离散随机变量序列的级数收敛性

On the convergence of the series for the sequence of discrete random variables

设Xn(n≥ 1)是取值于En(n≥ 1)的离散型随机变量 ,利用纯分析方法给出了关于序列 {Xn,n≥ 1}的 2个级数定理。

Let X n(n ≥1) be a random variable taking values in a countable set of real numbers E n(n ≥1). In this paper two series theorems for the sequence of { X n, n ≥1} will be established.