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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 341, Pages 147–150 (Mi znsl140)  
This article is cited in 7 scientific papers (total in 7 papers)

A generalization of the Chung-Erdös inequality for the probability of the union of events

V. V. Petrov

Saint-Petersburg State University
Full-text PDF (120 kB) Citations (7)
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Abstract: A generalization of the Chung–Erdös inequality for the probability of the union of arbitrary events is proved using some lower bounds for tail probabilities. We present a lower bound for the probability of appearance of at least $m$ events from the set of events $A_1,\dots,A_n$ where $1\le m\le n$.
Received: 27.03.2007
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 147, Issue 4, Pages 6932–6934
DOI: https://doi.org/10.1007/s10958-007-0517-3
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: V. V. Petrov, “A generalization of the Chung-Erdös inequality for the probability of the union of events”, Probability and statistics. Part 11, Zap. Nauchn. Sem. POMI, 341, POMI, St. Petersburg, 2007, 147–150; J. Math. Sci. (N. Y.), 147:4 (2007), 6932–6934
Citation in format AMSBIB
\Bibitem{Pet07}
\by V.~V.~Petrov
\paper A generalization of the Chung-Erd\"os inequality for the probability of the union of events
\inbook Probability and statistics. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 341
\pages 147--150
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl140}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2363591}
\zmath{https://zbmath.org/?q=an:1115.60020}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 147
\issue 4
\pages 6932--6934
\crossref{https://doi.org/10.1007/s10958-007-0517-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36048949977}
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  • https://www.mathnet.ru/eng/znsl/v341/p147
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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