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On a General Approach to the Strong Laws of Large Numbers

Probability 2014-06-12 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1406.2883,
  title  = {On a General Approach to the Strong Laws of Large Numbers},
  author = {István Fazekas},
  journal= {arXiv preprint arXiv:1406.2883},
  year   = {2014}
}

Comments

19 pages