On a Class of Limit Theorems for Independent Random Variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 2, pp. 224-228

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This paper deals with the rate of convergence to the normal law in $L_2$ of the distribution function and the frequency function of sums of nonidentically distributed independent random variables.
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     author = {V. V. Petrov},
     title = {On a {Class} of {Limit} {Theorems} for {Independent} {Random} {Variables}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     number = {2},
     year = {1959},
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V. V. Petrov. On a Class of Limit Theorems for Independent Random Variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 2, pp. 224-228. http://geodesic.mathdoc.fr/item/TVP_1959_4_2_a9/