Jun Xian

activity

20222026

most citedStar discrepancy for new stratified random sampling I: optimal expected star discrepancy

1 citations · 1 across the 9 of their papers we have counts for

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3 papers · 1 filter

stat.CO2022

Improved expected $L_{2}$ -discrepancy formulas on jittered sampling

Jun Xian, Xiaoda Xu

We study the expected $L_{2} -$ discrepancy under two classes of partitions, explicit and exact formulas are derived respectively. These results attain better expected $L_{2} -$ discrepan…

math.ST2022

Expected $L_{2} -$ discrepancy bound for a class of new stratified sampling models

Jun Xian, Xiaoda Xu

We introduce a class of convex equivolume partitions. Expected $L_{2} -$ discrepancy are discussed under these partitions. There are two main results. First, under this kind of partiti…

math.ST2022★ 1 cited

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.…

Improved expected L2​-discrepancy formulas on jittered sampling

Expected L2​−discrepancy bound for a class of new stratified sampling models

Star discrepancy for new stratified random sampling I: optimal expected star discrepancy

Improved expected $L_{2}$ -discrepancy formulas on jittered sampling

Expected $L_{2} -$ discrepancy bound for a class of new stratified sampling models