Geodesic
On a method of proving of theorems on the law of the iterated logarithm
Teoriâ veroâtnostej i ee primeneniâ, Tome 29 (1984) no. 1, pp. 125-132 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $\{X_n\}$ be a sequence of independent Banach-spacevalued random variables. The connection between the law of the iterated logarithm for $\{X_n\}$ and the law of large numbers for $\{\|X_n\|^2\}$ is investigated. 
@article{TVP_1984_29_1_a13,
     author = {V. A. Egorov},
     title = {On a method of proving of theorems on the law of the iterated logarithm},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {125--132},
     year = {1984},
     volume = {29},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a13/}
}
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V. A. Egorov. On a method of proving of theorems on the law of the iterated logarithm. Teoriâ veroâtnostej i ee primeneniâ, Tome 29 (1984) no. 1, pp. 125-132. http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a13/