ON ONE SUFFICIENT CONDITION for the VALIDITY of the STRONG LAW of LARGE NUMBERS for MARTINGALES

被引：0

作者：

Koval V.A. ^{[1
]}

机构：

[1] Kiev Polytechnic Institute, Kiev

来源：

Ukrainian Mathematical Journal | 2000年 / 52卷 / 10期

关键词：

Independent Random Variable; High Moment;

D O I：

10.1023/A:1010401101048

中图分类号：

学科分类号：

摘要：

We prove a theorem on the strong law of large numbers for martingales. The existence of higher moments is not assumed. From the theorem proved, we deduce numerous well-known results on the strong law of large numbers both for martingales and for sequences of sums of independent random variables. © 2000 Plenum Publishing Corporation.

引用

页码：1554 / 1560

页数：6

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