English

Equivalence of Weak and Strong Uniform Glivenko-Cantelli Classes

Probability 2023-11-14 v1

Abstract

Strong uniform Glivenko-Cantelli classes are weak uniform Glivenko-Cantelli, but to date results that prove the converse require additional conditions on the function class. This paper shows that no such extra requirements are necessary.

Keywords

Cite

@article{arxiv.2311.06324,
  title  = {Equivalence of Weak and Strong Uniform Glivenko-Cantelli Classes},
  author = {Shane R. Crowe},
  journal= {arXiv preprint arXiv:2311.06324},
  year   = {2023}
}