.2014.06.008
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    References listed on IDEAS

    as
    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. Elsawah, A.M., 2016. "Constructing optimal asymmetric combined designs via Lee discrepancy," Statistics & Probability Letters, Elsevier, vol. 118(C), pages 24-31.
    2. Elsawah, A.M. & Qin, Hong, 2015. "A new strategy for optimal foldover two-level designs," Statistics & Probability Letters, Elsevier, vol. 103(C), pages 116-126.

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