English

Improved expected $L_2$-discrepancy formulas on jittered sampling

Computation 2023-03-13 v2 Probability

Abstract

We study the expected L2 L_2-discrepancy under two classes of partitions, explicit and exact formulas are derived respectively. These results attain better expected L2L_2-discrepancy formulas than jittered sampling.

Cite

@article{arxiv.2211.07862,
  title  = {Improved expected $L_2$-discrepancy formulas on jittered sampling},
  author = {Jun Xian and Xiaoda Xu},
  journal= {arXiv preprint arXiv:2211.07862},
  year   = {2023}
}

Comments

26pages, 13figures. arXiv admin note: text overlap with arXiv:2204.08752

R2 v1 2026-06-28T05:54:57.205Z