On the law of the iterated logarithm for increments of sums of independent random variables
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 174-186
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We obtain the law of the iterated logarithm for increments of sums of independent random variables. Our results generalize the Kolmogorov theorem and the Hartman–Wintner theorem on the law of the iterated logarithm.
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A. N. Frolov. On the law of the iterated logarithm for increments of sums of independent random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 174-186. http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a14/

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