On the strong law of large numbers for a~sequence of dependent random variables
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 18, Tome 408 (2012), pp. 285-288

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New sufficient conditions are found for the applicability of the strong law of large numbers to a sequence of random variables without assumptions of independence or nonnegativity.
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     author = {V. V. Petrov},
     title = {On the strong law of large numbers for a~sequence of dependent random variables},
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V. V. Petrov. On the strong law of large numbers for a~sequence of dependent random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 18, Tome 408 (2012), pp. 285-288. http://geodesic.mathdoc.fr/item/ZNSL_2012_408_a16/