Geodesic
On two-dimensional analogs of an inequality of K.\,G.~Esseen and their application to the Central Limit Theorem
Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 3, pp. 369-380

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A generalization of the well-known inequality of K. G. Esseen [1] for two-dimensional case as well as some estimates of the difference $P(A)-Q(A)$ in terms of characteristic functions are given. 
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     author = {S. M. Sadikova},
     title = {On two-dimensional analogs of an inequality of {K.\,G.~Esseen} and their application to the {Central} {Limit} {Theorem}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {369--380},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {1966},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_3_a0/}
}
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S. M. Sadikova. On two-dimensional analogs of an inequality of K.\,G.~Esseen and their application to the Central Limit Theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 3, pp. 369-380. http://geodesic.mathdoc.fr/item/TVP_1966_11_3_a0/