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math.PR2026
On a Class of Partitions with Lower Expected Star Discrepancy and Its Upper Bound than Jittered Sampling
Xiaoda Xu, Jun Xian
We investigate the expected star discrepancy under a newly designed class of convex equivolume partition models. The main contributions are two-fold. First, we establish a strong p…
math.PR2025
Random uniform approximation under weighted importance sampling of a class of stratified input
Jun Xian, Xiaoda Xu
We consider random discrepancy under weighted importance sampling of a class of stratified input. We give the expected discrepancy() upper bound in weighted f…
math.PR2023
On the lower expected star discrepancy for jittered sampling than simple random sampling
Jun Xian, Xiaoda Xu
We compare expected star discrepancy under jittered sampling with simple random sampling, and the strong partition principle for the star discrepancy is proved.