Generalizations of Borel-Cantelli Lemma
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Abstract:
The Borel-Cantelli Lemma is very important in the probability theory. In this paper, we first describe the general case of the Borel-Cantelli Lemma. The first part of this lemma, assuming convergence and the second part includes divergence and independence assumptions. In the following, we have brought generalizations of the first and second part of this lemma. In most generalizations of part $amalg$, the condition of independence, pairwise independence, weakening and elimination of the condition of independence have been investigated.
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Journal title
volume 23 issue 1
pages 65- 77
publication date 2018-09
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