Lp-convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in Rd

Abstract

In this paper, based on the Rosenthal-type inequality for asymptotically negatively associated random vectors with values in $R^d$, we establish results on $L_p$-convergence and complete convergence of the maximums of partial sums are established. We also obtain weak laws of large numbers for coordinatewise asymptotically negatively associated random vectors with values in $R^d$.