Improved upper bounds on the star discrepancy of (t, m, s)-nets and (t, s)-sequences

@article{Kritzer2006ImprovedUB,
  title={Improved upper bounds on the star discrepancy of (t, m, s)-nets and (t, s)-sequences},
  author={Peter Kritzer},
  journal={J. Complexity},
  year={2006},
  volume={22},
  pages={336-347}
}
The concepts of (t, m, s)-nets and (t, s)-sequences are among the best known classes of point sets in the theory of quasi-Monte Carlo methods. In this paper, we give new general upper bounds for the star discrepancy of (t, m, s)-nets and (t, s)-sequences. By these findings, we improve existing upper bounds on the discrepancy of such point sets and extend results that have been obtained for low-dimensional nets and sequences during the past years. © 2005 Elsevier Inc. All rights reserved. 
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