4A

On an extension of the Borel-Cantelli lemma for double arrays of dependent events

Authors:
Nguyễn Thị Ngọc Anh, Nguyễn Thị Bình, Lê Văn Thành, Nguyễn Thị Phương Thảo
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Abstract
In this paper, we present an extension of the Borel–Cantelli lemma for double arrays
of dependent events. From our main result, we obtain Theorem 2.1 of Petrov [Statistics
and Probability Letters, 2002] and the Borel–Cantelli lemma for double arrays of pairwise independent events as special cases.
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Keywords
Borel-Cantelli lemma double array dependent random variables
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Vinh University journal of science

Tạp chí khoa học Trường Đại học Vinh

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