两种混合序列部分和乘积的渐近正态性  

Asymptotic Distribution of the Product of Two Mixing Sequences Sums

作　　者：宋家乐[1] 徐清舟[1] 

机构地区：[1]许昌学院国际教育学院,河南许昌461000

出　　处：《信阳师范学院学报（自然科学版）》2010年第4期506-508,共3页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：河南省自然科学基金项目(092300410149)

摘　　要：在不一定同分布的前提下,讨论φ-混合序列部分和乘积的渐近分布,进而推广了ρ-混合序列部分和乘积的结果.The asymptotic behavior of the product of the partial sums for a sequence of positive φ-mixing random variables has been studied. Under the assumption of nonidentical distribution, the asymptotic distribution of the product of φ-mixing sequence sums is discussed, which generalizes the asymptotic distribution of the product of ρ-mixing sequence sums.

关 键 词：Φ-混合序列 Ρ-混合序列 部分和乘积 渐近分布 

分 类 号：O211.4[理学—概率论与数理统计]