任意Cantor型随机函数序列随机和的一类局部极限定理  

A Class of Local Strong Limit Theorems for Random Sum of Cantor-like Random Function Sequences

作　　者：王康康[1] 叶慧[1] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003

出　　处：《江苏科技大学学报（自然科学版）》2008年第2期87-90,共4页Journal of Jiangsu University of Science and Technology:Natural Science Edition

摘　　要：研究了对任意Cantor型随机函数序列随机和普遍成立的一类局部极限定理。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了结论。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。A class of local strong limit theorem for arbitrary Cantor-like stochastic function sequence is investigated. In the proof,the conclusion is obtained by using the differentiation of measures on a net and with pure analytical method. As corollaries, the classical strong law of large number for stochastic sequence and the strong law of large number for arbitrary stochastic sequence are obtained.

关 键 词：Cantor型随机函数序列 随机和 网微分法 条件期望 任意随机序列 

分 类 号：O211.6[理学—概率论与数理统计]