| 摘要: |
| 讨论ρ混合阵列行加权和在Cesàro一致可积条件下,或者在更为广泛条件下的L2收敛性,改进并推广了鞅差阵列行加权和的相应结果. |
| 关键词: ρ混合序列 Cesàro一致可积 L2收敛性 |
| DOI： |
| 投稿时间：2007-01-31修订日期：2007-04-09 |
| 基金项目:国家自然科学基金项目(10661006)资助课题 |
|
| L2 Convergence Properties of Weighted Sums for ρ Random Sequences |
|
TAN Cheng-liang, WU Qun-ying
|
| (Department of Mathematics and Physics, Guilin Institute of Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The L2 convergence of the weighted sums of ρ-mixing random sequences under the condition of Cesàro uniformly integrable or the very mild condition were discussed.That extended and improved corresponding results of Martingle difference sequence. |
| Key words: ρ-mixing random sequence Cesàro uniformly integrable L2 convergence. |
