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A new look at discrete discrepancy

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  • Chatterjee, Kashinath
  • Qin, Hong

Abstract

The objective of this paper is to study the issue of discrete discrepancy [Hickernell, F.J., Liu, M.Q., 2002. Uniform designs limit aliasing. Biometrika 89, 893-904; Fang, K.T., Lin, D.K.J., Liu, M.Q., 2003. Optimal mixed-level supersaturated design. Metrika 58, 279-291; Qin, H., Fang, K.T., 2004. Discrete discrepancy in factorial designs. Metrika 60, 59-72], which has wide application to the field of fractional factorial designs. Here we present an improved lower bound to discrete discrepancy.

Suggested Citation

  • Chatterjee, Kashinath & Qin, Hong, 2008. "A new look at discrete discrepancy," Statistics & Probability Letters, Elsevier, vol. 78(17), pages 2988-2991, December.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:17:p:2988-2991
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    References listed on IDEAS

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    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. 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.
    4. 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.
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