Complete integration convergence for arrays of rowwise extended negatively dependent random variables under the sub-linear expectations

Abstract

Limit theorems of sub-linear expectations are challenging field that has attracted widespread attention in recent years. In this paper, we establish some results on complete integration convergence for weighted sums of arrays of rowwise extended negatively dependent random variables under sub-linear expectations. Our results generalize the complete moment convergence of the probability space to the sub-linear expectation space.

Keywords

• complete integration convergence
• sub-linear expectation
• extended negative dependence random variables
• complete convergence
• identical distribution