| END随机变量序列移动平均过程的极限性质 |
| |
| 引用本文： | 宋明珠,邵静,刘彩云.END随机变量序列移动平均过程的极限性质[J].浙江大学学报(理学版),2021,47(5):559-563. |
| |
| 作者姓名： | 宋明珠 邵静 刘彩云 |
| |
| 基金项目： | 安徽省高校自然科学研究重点项目(KJ2019A0700, KJ2019A0701)；安徽省高校优秀青年人才支持计划重点项目(gxyqZD2016317);安徽省级大学生创新创业训练计划项目（201810383173）. |
| |
| 摘 要： | 介绍了由END随机变量序列生成的移动平均过程，利用END随机变量序列的Rademacher-Menshov型不等式，得到了移动平均过程部分和最大值的矩完全收敛性和几乎处处收敛的极限性质。END随机变量序列是范围较广的相依序列，得到的结论是对前人研究工作的推进。
|
| 关 键 词： | END随机变量序列 移动平移过程 矩完全收敛性 极限性质 |
| 收稿时间： | 2018-11-29 |
Limiting properties of moving average processes for END random variable sequence |
| |
| SONG Mingzhu,SHAO Jing,LIU Caiyun.Limiting properties of moving average processes for END random variable sequence[J].Journal of Zhejiang University(Sciences Edition),2021,47(5):559-563. |
| |
| Authors: | SONG Mingzhu SHAO Jing LIU Caiyun |
| |
| Affiliation: | Institute of Mathematics and Computing,Tongling University, Tongling 244000, Anhui Province,China |
| |
| Abstract: | In this paper, we investigate the moving average processes, which is generated by extended negatively dependent (END) random variables Sequence. By using the Rademacher-Menshov type inequality of END random variables sequence, the limit properties of moment complete convergence and almost everywhere convergence of the maximal partial sums for moving average processes are obtained. END random variables sequence are widely used dependent sequence, our results extend the corresponding results in previous papers. |
| |
| Keywords: | END random variable sequence moving average processes complete moment convergence limiting properties |
|
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《浙江大学学报(理学版)》下载全文 |
