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On a General Approach to the Strong Laws of Large Numbers*

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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.

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Authors and Affiliations

  1. Faculty of Informatics, University of Debrecen, Debrecen, Hungary

    I. Fazekas

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  1. I. Fazekas
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Correspondence to I. Fazekas.

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* Partially supported by the Hungarian Foundation of Scientific Researches under Grant No. OTKA T047067/2004 and Grant No. OTKA T048544/2005.

Proceedings of the XXVI International Seminar on Stability Problems for Stochastic Models, Sovata-Bai, Romania, August 27 – September 2, 2006.

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Fazekas, I. On a General Approach to the Strong Laws of Large Numbers*. J Math Sci 200, 411–423 (2014). https://doi.org/10.1007/s10958-014-1923-y

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