| 相依条件下滑动平均过程精确渐近性的一般规律 |
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| 引用本文： | 肖小勇,尹洪位.相依条件下滑动平均过程精确渐近性的一般规律[J].数学杂志,2016,36(4):747-758. |
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| 作者姓名： | 肖小勇 尹洪位 |
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| 作者单位： | 南昌大学数学系, 江西 南昌 330031,南昌大学数学系, 江西 南昌 330031 |
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| 基金项目： | Supported by the Doctoral Starting up Foundation of Nanchang University (06300976). |
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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.
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| 关 键 词： | 精确渐近性 一般规律 滑动平均过程 Ψ-混合 |
| 收稿时间： | 2014/2/21 0:00:00 |
| 修稿时间： | 2014/7/31 0:00:00 |
A GENERAL LAW OF PRECISE ASYMPTOTICS FOR MOVING AVERAGE PROCESS UNDER DEPENDENCE |
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| XIAO Xiao-yong and YIN Hong-wei.A GENERAL LAW OF PRECISE ASYMPTOTICS FOR MOVING AVERAGE PROCESS UNDER DEPENDENCE[J].Journal of Mathematics,2016,36(4):747-758. |
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| Authors: | XIAO Xiao-yong and YIN Hong-wei |
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| Institution: | Department of Mathematics, Nanchang University, Nanchang 330031, China and Department of Mathematics, Nanchang University, Nanchang 330031, China |
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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. |
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| Keywords: | precise asymptotics a general law moving average process Ψ-mixing |
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