Abstract
ABSTRACT In this paper, based on inequalities for the maximum of the partial sums of m-asymptotically almost negatively associated random vectors in Hilbert space, we establish various kinds of strong laws of large numbers, -convergence and complete convergence. In addition, by relating this dependence condition to residual Cesáro alpha-integrability and to strongly residual Cesáro alpha-integrability, we obtain some -convergence and complete convergence results.
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