Abstract The class of widely orthant-dependent (WOD, in short) random variables includes independent sequence, negatively associated sequence, negatively orthant dependent sequence and extended negatively dependent sequence as special cases. In this paper, the complete convergence for weighted sums of WOD random variables under some mild conditions is established by using the Rosenthal type inequality for WOD random variables and the truncation method. The result obtained in the paper generalizes the corresponding ones for some dependent random variables.
DING Yang, WU Yi, WANG Xue-jun, XIE Xiu-juan, DU Ling. Complete convergence for weighted sums of widely orthant dependent random variables. Applied Mathematics A Journal of Chinese Universities, 2015, 30(4): 417-424.
