一个强极限定理的分析方法证明

A Strong Limit Theorem For Stochastically Dominated Random Variables

假设Ｘｎ（ｎ≥１）是在可数集Ｅｎ中取值的随机变量，｛｜Ｘ｜，ｎ≥１｝被一个随机变量｜Ｙ｜所控制。设｛ｂｎ，ｎ≥１｝（ｂｎ≥１）是满足以及的常数序列。本文将利用分析方法给出一个关于Ｘｎ（ｎ≥１）的强极限定理。

Let Xn(n≥1)be a random variable taking values in a countable set of real numbers En.{| Xn, n≥1|} is stochastically dominated by a random variable|Y|In this paper a strong Limit theorem for the Xn(n≥1)will be established through analytics.