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Matematicheskie Trudy, 2018, Volume 21, Number 1, Pages 193–200
DOI: https://doi.org/10.17377/mattrudy.2018.21.108 (Mi mt336) 		 
Inequalities for functions of the sum of the indicators of events

A. S. Tarasenkoab

a Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
b Novosibirsk State University, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.17377/mattrudy.2018.21.108
Abstract: We obtain moment inequalities for the sum of the indicators of events and an upper estimate for a convex function of such a sum. Our results generalize inequalities that were obtained earlier for moment characteristics of the sojourn time of a random walk on a half-axis.
Key words: moment inequalities, sum of indicators.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00049_а
Received: 18.12.2017
English version:
Siberian Advances in Mathematics, 2018, Volume 28, Issue 4, Pages 303–308
DOI: https://doi.org/10.3103/S105513441804003X
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: A. S. Tarasenko, “Inequalities for functions of the sum of the indicators of events”, Mat. Tr., 21:1 (2018), 193–200; Siberian Adv. Math., 28:4 (2018), 303–308
Citation in format AMSBIB
\Bibitem{Tar18}
\by A.~S.~Tarasenko
\paper Inequalities for functions of the sum of the indicators of events
\jour Mat. Tr.
\yr 2018
\vol 21
\issue 1
\pages 193--200
\mathnet{http://mi.mathnet.ru/mt336}
\crossref{https://doi.org/10.17377/mattrudy.2018.21.108}
\elib{https://elibrary.ru/item.asp?id=34878270}
\transl
\jour Siberian Adv. Math.
\yr 2018
\vol 28
\issue 4
\pages 303--308
\crossref{https://doi.org/10.3103/S105513441804003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85057481081}
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    		Математические труды Siberian Advances in Mathematics
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