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Limit theorems for sub-linear expectations are challenging field which have raised a large number of issues of interest recently. The aim of this article is to establish the strong limit theorems of weighted sums under a sub-linear expectation space. As applications, the strong limit theorem for extended negatively dependent and identically distributed random variables have been generalized to the sub-linear expectation space context.

Strong limit theorems of weighted sums for extended negatively dependent random variables under sub-linear expectations