A Strong Limit Theorem on Generalized Random Selection for m-valued Random Sequences  

关于m-值随机序列广义随机选择的一个强极限定理(英文)

作　　者：汪忠志 徐付霞 

机构地区：[1]DepartmentofMathematicsandPhysics,AnhuiUniversityofTechnology,Ma‘anshan243002,China

出　　处：《Chinese Quarterly Journal of Mathematics》2003年第4期343-348,共6页数学季刊（英文版）

基　　金：SupportedbytheEducationDepartmentofAnhuiProvince( 2 0 0 2kj0 5 4)

摘　　要：In this paper, a strong limit theorem on gambling strategy for binary Bernoulli sequence, (i.e.) irregularity theorem, is extended to random selection for dependent m-valued random variables, via using a new method-differentiability on net. Furthermore, by allowing the selection function to take value in finite interval [-M,M], the conception of random selection is generalized.

关 键 词：generalized random selection differentiability on net a.e.convergence 

分 类 号：O211.4[理学—概率论与数理统计] O211.6[理学—数学]