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On inequalities for probabilities of unions of events and the Borel-Cantelli lemma |
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| Authors: | A. N. Frolov |
| Affiliation: | 1. St. Petersburg State University, St. Petersburg, 199034, Russia |
| Abstract: | New upper bound for probabilities of unions of events are found. Examples show their optimality. A generalization of the first part of the Borel-Cantelli lemma is obtained. |
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