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

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Published/Copyright: 2006
Monte Carlo Methods and Applications
From the journal Volume 12 Issue 1

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.

Key Words: (t, m, s)-net,; (t, s)-sequence,; star discrepancy
Published Online: --
Published in Print: 2006-03-01

Copyright 2006, Walter de Gruyter

Articles in the same Issue

  1. A best possible upper bound on the star discrepancy of (t, m, 2)-nets
  2. Explicit stochastic ODE solution methods applied to high-temperature combustion
  3. On the Warnock-Halton quasi-standard error
  4. Random Walk on Fixed Spheres for Laplace and Lamé equations
  5. Editorial Board
https://doi.org/10.1515/156939606776886643
Keywords for this article
(t, m, s)-net,; (t, s)-sequence,; star discrepancy

Articles in the same Issue

  1. A best possible upper bound on the star discrepancy of (t, m, 2)-nets
  2. Explicit stochastic ODE solution methods applied to high-temperature combustion
  3. On the Warnock-Halton quasi-standard error
  4. Random Walk on Fixed Spheres for Laplace and Lamé equations
  5. Editorial Board
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