拉丁超立方样本星偏差的概率下界
数值分析
2021-09-21 v1
摘要
我们给出了拉丁超立方样本星偏差的概率下界。这些界限是紧致的，因为它们与文献 [M.~Gnewuch, N.~Hebbinghaus. "Discrepancy bounds for a class of negatively dependent random points including Latin hypercube samples". Preprint 2016.] 中证明的拉丁超立方样本星偏差的近期概率上界相匹配。该结果与我们的工作共同表明，拉丁超立方样本的偏差与均匀采样点集的偏差至多相差常数因子。
引用
@article{arxiv.1707.08481,
title = {Probabilistic Lower Bounds for the Discrepancy of Latin Hypercube Samples},
author = {Benjamin Doerr and Carola Doerr and Michael Gnewuch},
journal= {arXiv preprint arXiv:1707.08481},
year = {2021}
}