Good Lattice Rules with a Composite Number of Points Based on the Product Weighted Star Discrepancy

@inproceedings{SinescuGoodLR,
  title={Good Lattice Rules with a Composite Number of Points Based on the Product Weighted Star Discrepancy},
  author={Vasile Sinescu and Stephen Joe}
}
Rank-1 lattice rules based on a weighted star discrepancy with weights of a product form have been previously constructed under the assumption that the number of points is prime. Here, we extend these results to the non-prime case. We show that if the weights are summable, there exist lattice rules whose weighted star discrepancy is O(n), for any δ > 0… CONTINUE READING