Geodesic
Refinement of Lindeberg's theorem
Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 2, pp. 339-342

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An estimate is given for the remainder in the central limit theorem for the sums of independent non-identically distributed random variables. The main result (theorem 1) is a generalization of the known results by Liapounoff and Esseen. 
@article{TVP_1966_11_2_a9,
     author = {L. V. Osipov},
     title = {Refinement of {Lindeberg's} theorem},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {339--342},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {1966},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a9/}
}
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L. V. Osipov. Refinement of Lindeberg's theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 2, pp. 339-342. http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a9/