研究了NA随机变量序列加权和的几乎处处收敛性,利用截尾法和Borel-Cantelli引理,证明了加权系数ank为列阵情形的强收敛性,推广了独立随机序列加权和的强收敛性。
The almost sure convergence for the weighted sums of NA random variables sequence is studied.By the method of truncation and Borel-Cantelli Lemma,the strong convergence for the weighted sums is proved in the case where the weinghted coefficients a_nk are array of real numbers,which extends the corresponding result of independent random variable sequence.