非同分布φ-混合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 partial sums ofnonidentical distribution φ-mixing sequence

作　　者：宋家乐[1,2] 王力[1] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001 [2]许昌学院国际教育学院,许昌461000

出　　处：《黑龙江大学自然科学学报》2011年第6期804-808,831,共6页Journal of Natural Science of Heilongjiang University

摘　　要：关于随机变量序列的几乎处处中心极限定理,已被讨论的相当深入。对于随机变量序列部分和乘积的几乎处处中心极限定理,只对独立同分布和相依但同分布的情形进行过讨论。撇开了独立性与同分布的假设,讨论不一定同分布φ-混合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 the 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 independent （dependent） identical distribution. Under the assumption of φ-mixing sequence of nonidentical distribution, the almost sure central limit theorem of the product of partial sums is presented.

关 键 词：Φ-混合序列 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]