A note on Lee discrepancy

The objective of this paper is to study the issue of Lee discrepancy [Zhou, Y.D., Ning, J.H., Song, X.B., 2008. Lee discrepancy and its applications in experimental designs. Statist. Probab. Lett. 78, 1933-1942], which can be used to measure the uniformity of fractional factorials. Here we present two improved lower bounds of Lee discrepancy of fractional factorials with two or three levels, and develop some links between Lee discrepancy and minimum moment aberration [Xu, H., 2003. Minimum moment aberration for nonregular designs and supersaturated designs. Statist. Sinica 13, 691-708].