行为渐近几乎负相关随机变量阵列加权和的完全矩收敛性

摘要

In this work,the authors consider the complete moment convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA,in short) random variables,and establish some sufficient conditions for the complete moment convergence without assumption of identical distribution.The main result obtained generalizes and improves the corresponding ones for negatively associated and asymptotically almost negatively associated random variables,respectively.%本文考虑行为渐近几乎负相关(AANA)随机变量阵列加权和的完全矩收敛性,在未同分布假设下建立了完全矩收敛性的一些充分条件.获得的主要结果分别推广和改进了负相关随机变量和渐近几乎负相关随机变量的相应结论.