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On convergence in mean for double arrays of pairwise independent random variables
Authors: Nguyen Chi Bao, Trần TT Binh, Le V Thành, Nguyen Duc Tiep
342    0
Vinh University Journal of Science
: 50/no.2A     : 68--73
: https://vinhuni.edu.vn/DATA/0/upload/618/documents/2021/10/2a-2021/7nt012021_le_van_thanh_6873.pdf
: 1523-journal-version-bbtt.pdf
Publishing year: 6/2021
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].
Double array; convergence in mean; pairwise independent random variables; uniform integrability
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