|
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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl7074 https://www.mathnet.ru/eng/znsl/v501/p8
|
Statistics & downloads: |
Abstract page: | 79 | Full-text PDF : | 37 | References: | 22 |
|