Geodesic
On the Law of the Iterated Logarithm for Operator Normed Sums of Random Vectors
Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 2, pp. 381-383

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This paper proves the law of the iterated logarithm for sums of random vectors in $\mathbf{R}^k$ normed by linear operators of general type. We suppose that the sequence of the random vectors satisfies Strassen's invariance principle.
Keywords: law of the iterated logarithm, almost sure invariance principle, operator normed sums of random vectors. 
@article{TVP_2001_46_2_a12,
     author = {V. A. Koval'},
     title = {On the {Law} of the {Iterated} {Logarithm} for {Operator} {Normed} {Sums} of {Random} {Vectors}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {381--383},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2001_46_2_a12/}
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V. A. Koval'. On the Law of the Iterated Logarithm for Operator Normed Sums of Random Vectors. Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 2, pp. 381-383. http://geodesic.mathdoc.fr/item/TVP_2001_46_2_a12/