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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 501, Pages 8–23 (Mi znsl7074)  
On constants in the Kolmogorov–Rogozin and Kesten inequalities in a Hilbert space

S. M. Ananjevskii

Saint Petersburg State University
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Abstract: 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.
Key words and phrases: sums of independent random vectors, concentration functions, inequalities for concentration functions.
Received: 01.06.2021
Document Type: Article
UDC: 519.2
Language: Russian
Citation: S. M. Ananjevskii, “On constants in the Kolmogorov–Rogozin and Kesten inequalities in a Hilbert space”, Probability and statistics. Part 30, Zap. Nauchn. Sem. POMI, 501, POMI, St. Petersburg, 2021, 8–23
Citation in format AMSBIB
\Bibitem{Ana21}
\by S.~M.~Ananjevskii
\paper On constants in the Kolmogorov--Rogozin and Kesten inequalities in a Hilbert space
\inbook Probability and statistics. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 501
\pages 8--23
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7074}
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