On Mean Convergence for the Partial Sums from Arrays of Rowwise and Pairwise \(M_{N}\)-Negatively Dependent Random Variables

In this study, we prove a mean convergence theorem for the partial sums from triangular arrays of rowwise and pairwise \(m_{n}\) -negatively dependent random variables, where \(m_{n}\) may be unbounded. The main theorem extends Theorem 3.1 of Chen, Bai, and Sung (J. Math.  Anal. Appl. 419, 1290–1302 (2014)).