Bounds for probabilities of unions of events and the Borel–Cantelli lemma

Andrei N. Frolov

Statistics & Probability Letters, 2012, vol. 82, issue 12, 2189-2197

Abstract: We discuss a method which yields new bounds for probabilities of unions of events. These bounds are stronger than the Chung–Erdős inequality and its generalizations. We derive new generalizations of the second part of the Borel–Cantelli lemma. Earlier generalizations are special cases.

Keywords: The Borel–Cantelli lemma; The Chung–Erdős inequality; Bounds for unions of events (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.spl.2012.08.002

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