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Connections between uniformity and aberration in general multi-level factorials

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  • Fasheng Sun
  • Jie Chen
  • Min-Qian Liu

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  • Fasheng Sun & Jie Chen & Min-Qian Liu, 2011. "Connections between uniformity and aberration in general multi-level factorials," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 73(3), pages 305-315, May.
    • Handle: RePEc:spr:metrik:v:73:y:2011:i:3:p:305-315
    DOI: 10.1007/s00184-009-0279-7
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    References listed on IDEAS

    as
    1. Kai-Tai Fang & Dennis K. J. Lin & Min-Qian Liu, 2003. "Optimal mixed-level supersaturated design," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 58(3), pages 279-291, December.
    2. Fred J. Hickernell, 2002. "Uniform designs limit aliasing," Biometrika, Biometrika Trust, vol. 89(4), pages 893-904, December.
    3. Hickernell, Fred J., 1999. "Goodness-of-fit statistics, discrepancies and robust designs," Statistics & Probability Letters, Elsevier, vol. 44(1), pages 73-78, August.
    4. Hong Qin & Na Zou & Kashinath Chatterjee, 2009. "Connection between uniformity and minimum moment aberration," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 70(1), pages 79-88, June.
    5. Hong Qin & Kai-Tai Fang, 2004. "Discrete discrepancy in factorial designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 60(1), pages 59-72, July.
    6. Fang, Kai-Tai & Qin, Hong, 2003. "A note on construction of nearly uniform designs with large number of runs," Statistics & Probability Letters, Elsevier, vol. 61(2), pages 215-224, January.
    7. Hong Qin & Mingyao Ai, 2007. "A note on the connection between uniformity and generalized minimum aberration," Statistical Papers, Springer, vol. 48(3), pages 491-502, September.
    8. Min-Qian Liu & Fred Hickernell, 2006. "The Relationship Between Discrepancies Defined on a Domain and on its Subset," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 63(3), pages 317-327, June.
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    Cited by:

    1. Zujun Ou & Hong Qin, 2019. "Optimal foldover plans of asymmetric factorials with minimum wrap-around $$L_2$$ L 2 -discrepancy," Statistical Papers, Springer, vol. 60(5), pages 1699-1716, October.
    2. Zujun Ou & Hong Qin & Hongyi Li, 2015. "Some lower bounds of centered $$L_2$$ L 2 -discrepancy of $$2^{s-k}$$ 2 s - k designs and their complementary designs," Statistical Papers, Springer, vol. 56(4), pages 969-979, November.

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