On a partition with a lower expected \(\mathcal{L}_2\)-discrepancy than classical jittered sampling
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Publication:2121490
DOI10.1016/j.jco.2021.101616zbMath1497.11183arXiv2106.01937OpenAlexW3209028876MaRDI QIDQ2121490
Markus Kiderlen, Florian Pausinger
Publication date: 4 April 2022
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.01937
Partitions of sets (05A18) Combinatorial probability (60C05) Irregularities of distribution, discrepancy (11K38) Geometric probability and stochastic geometry (60D99)
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On the expected \(\mathcal{L}_2\)-discrepancy of jittered sampling ⋮ Expected integration approximation under general equal measure partition
Cites Work
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- Covering numbers, dyadic chaining and discrepancy
- On the \(L_2\)-discrepancy for anchored boxes
- Optimal jittered sampling for two points in the unit square
- Discrepancy of stratified samples from partitions of the unit cube
- A lower bound for the discrepancy of a random point set
- Explicit constructions in the classical mean squares problem in irregularities of point distribution
- Optimal L2discrepancy bounds for higher order digital sequences over the finite field F2
- On the Distribution of the Number of Successes in Independent Trials
- Explicit constructions of point sets and sequences with low discrepancy
- A generalized discrepancy and quadrature error bound
- The inverse of the star-discrepancy depends linearly on the dimension
- A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy
- A sharp discrepancy bound for jittered sampling
- On irregularities of distribution
- Inequalities: theory of majorization and its applications
- Sampling
- On the discrepancy of jittered sampling
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