Geodesic
Empirical distributions and dimension-invariant estimations in the problem of existence of typical distributions
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 3, Tome 260 (1999), pp. 258-262

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A connection between empirical measures and dimension-invariant estimations in the problem of existence of typical distributions for finite-dimensional spaces of random variables is established. 
@article{ZNSL_1999_260_a17,
     author = {A. V. Sudakov and V. N. Sudakov},
     title = {Empirical distributions and dimension-invariant estimations in the problem of existence of typical distributions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {258--262},
     publisher = {mathdoc},
     volume = {260},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a17/}
}
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A. V. Sudakov; V. N. Sudakov. Empirical distributions and dimension-invariant estimations in the problem of existence of typical distributions. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 3, Tome 260 (1999), pp. 258-262. http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a17/