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Projections of digital nets and sequences

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  • Schmid, Wolfgang Ch.

Abstract

Currently, in the context of quasi-Monte Carlo applications, the most effective low-discrepancy point sets and sequences are digital (t, m, s)-nets and (t, s)-sequences. In this survey we will consider ideas for the investigation of a new quality parameter reflecting projections of digital nets and sequences. Finally we will give several examples for commonly used digital point sets.

Suggested Citation

  • Schmid, Wolfgang Ch., 2001. "Projections of digital nets and sequences," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(1), pages 239-247.
    • Handle: RePEc:eee:matcom:v:55:y:2001:i:1:p:239-247
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    References listed on IDEAS

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    1. Radović Igor & Sobol’ Ilya M. & Tichy Robert F., 1996. "Quasi-Monte Carlo Methods for Numerical Integration: Comparison of Different Low Discrepancy Sequences," Monte Carlo Methods and Applications, De Gruyter, vol. 2(1), pages 1-14, December.
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    1. Sidonie Lefebvre & Antoine Roblin & Suzanne Varet & Gérard Durand, 2010. "Metamodeling of aircraft infrared signature dispersion," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 94(4), pages 405-422, December.

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