Equivalence of Weak and Strong Uniform Glivenko-Cantelli Classes

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.

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Bibliographic Details
Published inarXiv.org
Main Author Crowe, Shane R
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.11.2023
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Summary: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.
ISSN:2331-8422