paper

On a General Approach to the Strong Laws of Large Numbers

arXiv:1406.2883

Abstract

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

19 pages

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On a General Approach to the Strong Laws of Large Numbers · wovepaper