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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…