Complete convergence for arrays of row-wise ND random variables under sub-linear expectations

Wenjuan Wang and Qunying Wu

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 13, 3165-3176

Abstract: In this paper, complete convergence for arrays of row-wise ND random variables under sub-linear expectations is studied. As applications, the complete convergence theorems of weighted sums for negatively dependent random variables have been generalized to the sub-linear expectation space context. We extend some complete convergence theorems from the traditional probability space to the sub-linear expectation space and our results generalize corresponding results obtained by Ko.

Date: 2019
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DOI: 10.1080/03610926.2018.1476711

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