The Doob inequality and strong law of large numbers for multidimensional arrays in general Banach space

Title:

The Doob inequality and strong law of large numbers for multidimensional arrays in general Banach space

Creator:

Van Huan, Nguyen and Van Quang, Nguyen

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a398ac00-c147-444d-ab71-e9760a5cf431
uuid:a398ac00-c147-444d-ab71-e9760a5cf431

Subject:

the Doob inequality, strong law of large numbers, martingale difference array, and Banach space

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[254]-267

Source:

Kybernetika | 2012 Volume:48 | Number:2

Harvested from:

CDK

Metadata only:

false