On constants in the Kolmogorov--Rogozin and Kesten inequalities in a Hilbert space
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 30, Tome 501 (2021), pp. 8-23

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In this paper, we refine the values of the absolute constants in the Kolmogorov–Rogozin and Kesten inequalities for the concentration function of the sum of independent random vectors in a Hilbert space.
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     author = {S. M. Ananjevskii},
     title = {On constants in the {Kolmogorov--Rogozin} and {Kesten} inequalities in a {Hilbert} space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {8--23},
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     volume = {501},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_501_a1/}
}
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S. M. Ananjevskii. On constants in the Kolmogorov--Rogozin and Kesten inequalities in a Hilbert space. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 30, Tome 501 (2021), pp. 8-23. http://geodesic.mathdoc.fr/item/ZNSL_2021_501_a1/