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Summary We present a new technique to estimate the star discrepancy of digital nets and sequences which is based on an analysis of the Walsh series of the discrepancy function.
Dick and Pillichshammer recently introduced generalized rank-1 polynomial lattices which can be viewed as digital (t,α,β,n×m,s)-nets as introduced by the first author. In this work we generalize the figure of merit of rank-1 polynomial lattices such that the new figure of merit ϱα is related to the t-value, when one views the rank-1 polynomial lattice as a digital (t,α,β,n×m,s)-net. Then we show the...
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