[1] HICKERNELL FRED J.A Generalized Discrepancy and Quadrature Error Bound[J].Mathematics of Computation,1998,67(221):299-322.
[2] FANG Kaitai,MA Changxing,MUKERJEE RAHUL.Uniformity in Fractional Factorials[M]∥ FANG Kaitai,HICKERNELL FRED J,NIEDERREITER HARAL,Eds.Monte Carlo and Quasi-Monte Carlo Methods 2000.Berlin:Springer-Verlag,2002:232-241.
[3] FANG Kaitai,LU Xuan,WINKER PETER.Lower Bounds for Centered and Wrap-Around L2-Discrepancy and Construction of Uniform Designs by Threshold Accepting[J].Journal of Complexity,2003,19(5):692-711.
[4] QIN Hong,ZHANG Shangli,FANG Kaitai.Constructing Uniform Design with Two-or Three-Level[J].Acta Mathematica Scientia,2006,26(3):451-459.
[5] CHATTERJEE KASHINATH,LI Zhaohai,QIN Hong.Some New Lower Bounds to Centered and Wrap-Around L2-Discrepancies[J].Statistics & Probability Letters,2012,82(7):1367-1373.
[6] CHATTERJEE KASHINATH,FANG Kaitai,QIN Hong.Uniformity in Factional Designs with Mixed Levels[J].Journal of Statistical Planning and Inference,2005,128(2):593-607.
[7] ZHANG Qionghui,WANG Zhenghong,HU Jianwei,et al.A New Lower Bound for Wrap-Around L2-Discrepancy on Two and Three Mixed Level Factorials[J].Statistics & Probability Letters,2015,96:133-140.
[8] FANG Kaitai,TANG Yu,YIN Jianxing.Lower Bounds for Wrap-Around L2-Discrepancy and Constructions of Symmetrical Uniform Designs[J].Journal of Complexity,2005,21(5):757-771.
[9] ZHOU Yongdao,NING Jianhui.Lower Bounds of the Wrap-Around L2-Discrepancy and Relationships Between MLHD and Uniform Design with a Large Size[J].Journal of Statistical Planning and Inference,2008,138(8):2330-2339.
[10] HU Liuping,CHATTERJEE KASHINATH,LIU Jiaqi,et al.New Lower Bound for Lee Discrepancy of Asymmetrical Factorials[J].Statistical Papers,2020,61(4):1763-1772.
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