Strong Convergence Properties for Asymptotically Almost Negatively Associated Sequence

摘要

By applying the moment inequality for asymptotically almost negatively associated (in shortAANA) random sequence and truncated method, we get the three series theorems forAANArandom variables. Moreover, a strong convergence property for the partial sums ofAANArandom sequence is obtained. In addition, we also study strong convergence property for weighted sums ofAANArandom sequence.