随机级数sum(ξ_nu_n)from n=1 to ∞的收缩原理  

Contraction Principle of the Random Series sum(ξ_nu_n)from n=1 to ∞

作　　者：杨薇娜[1] 汪政红[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2012年第1期117-119,共3页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：中南民族大学中央高校专项基金资助(青年)项目(CZQ10006)

摘　　要：对Rademacher级数sum(±u_n)from n=1 to ∞的性质进行了研究,结果表明:Rademacher级数所具有的确界原理可推导出收缩原理,而更为一般的随机级数sum(ξ_nu_n)from n=1 to ∞也可以满足确界原理,因而将收缩原理推广到了更为一般的随机级数sum(ξ_nu_n)from n=1 to ∞,从而得到了更好的结果.The properties of the random series sum（±u_n）from n=1 to ∞ is studied,the supremum principle is one of the properties,which can deduce the contraction principle.We find that the random series sum（ξ_nu_n）from n=1 to ∞ also has the similar properties.In the end,the contraction principle can also be deduced by the supremum principle,which is the property of the random series sum（ξ_nu_n）from n=1 to ∞.

关 键 词：随机级数sum(ξ_nu_n)from n=1 to ∞ 收缩原理 A.S.收敛 

分 类 号：O211.5[理学—概率论与数理统计]