Geodesic
On the Estimation of the Remainder in the Central Limit Theorem
Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 2, pp. 322-329

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Some estimates are obtained for the deviation of the distribution function of a sum of independent random variables from the normal distribution function. These estimates contain many known results as special cases. They can be applied in the general case when no assumptions are made about the existence of moments of the random variables under consideration. 
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     author = {L. V. Osipov and V. V. Petrov},
     title = {On the {Estimation} of the {Remainder} in the {Central} {Limit} {Theorem}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     number = {2},
     year = {1967},
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L. V. Osipov; V. V. Petrov. On the Estimation of the Remainder in the Central Limit Theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 2, pp. 322-329. http://geodesic.mathdoc.fr/item/TVP_1967_12_2_a6/