Sufficient conditions are found for the applicability of the generalized law of the iterated logarithm for sums of dependent random variables in the case where the sequence of normalizing constants is not necessarily nondecreasing.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 486, 2019, pp. 229–232.
Translated by S. Yu. Pilyugin.
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Petrov, V.V. On the Law of the Iterated Logarithm for Sums of Dependent Random Variables. J Math Sci 258, 894–896 (2021). https://doi.org/10.1007/s10958-021-05588-9
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DOI: https://doi.org/10.1007/s10958-021-05588-9