Geodesic
On distributions of random variables chosen at random
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part 13, Tome 216 (1994), pp. 153-160

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The existence of typical distributions for random variables chosen at random from a finite-dimensional random variables vector space of high dimension is established. Possible typical distributions are described, and conditions for the typical distribution to be standard Gaussian are given. Bibliography: 1 title. 
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     author = {V. N. Sudakov},
     title = {On distributions of random variables chosen at random},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {153--160},
     publisher = {mathdoc},
     volume = {216},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_216_a14/}
}
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V. N. Sudakov. On distributions of random variables chosen at random. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part 13, Tome 216 (1994), pp. 153-160. http://geodesic.mathdoc.fr/item/ZNSL_1994_216_a14/