Improved expected $L_2$-discrepancy formulas on jittered sampling

Abstract

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

arXiv comment26pages, 13figures. arXiv admin note: text overlap with arXiv:2204.08752