任意随机序列的变换及其a.s.收敛性(英文)  

RANDOM TRANSFORMS FOR ARBITRARY STOCHASTIC SEQUENCE AND a.s. CONVERGENCE

作　　者：汪忠志[1] 刘文[2] 

机构地区：[1]安徽工业大学数理学院,安徽马鞍山243002 [2]河北工业大学理学院,天津300130

出　　处：《数学杂志》2005年第5期513-520,共8页Journal of Mathematics

基　　金：SupportedbyAnhuiHighEducationalResearchGrant(2004Kj069)

摘　　要：本文利用截尾方法构造几乎处处收敛的鞅结合无穷乘积定理,研究随机变量序列变换的局部收敛性及强大数定理,作为推论得到了关于赌博系统的若干强极限定理。In this paper, we discuss the convergence of the random transform for arbitrary stochastic sequence. Furthermore, by means of martingale convergence theorem together with the theorem of infinite products, we prove some limit theorems concerning local convergence of such transforms and strong law of large numbers. At last, as a consequence, we obtain some strong law of large numbers on gambling system.

关 键 词：变换 鞅 局部收敛 A.S.收敛 赌博系统 

分 类 号：O211.4[理学—概率论与数理统计]