NA随机变量序列加权和的完全收敛性

摘要

利用截尾法和矩不等式,证明一般情况下NA随机变量序列加权和的完全收敛性,推广独立随机序列加权和的完全收敛性.%The almost sure convergence of the weighted sums of NA random variables sequence was studied by means of truncation and G inequality Lemma. We proved the complete convergence of the weighted sums in the case where the weinghted coefficients ank are array of real numbers,which extends the convergence result of independent random variable sequence.