1 citations · 1 across the 9 of their papers we have counts for
9 papers
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…
Sharp Non-Asymptotic Bounds for the Star Discrepancy of Double-Infinite Random Matrices via Optimal Covering Numbers
Xiaoda Xu, Jun Xian
We establish sharp non-asymptotic probabilistic bounds for the star discrepancy of double-infinite random matrices -- a canonical model for sequences of random point sets in high d…
Expected star discrepancy based on stratified sampling
Xiaoda Xu, Jun Xian
We present two main contributions to the expected star discrepancy theory. First, we derive a sharper expected upper bound for jittered sampling, improving the leading constants an…
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…
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.
Star discrepancy bounds based on Hilbert space filling curve stratified sampling and its applications
Jun Xian, Xiaoda Xu
In this paper, we consider the upper bound of the probabilistic star discrepancy based on Hilbert space filling curve sampling. This problem originates from the multivariate integr…
Improved expected -discrepancy formulas on jittered sampling
Jun Xian, Xiaoda Xu
We study the expected discrepancy under two classes of partitions, explicit and exact formulas are derived respectively. These results attain better expected discrepan…
Expected discrepancy bound for a class of new stratified sampling models
Jun Xian, Xiaoda Xu
We introduce a class of convex equivolume partitions. Expected discrepancy are discussed under these partitions. There are two main results. First, under this kind of partiti…
Star discrepancy for new stratified random sampling I: optimal expected star discrepancy
Jun Xian, Xiaoda Xu, Xinkai Zhou
We introduce a class of convex equivolume partitions. Expected star discrepancy results are compared for stratified samples under these partitions, including simple random samples.…