﻿ M值随机序列滑动平均的一个强极限定理 A Strong Limit Theorem of M-Value Random Sequences on Moving Average

Pure Mathematics
Vol.07 No.02(2017), Article ID:19946,4 pages
10.12677/PM.2017.72010

A Strong Limit Theorem of M-Value Random Sequences on Moving Average

Honghong Qu, Aihua Fan*

School of Mathematics & Physics Science and Engineering, Anhui University of Technology, Ma’anshan Anhui

Received: Mar. 4th, 2017; accepted: Mar. 20th, 2017; published: Mar. 23rd, 2017

ABSTRACT

By using the classical Borel-Cantelli lemma, we obtain a general founded strong limit theorem for M-value random sequences on moving average. It is noticeable that the conclusion in this paper has no requirement of the random variables.

Keywords:M-Value Random Sequence, Strong Limit Theorem

M值随机序列滑动平均的一个强极限定理

1. 引言

, (1)

2. 主要结论

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a.s.

a.s. (2)

a.s. (3)

(4)

, (5)

a.s..(6)

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a.s.

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A Strong Limit Theorem of M-Value Random Sequences on Moving Average[J]. 理论数学, 2017, 07(02): 68-71. http://dx.doi.org/10.12677/PM.2017.72010

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7. NOTES

*通讯作者。