Lp $L_{p}$-convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in Rd $\mathbb{R}^{d}$

Abstract In this paper, based on the Rosenthal-type inequality for asymptotically negatively associated random vectors with values in Rd $\mathbb{R}^{d}$, we establish results on Lp $L_{p}$-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 Rd $\mathbb{R}^{d}$.

Abstract licence: CC BY-NC-ND

11 more references, whose wording the paper’s licence keeps private.

A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.