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This article is cited in 64 scientific papers (total in 64 papers)
A general approach to the strong laws of large numbers
I. Fazekasa, O. Klesovb a 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
Citation:
I. Fazekas, O. Klesov, “A general approach to the strong laws of large numbers”, Teor. Veroyatnost. i Primenen., 45:3 (2000), 568–583; Theory Probab. Appl., 45:3 (2001), 436–449
Linking options:
https://www.mathnet.ru/eng/tvp486https://doi.org/10.4213/tvp486 https://www.mathnet.ru/eng/tvp/v45/i3/p568
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