Geodesic
Asymptotically proper constants in Liapunov's theorem
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 1, Tome 228 (1996), pp. 349-355

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A new asymptotic representation for distribution function of the normalized sums of not necessary identically distributed random variables in the Liapunopv CLT is established. Asymptoticaly proper constants in the Berry–Esseen inequality are obtained. Bibl. 13 titles. 
@article{ZNSL_1996_228_a27,
     author = {G. P. Chistyakov},
     title = {Asymptotically proper constants in {Liapunov's} theorem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {349--355},
     publisher = {mathdoc},
     volume = {228},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a27/}
}
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G. P. Chistyakov. Asymptotically proper constants in Liapunov's theorem. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 1, Tome 228 (1996), pp. 349-355. http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a27/