Geodesic
On the strong law of large numbers for blockwise independent and blockwise orthogonal random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 39 (1994) no. 4, pp. 804-812

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In this paper we obtain the conditions of the strong law of large numbers for systems of random variables which are blockwise independent and blockwise orthogonal. We show that these conditions are unimprovable for the classes of random variables considered.
Keywords: blockwise independent random variables, blockwise orthogonal random variables, strong law of large numbers. 
@article{TVP_1994_39_4_a10,
     author = {V. F. Gaposhkin},
     title = {On the strong law of large numbers for blockwise independent and blockwise orthogonal random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {804--812},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1994_39_4_a10/}
}
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V. F. Gaposhkin. On the strong law of large numbers for blockwise independent and blockwise orthogonal random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 39 (1994) no. 4, pp. 804-812. http://geodesic.mathdoc.fr/item/TVP_1994_39_4_a10/