THE DOOB INEQUALITY AND STRONG LAW OF LARGE NUMBERS FOR MULTIDIMENSIONAL ARRAYS IN GENERAL BANACH SPACES

被引：0

作者：

Nguyen Van Huan ^{[1
]}

Nguyen Van Quang ^{[2
]}

机构：

[1] Saigon Univ, Dept Math & Applicat, Ho Chi Minh City, Vietnam

[2] Vinh Univ, Dept Math, Nghe An, Vietnam

来源：

KYBERNETIKA | 2012年 / 48卷 / 02期

关键词：

the Doob inequality; strong law of large numbers; martingale difference array; Banach space; DIMENSIONAL ARRAYS;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

We establish the Doob inequality for martingale difference arrays and provide a sufficient condition so that the strong law of large numbers would hold for an arbitrary array of random elements without imposing any geometric condition on the Banach space. Some corollaries are derived from the main results, they are more general than some well-known ones.

引用

页码：254 / 267

页数：14

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