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pro vyhledávání: '"Absolute constant"'
Autor:
Moshksar, Kamyar
We revisit and slightly modify the proof of the Gaussian Hanson-Wright inequality where we keep track of the absolute constant in its formulation.
Externí odkaz:
http://arxiv.org/abs/2111.00557
Publikováno v:
Modern Stochastics: Theory and Applications 2018, Vol. 5, No. 3, 385-410
It is shown that the absolute constant in the Berry--Esseen inequality for i.i.d. Bernoulli random variables is strictly less than the Esseen constant, if $1\le n\le 500000$, where $n$ is a number of summands. This result is got both with the help of
Externí odkaz:
http://arxiv.org/abs/1810.09681
Publikováno v:
Modern Stochastics: Theory and Applications, Vol 5, Iss 3, Pp 385-410 (2018)
It is shown that the absolute constant in the Berry–Esseen inequality for i.i.d. Bernoulli random variables is strictly less than the Esseen constant, if 1≤n≤500000, where n is a number of summands. This result is got both with the help of a su
Externí odkaz:
https://doaj.org/article/935953d93c6145a297c771e4d94ad901
Autor:
Lehmer, D. H.
Publikováno v:
The American Mathematical Monthly, 1939 Mar 01. 46(3), 148-152.
Externí odkaz:
https://www.jstor.org/stable/2302463
Autor:
Kershner, Richard
Publikováno v:
American Journal of Mathematics, 1935 Oct 01. 57(4), 840-846.
Externí odkaz:
https://www.jstor.org/stable/2371020
Autor:
van Kampen, E. R., Wintner, Aurel
Publikováno v:
American Journal of Mathematics, 1937 Apr 01. 59(2), 270-274.
Externí odkaz:
https://www.jstor.org/stable/2371409
Autor:
Kershner, Richard
Publikováno v:
American Journal of Mathematics, 1938 Jul 01. 60(3), 549-554.
Externí odkaz:
https://www.jstor.org/stable/2371595
Akademický článek
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Autor:
Wintner, Aurel
Publikováno v:
American Journal of Mathematics, 1957 Jul 01. 79(3), 710-712.
Externí odkaz:
https://www.jstor.org/stable/2372571
Autor:
E. L. Maistrenko
Publikováno v:
Journal of Mathematical Sciences. 229:741-743
Some of known inequalities for the uniform distance between distributions of sequential sums of independent identically distributed random variables are considered. In the case where the distribution F has 0 as the q-quantile, an upper bound for the