On inequalities for probabilities of unions of events and the Borel-Cantelli lemma

Authors

  • Andrei N. Frolov St.Petersburg State University, Universitetskaya nab., 7/9, St.Petersburg, 199034, Russian Federation;

Abstract

New upper bound are found for probabilities of unions of events. Examples show theirs optimality. A generalization of the first par of the Borel-Cantelli lemma is obtained. Refs 22.

Keywords:

Bonferroni inequalities, probabilities of unions of events, Borel-Cantelli lemma

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Published

2014-05-01

How to Cite

Frolov, A. N. (2014). On inequalities for probabilities of unions of events and the Borel-Cantelli lemma. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 1(2), 201–210. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11044

Issue

Vol. 1 No. 2 (2014)

Section

Mathematics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.