论文标题
Kolmogoroff的大数字法律适用于成对不相关的随机变量
Kolmogoroff's Strong Law of Large Numbers holds for pairwise uncorrelated random variables
论文作者
论文摘要
从1981年起，使用N. etemadi的方法来实现大数量（SLLN）的强大定律，并使用S.Csörgő，K。Tandori和V. Totik对这种方法进行了详细说明，我给出了SLLN较弱的条件，在这些条件下，SLLN仍然对成对的不相关（以及“ quasi noce coasi nocealed noceal noceal of Realprocealed”）随机变量。我特别关注并非分布相同的随机变量。该方法还为经典SLL提供了简单的证明。
Using the approach of N. Etemadi for the Strong Law of Large Numbers (SLLN) from 1981 and the elaboration of this approach by S. Csörgő, K. Tandori and V. Totik from 1983, I give weak conditions under which the SLLN still holds for pairwise uncorrelated (and also "quasi uncorrelated") random variables. I am focusing in particular on random variables which are not identically distributed. The approach also delivers a simple proof for the classical SLLN.
