New conditions are found for the absolute convergence of series of random variables almost surely. The results contain no independence assumptions. A generalization in analytical terms is obtained. Bibliography: 5 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 431, 2014, pp. 140–144.
Translated by I. Ponomarenko.
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Petrov, V.V. On Absolute Convergence of Series of Random Variables Almost Surely. J Math Sci 214, 513–516 (2016). https://doi.org/10.1007/s10958-016-2794-1
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DOI: https://doi.org/10.1007/s10958-016-2794-1