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A general approach to the strong laws of large numbers

I. Fazekas^a, O. Klesov<sup>b

a</sup> Institute of Mathematics and Informatics, Kossuth Lajos University, Hungary
^b National Technical University of Ukraine, Department of Mathematics, Ukraine

Abstract: A general method for obtaining the strong law of large numbers for sequences of random variables is considered. Some applications for dependent summands are given.

Keywords: strong law of large numbers, Hájek–Rényi maximal inequality, $\rho$-mixing, logarithmically weighted sums.

Received: 18.03.1998
Revised: 11.03.1999

Language: English

DOI: 10.4213/tvp486

 English version: Theory of Probability and its Applications, 2001, 45:3, 436–449

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