Geodesic
Some remarks on the approximation of distributions of sums of independent summands
Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part VI, Tome 136 (1984), pp. 48-57

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The inequalities for the accuracy of approximating the distributions of sums of independent random variables, concentrated at the intervals of length $\tau$ to within a small probability $p$, by different approximating distributions in the Levy's, Levy–Prohorov's distances and in more general characteristics. These inequalities depend only on $p$ and $\tau$. 
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     author = {A. Yu. Zaitsev},
     title = {Some remarks on the approximation of distributions of sums of independent summands},
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     volume = {136},
     year = {1984},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_136_a3/}
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A. Yu. Zaitsev. Some remarks on the approximation of distributions of sums of independent summands. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part VI, Tome 136 (1984), pp. 48-57. http://geodesic.mathdoc.fr/item/ZNSL_1984_136_a3/