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| 摘要: |
| 本文研究了相依条件下滑动平均过程完全收敛的精确渐近性问题. 利用正态分布逼近的方法及相关不等式, 获得了精确渐近性的一般规律, 推广了对数率和重对数率精确渐近性的已有结果. |
| 关键词: 精确渐近性 一般规律 滑动平均过程 Ψ-混合 |
| DOI： |
| 分类号:O211.4 |
| 基金项目:Supported by the Doctoral Starting up Foundation of Nanchang University (06300976). |
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| A GENERAL LAW OF PRECISE ASYMPTOTICS FOR MOVING AVERAGE PROCESS UNDER DEPENDENCE |
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XIAO Xiao-yong,YIN Hong-wei
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| Abstract: |
| In this paper, the problem of precise asymptotics of complete convergence for moving average processes under dependence is studied. By using the method of approximation of normal distribution and associated inequalities, a general law of precise asymptotics is obtained, which extends the existing results of precise asymptotics in the law of the logarithm and of the iterated logarithm. |
| Key words: precise asymptotics a general law moving average process Ψ-mixing |
