Qiu, De Hua et Chen, Ping Yan, Complete and complete moment convergence for weighted sums of widely orthant dependent random variables, Acta mathematica Sinica. English series (Print) , 30(9), 2014, pp. 1539-1548
In this paper, we establish a complete convergence result and a complete moment convergence result for weighted sums of widely orthant dependent random variables under mild conditions. As corollaries, the corresponding results for weighted sums of extended negatively orthant dependent random variables are also obtained, which generalize and improve the related known works in the literature.