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. Bibliography: 3 titles.
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V. V. Petrov, “On the strong law of large numbers for a sequence of nonnegative random variables,” Zap. Naucn. Semin. POMI, 384, 182–184 (2010).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 408, 2012, pp. 285–288.
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Petrov, V.V. On the Strong Law of Large Numbers for a Sequence of Dependent Random Variables. J Math Sci 199, 225–227 (2014). https://doi.org/10.1007/s10958-014-1849-4
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DOI: https://doi.org/10.1007/s10958-014-1849-4