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On the Rate of Convergence in the Strong Law of Large Numbers for Nonnegative Random Variables

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The rate of convergence in the strong law of large numbers for sequences of nonnegative random variables is studied without the independence assumption. Conditions for which an analog of the Baum–Katz theorem holds are obtained.

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Authors and Affiliations

  1. Saint-Petersburg State University of Aerospace Instrumentation, St.Petersburg, Russia

    V. M. Korchevsky

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  1. V. M. Korchevsky
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Correspondence to V. M. Korchevsky.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 454, 2016, pp. 183–194.

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Korchevsky, V.M. On the Rate of Convergence in the Strong Law of Large Numbers for Nonnegative Random Variables. J Math Sci 229, 719–726 (2018). https://doi.org/10.1007/s10958-018-3711-6

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  • DOI: https://doi.org/10.1007/s10958-018-3711-6

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