Geodesic
Ideal metrics in the problem of approximating the distributions of sums of independent random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 449-465 
V. M. Zolotarev. Ideal metrics in the problem of approximating the distributions of sums of independent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 449-465. http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a0/
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     author = {V. M. Zolotarev},
     title = {Ideal metrics in the problem of approximating the distributions of sums of independent random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {449--465},
     year = {1977},
     volume = {22},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a0/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In two previous publications [5] and [6], the author introduced special metrics in spaces of probability measures in Banach spaces $U$. These metrics, called ideal, were used in studying approximations of the distributions of sums of independent $U$-valued random variables. In this paper, a number of new general properties of ideal metrics are established and the possibility of using them in the above problems is demonstrated. In particular, a generalization and refinement of a recent result due to V. Paulauskas is given.