On strong law of large numbers and growth rate for a class of random variables-Reference-Cited by-同舟云学术

On strong law of large numbers and growth rate for a class of random variables

Published:2013-11-25 Issue:1 Volume:2013 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Shen Yan,Yang Jie,Hu Shuhe

Abstract

Abstract In this paper, we study the strong law of large numbers for a class of random variables satisfying the maximal moment inequality with exponent 2. Our results embrace the Kolmogorov strong law of large numbers and the Marcinkiewicz strong law of large numbers for this class of random variables. In addition, strong growth rate for weighted sums of this class of random variables is presented. MSC:60F15.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1029-242X-2013-563.pdf

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