论文标题

关于vonWeizsäcker定理的注释

A note on the von Weizsäcker theorem

论文作者

Tappe, Stefan

论文摘要

vonWeizsäcker定理指出,非负随机变量的每个序列都有一个子序列,该序列是cesàro收敛到非负随机变量,可能是无限的。本说明的目的是提供对限制有限的集合的描述。为此,由于Brannath和Schachermayer,我们使用分解结果。

The von Weizsäcker theorem states that every sequence of nonnegative random variables has a subsequence which is Cesàro convergent to a nonnegative random variable which might be infinite. The goal of this note is to provide a description of the set where the limit is finite. For this purpose, we use a decomposition result due to Brannath and Schachermayer.

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