Geodesic
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 
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/
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     title = {On constants in the {Kolmogorov{\textendash}Rogozin} and {Kesten} inequalities in a {Hilbert} space},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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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