2A

On convergence in mean for double arrays of pairwise independent random variables

Authors:
Nguyễn Chí Bảo, Trần Thị Thanh Bình, Lê Văn Thành, Nguyễn Đức Tiệp,
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Abstract
In this paper, we prove a theorem on convergence in mean of order
p for double arrays of pairwise independent random variables, where 1 ≤ p < 2.
We obtain Theorem 2.5 in Hong and Hwang [3] as a special case of the main result.
The proof is based on the von Bahr–Essen inequality for pairwise independent
random variables which is proved recently by Chen, Bai and Sung [1]
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Keywords
Double array convergence in mean pairwise independent random variables uniform integrability
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Vinh University journal of science

Tạp chí khoa học Trường Đại học Vinh

ISSN: 1859 - 2228

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