摘要
设{X}n∞n=1是一列任意相依随机变量序列,且{X}n∞n=1?X0。利用慢变化函数的性质以及矩方法,再借助于Borel-Cantelli引理与概率论极限理论中的纯分析方法,得到了任意相依但不同分布的随机变量序列普遍成立的强大数定律成立的充分条件,推广了已有的结果。
Let {X}n∞n = 1be a sequence of arbitrarily dependent random variables with {X}n∞n = 1? X0. By using the properties of slowly varying function and the method of moment, further by means of Borel-Cantelli lemma and the pure analysis method of probability limit theory, some sufficient conditions on strong law of large numbers for arbitrarily dependent but not identically distributed random variables are obtained, some classical results are generalized.
出处
《安徽工业大学学报(自然科学版)》
CAS
2015年第3期293-297,共5页
Journal of Anhui University of Technology(Natural Science)
基金
安徽省自然科学基金项目(1408085MA04)
安徽工业大学青年教师科研基金(QZ201314)
安徽工业大学研究生创新基金项目(2013093)
关键词
强大数定律
尾概率一致有界
慢变化函数
strong law of large numbers
uniformly bounded tail probability
slowly vary function