A best possible upper bound on the star discrepancy of (t, m, 2)-nets

Dick Josef and Kritzer Peter
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Dick Josef: The first author is supported by the Australian Research Council under its Center of Excellence Program.
Kritzer Peter: The second author is supported by the Austrian Research Foundation (FWF), Projects P17022-N12 and S8311-MAT.

Monte Carlo Methods and Applications, 2006, vol. 12, issue 1, 1-17

Abstract: We study the star discrepancy of (t, m, 2)-nets and (t, 2)-sequences in arbitrary base b. We give best possible upper bounds on the star discrepancy of (t, m, 2)-nets and show new upper bounds on the star discrepancy of (t, 2)-sequences. By these results, which shall be obtained by combinatorial arguments, we improve existing upper bounds on the star discrepancy of such point sets.

Keywords: (t; m; s)-net; (t; s)-sequence; star discrepancy (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1515/156939606776886643

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