Complete integral convergence for arrays of row-wise extended independent random variables under Sub-linear expectations

Jie Li and Qunying Wu

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 22, 5613-5626

Abstract: In this paper, we establish the complete convergence and complete integral convergence for arrays of row-wise extended independent random variables under sub-linear expectation space with some conditions. At the same time we extend some complete convergence and complete integral convergence theorems from the classical probability space to the sub-linear expectation space. The results generalize corresponding results obtained by Wu et al. (2017).

Date: 2020
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DOI: 10.1080/03610926.2019.1620954

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