journal6 ›› 2014, Vol. 35 ›› Issue (3): 20-22.DOI: 10.3969/j.issn.1007-2985.2014.03.005

• Mathematics • Previous Articles     Next Articles

Lower Bounds to Discrete Discrepancy and Symmetric L2 Discrepancy in  Two Level Fractional Factorial Designs

 LI  Hong-Yi, LI  Qi-Sheng, OU Zu-Jun   

  1. (1.Normal College,Jishou University,Jishou 416000,Hunan China;2.College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan  China)
  • Online:2014-05-25 Published:2014-07-05

Abstract: On the basis of existing formula of  uniformity measurement and using the Langrange multiplier method and the formula of Taylor,the tight lower bounds to discrete discrepancy and symmetric L2 discrepancy of two level fractional factorial designs are obtained.Finally,two examples are given to illustrate the results.

Key words: uniform design, U type design, discrete discrepancy, symmetric L2  , discrepancy, lower bound

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