Geodesic
The bounded law of the iterated logarithm
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 3, pp. 522-537

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This paper deals with a sequence of identically distributed random variables with $\psi$-mixing and values in a type 2 Banach space whose norm meets certain conditions. The law of the iterated logarithm for this sequence is proved under optimal moment conditions.
Keywords: bounded law of iterated logarithm, $\psi$-mixing, type 2 Banach spaceю. 
@article{TVP_2004_49_3_a5,
     author = {O. Sh. Sharipov},
     title = {The bounded law of the iterated logarithm},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {522--537},
     publisher = {mathdoc},
     volume = {49},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2004_49_3_a5/}
}
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O. Sh. Sharipov. The bounded law of the iterated logarithm. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 3, pp. 522-537. http://geodesic.mathdoc.fr/item/TVP_2004_49_3_a5/