| 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. |
| 关键词: NA序列 加权和 完全收敛性 |
| DOI： |
| 投稿时间：2011-02-27 |
| 基金项目:广西自然科学基金项目(桂科自2011GXNSFA018149);广西科学基金项目(桂科自0832262)资助 |
|
| Complete Convergence of Weighted Sums of NA Random Variables Sequence |
|
LIU Yi-qing, WANG Yuan-qing
|
| (Department of Science, Guilin University of Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| 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 αnk are array of real numbers, which extends the convergence result of independent random variable sequence. |
| Key words: NA sequence weighted sums complete convergence |
