Banach空间中Φ－miking序列的完全收敛性  

The Complete Comvergence of Φ-mixing Sequence in Banach Space

作　　者：王定成[1] 陈良均[1] 

机构地区：[1]电子科技大学应用数学系

出　　处：《电子科技大学学报》1996年第2期216-219,共4页Journal of University of Electronic Science and Technology of China

摘　　要：研究了Ｂａｎａｃｈ空间中，Ｐ＞２时Φ－ｍｉｘｉｎｇ序列和的完全收敛性问题。通过用截断和高阶矩分析的方法，获得了在部分和二阶矩为ｎ２σ－η（η＞０）阶无穷小时．此Ｂａｎａｃｈ空间中Φ－ｍｉｘｉｎｇ序列的完全收敛性。Many authors have discussed the complete convergence of the sums of the stationary Φ-mixing sequnce of real random variables and have obtained good results, but the complete convergence of the stationary Φ-mixing sequence in Banach space has not been discussed yet. This paper discusses the sums of the stationary Φ-mixing sequence of randem elements in Banach space and obtains under the condition that the second moment of partiat sum is

关 键 词：巴拿赫空间 完全收敛性 随机变量 Φ-混合序列 

分 类 号：O211.5[理学—概率论与数理统计] O177.2[理学—数学]