Abstract
We consider variants of the law of large numbers with respect to the average power, average geometric and mean harmonic systems of random variables and establish various forms of convergence of the indicated means to the limiting values.
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Russian Text © The Author(s), 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, No. 8, pp. 79–87.
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Khatskevich, V.L. On the Law of Large Numbers for Nonlinear Mean Random Variables. Russ Math. 63, 70–77 (2019). https://doi.org/10.3103/S1066369X19080073
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DOI: https://doi.org/10.3103/S1066369X19080073