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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.
math.ST2023
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…