A new lower bound for wrap-around L-2-discrepancy on two and three mixed level factorials

作者：Zhang Qionghui; Wang Zhenghong; Hu Jianwei; Qin Hong^*

来源：Statistics and Probability Letters, 2015, 96: 133-140.

DOI：10.1016/j.spl.2014.08.023

• Lower bound
• U-type design
• Uniform design
• Weighted coincidence number

The objective of this paper is to study the issue of lower bound of the wrap-around L-2-discrepancy value on asymmetrical designs with two and three mixed levels. We present a new lower bound of wrap-around L-2-discrepancy, and by numerical simulation and some examples, we show that our lower bound behaves better than those in the literature.

• 单位
  中南民族大学; 华中师范大学