Borel–Cantelli Lemma for Capacities
Open Access
- 24 February 2025
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 13 (5) , 728
Abstract
In this paper, we investigate the second Borel–Cantelli lemma for capacity without the assumption of independence for events. We obtain a sufficient condition under which the second Borel–Cantelli lemma for capacity holds. Our results are natural extensions of the classical Borel–Cantelli lemma. However, the proof is different from the existing literature.Keywords
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