Some lower bounds of centered $$L_2$$ L 2 -discrepancy of $$2^{s-k}$$ 2 s - k designs and their complementary designs

Zujun Ou (), Hong Qin () and Hongyi Li

Statistical Papers, 2015, vol. 56, issue 4, 969-979

Abstract: The indicator function is an effective tool in studying factorial designs. This paper presents some lower bounds of centered $$L_2$$ L 2 -discrepancy through indicator function. Some new lower bounds of centered $$L_2$$ L 2 -discrepancy for $$2^{s-k}$$ 2 s - k designs and their complementary designs are given. Numerical results show that our lower bounds are tight and better than the existing results. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Indicator function; Fractional factorials; Uniformity; Word; 62K15; 62K10 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s00362-014-0618-2

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