Geodesic
Asymptotics in the Law of the Iterated Logarithm
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 4, pp. 823-826

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In this paper the precise asymptotic in the law of the iterated logarithm is considered. The result of A. Gut and A. Spataru [Ann. Probab., 28 (2000), pp. 1870–1883] is generalized for the case of the variables not of the same distribution.
Keywords: law of iterated logarithm, Fuk–Nagaev type inequality. 
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M. B. Cwiklínska. Asymptotics in the Law of the Iterated Logarithm. Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 4, pp. 823-826. http://geodesic.mathdoc.fr/item/TVP_2008_53_4_a12/