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On the uniform convergence of relative frequencies of events to their probabilities. (English) Zbl 1337.60009

Vovk, Vladimir (ed.) et al., Measures of complexity. Festschrift for Alexey Chervonenkis. Cham: Springer (ISBN 978-3-319-21851-9/hbk; 978-3-319-21852-6/ebook). 11-30 (2015).
Summary: This chapter reproduces the English translation by B.Seckler of the paper [Theory Probab. Appl. 16, 264–280 (1971); translation from Teor. Veroyatn. Primen. 16, 264–279 (1971; Zbl 0247.60005)] in which the authors gave proofs for the innovative results they had obtained in a draft form in July 1966 and announced in 1968 in their note in [Sov. Math., Dokl. 9, 915–918 (1968); translation from Dokl. Akad. Nauk SSSR 181, 781–783 (1968; Zbl 0247.60004)].
For the entire collection see [Zbl 1331.68020].

MSC:

60A05 Axioms; other general questions in probability
60F15 Strong limit theorems
01A75 Collected or selected works; reprintings or translations of classics
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