Geodesic
Bounds connected with the stability theorems of H.~Cramer
Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 281-288

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The deviation of the components of an approximate normal distribution from a normal type distribution is estimated in the metric of spaces $L_p$ ($1\leqslant p\leqslant\infty$) and in the metric of Levy. 
@article{MZM_1970_7_3_a2,
     author = {S. G. Maloshevskii},
     title = {Bounds connected with the stability theorems of {H.~Cramer}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {281--288},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a2/}
}
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S. G. Maloshevskii. Bounds connected with the stability theorems of H.~Cramer. Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 281-288. http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a2/