New Upper Bounds on the Star Discrepancy of (t,m, s)-Nets and (t, s)-Sequences


A popular way of measuring the quality of distribution of a point set of N points in the s-dimensional unit cube is to consider its star discrepancy D∗ N . The star discrepancy of (t,m, s)-nets and (t, s)-sequences, which are among the most widely known classes of s-dimensional quasi-Monte Carlo point sets, was studied extensively by Niederreiter. In the… (More)