强混合序列部分和之和乘积的几乎处处中心极限定理

J4 ›› 2010, Vol. 45 ›› Issue (8): 104-108.

强混合序列部分和之和乘积的几乎处处中心极限定理

付艳莉,吴群英

桂林理工大学理学院, 广西桂林 541004

收稿日期:2009-11-25 出版日期:2010-08-16 发布日期:2010-09-16
作者简介:付艳莉(1981-),女,硕士研究生,研究方向为概率极限理论，统计学. Email:fuyanligirl@yahoo.com.cn
基金资助:
国家自然科学基金资助项目(10661006);广西“新世纪十百千人才工程”专项资金资助项目(2005214)；广西自然科学基金资助项目(桂科自0832262)

Almost sure central limit theory for the products of sums of partial sums under strong mixing sequences

FU Yan-li, WU Qun-ying

College of Science, Guilin University of Technology, Guilin 541004, Guangxi, China

Received:2009-11-25 Online:2010-08-16 Published:2010-09-16

摘要/Abstract

摘要：

在前人给出独立和相依序列部分和的几乎处处中心极限定理的基础上,利用乘积转化和式的方法,给出强混合正随机变量序列部分和之和乘积的几乎处处中心极限定理。

关键词: 强混合序列;部分和之和;几乎处处中心极限定理

Abstract:

On the base of other predecessor’s results about the almost sure limit theorem for partial sums of independent or dependent sequences, and using the methord of making product conversion into sun type, the almost sure limit theorem was obtained for the products of sums of the partial sums of strongly mixing positive random variables.

Key words: strong mixing sequences; sums of partial sums; almost sure central limit theorem

付艳莉,吴群英. 强混合序列部分和之和乘积的几乎处处中心极限定理[J]. J4, 2010, 45(8): 104-108.

FU Yan-li, WU Qun-ying. Almost sure central limit theory for the products of sums of partial sums under strong mixing sequences[J]. J4, 2010, 45(8): 104-108.

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