摘要
已有文献中给出了随机变量组列无穷小的定义和判定条件,在此基础上进行了改进,得到了随机变量组列无穷小的4个判定条件,并利用概率的性质和Markov不等式进行了证明.
The definition and judging condition was given in some references, we obtained four sufficient condi- tions of arrays of random variables of infinitesimal based on two lemmas in some references, and we improved them through the property of probability and Markov inequality.
出处
《伊犁师范学院学报(自然科学版)》
2015年第4期21-22,共2页
Journal of Yili Normal University:Natural Science Edition
基金
安徽省自然科学基金青年项目<N-弱鞅和若干相依序列的概率极限定理及其在风险理论中的应用>(1208085QA03)
关键词
随机变量组列
无穷小
几乎必然收敛
依概率收敛
Arrays of random variables
Infinitesimal
Almost sure convergence
Convergence in probability