Cantor型随机变量序列关于赌博系统随机和的一类强极限定理  

A class of strong limit theorems for random sum of Cantor-like random sequences on gambling system

作　　者：王康康[1] 宗德才[2] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003 [2]常熟理工学院计算机科学与工程学院,江苏常熟215500

出　　处：《江苏科技大学学报（自然科学版）》2010年第3期305-308,共4页Journal of Jiangsu University of Science and Technology:Natural Science Edition

基　　金：江苏高校自然科学基金资助项目(09KJD110002)

摘　　要：研究了对随机选择系统中Cantor型随机序列随机和普遍成立的一类强大数定理.证明中利用条件期望的概念,采用测度的网微分法,并运用纯分析运算得出结论.作为推论,得到随机变量序列已有的经典强大数定律以及对任意随机变量序列普遍成立的强大数定律.In this paper,a class of strong laws of large number for arbitrary Cantor-like stochastic sequence was investigated.In the proof,the conclusion was obtained by using differentiation of measures on a net and pure analytical methods.As corollaries,the classical strong laws of large number for stochastic sequence and the strong laws of large number for arbitrary stochastic sequence were obtained.

关 键 词：Cantor型随机变量序列 网微分法 条件期望 赌博系统 任意随机序列 

分 类 号：O211.6[理学—概率论与数理统计]