可交换随机变量序列重对数律的收敛速度

Convergence Rates for the Law of Interated Logarithm for Interchangeable Random Variables

中文关键词:  可交换随机变量序列  重对数律  收敛速度

英文关键词:interchangeable random variables  law of interated logarithm  convergence rate.

中文摘要:

      本文讨论了可交换随机变量序列{X_n:n≥1)重对数律的收敛速度,得到了可交换随机变量序列与独立序列类似的极限性质,同时给出了可交换序列重对数律收敛速度的一种描述.

英文摘要:

      In this paper, we discuss the convergence rates for the law of interated logarithm for interchangeable random variables {X_n:n≥ 1}, and obtain some similar limit properties of interchangeable random variables and independent random variables. Moreover, we give a description of convergence rates for the law of the interated logarithm.