Some Links Between Uniformity Measured By The Discrete Discrepancy And Other Criteria

The objective of this paper is to study the issue of the discrete discrepancy (Hickernell and Liu, 2002; Fang, Lin and Liu, 2003; Qin and Fang, 2004),which has widely applied to the field of fractional factorial designs. In this dissertation, through the application of Kronecker calculus for factorial arrangements, we develop some links among uniformity measured by the discrete discrepancy, orthogonality and aberration.