Complete and complete moment convergence for weighted sums of arrays of rowwise negatively dependent random variables under the sub-linear expectations

Abstract

In this article, we study complete and complete moment convergence theorems for arrays of rowwise negatively dependent random variables under the sub-linear expectations. The complete and complete moment convergence theorems in the sense of non-additive capacities are established for arrays of rowwise negatively dependent random variables. Our result improves the corresponding result of Wang et al. relative to the classical probability space.