强混合鞅差序列部分和乘积的几乎处处中心极限定理  

Almost Sure Central Limit Theorem of The Product of Strong Mixing Martingale Difference Sequences Sums

作　　者：钱和平[1] 宋家乐[1] 

机构地区：[1]许昌学院国际教育学院,河南许昌461000

出　　处：《中国科技信息》2012年第8期59-61,共3页China Science and Technology Information

基　　金：河南省自然科学基金项目(112300410026)

摘　　要：关于随机变量序列的几乎处处中心极限定理,已经被讨论的相当深入。但对于随机变量序列部分和乘积的几乎处处中心极限定理,只有独立同分布随机变量序列、同分布的φ-混合序列、同分布的强混合序列,这些随机变量序列部分和乘积的几乎处处中心极限定理被深入的研究过。本文主要讨论一下强混合鞅差序列部分和乘积的几乎处处中心极限定理。The almost sure central limit theorem of sequences of random variables has been studied very well.But for the almost sure central limit theorem of the product of partial sums,only some people have studied that under the assumption of i.i.d,-mixing sequence of identical distribution and strong mixing sequence of identical distribution.In this paper,we＇ll discuss the almost sure central limit theorem of the product of partial sums under the assumption of strong mixing martingale difference sequences sums.

关 键 词：鞅差序列 部分和乘积 几乎处处中心极限定理 

分 类 号：O211.4[理学—概率论与数理统计]