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The strong law of large numbers for a stationary sequence

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Abstract

General results on the applicability of the strong law of large numbers to a sequence of dependent random variables, as formulated in terms of estimates for the moments of sums of such variables, are applied to give new conditions of the applicability of this law to (in a wide sense) a stationary sequence of random variables.

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References

  1. V. V. Petrov, “On the strong law of large numbers for nonnegative random variables,” Theory Probab. Its Appl. (Engl. Transl.) 53, 346–349 (2008).

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  2. V. V. Petrov, “On the strong law of large numbers for a sequence of nonnegative random variables,” J. Math. Sci. 176, 207–208 (2011).

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Authors and Affiliations

  1. St. Petersburg State University, Universitetskaya nab., 7–9, St. Petersburg, 199034, Russia

    V. V. Petrov

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  1. V. V. Petrov
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Correspondence to V. V. Petrov.

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Original Russian Text © V.V. Petrov, 2016, published in Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya, 2016, No. 4, pp. 642–644.

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Petrov, V.V. The strong law of large numbers for a stationary sequence. Vestnik St.Petersb. Univ.Math. 49, 371–372 (2016). https://doi.org/10.3103/S1063454116040129

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  • DOI: https://doi.org/10.3103/S1063454116040129

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