arXiv:1406.2883 Abstract | arXiv Analytics

arXiv:1406.2883 [math.PR]Abstract References Reviews Resources

On a General Approach to the Strong Laws of Large Numbers

Published 2014-06-11Version 1

A general method to obtain strong laws of large numbers is studied. The method is based on abstract H\'ajek-R\'enyi type maximal inequalities. The rate of convergence in the law of large numbers is also considered. Some applications for weakly dependent sequences are given.

Comments: 19 pages

Categories: math.PR

Subjects: 60F15, 60G50

Keywords: large numbers, strong laws, general approach, abstract hajek-renyi type maximal inequalities, general method

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