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相依条件下滑动平均过程精确渐近性的一般规律OA北大核心CSTPCD

A GENERAL LAW OF PRECISE ASYMPTOTICS FOR MOVING AVERAGE PROCESS UNDER DEPENDENCE

中文摘要英文摘要

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。

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.

肖小勇;尹洪位

南昌大学数学系,江西南昌 330031南昌大学数学系,江西南昌 330031

精确渐近性一般规律滑动平均过程ϕ-混合

precise asymptoticsa general lawmoving average processϕ-mixing

《数学杂志》 2016 (4)

747-758,12

Supported by the Doctoral Starting up Foundation of Nanchang University (06300976)

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