Wrap-Around L2-Discrepancy of Random Sampling, Latin Hypercube and Uniform Designs

Lower bounds for centered and wrap-aroun

Lower bounds for centered and wrap-around L2-discrepancies and construction of uniform designs by threshold accepting

✍ Kai-Tai Fang; Xuan Lu; Peter Winker 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 224 KB

We study the uniformity of two-and three-level U-type designs based on the centered and wrap-around L 2 -discrepancies. By analyzing the known formulae, we find it possible to reexpress them as functions of column balance, and also as functions of Hamming distances of the rows. These new representat