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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 1, Pages 152–154 (Mi tvp2765)  

This article is cited in 51 scientific papers (total in 51 papers)

Short Communications

Exponential bounds for large deviations

V. V. Yurinskii

Moscow
Abstract: Exponential bounds are given for the probabilities of large deviations of sums of Banach-space-valued random variables satisfying (1). The theorem is preceded by a short summary of the previous work in the field.
Received: 19.07.1973
English version:
Theory of Probability and its Applications, 1974, Volume 19, Issue 1, Pages 154–155
DOI: https://doi.org/10.1137/1119012
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Yurinskii, “Exponential bounds for large deviations”, Teor. Veroyatnost. i Primenen., 19:1 (1974), 152–154; Theory Probab. Appl., 19:1 (1974), 154–155
Citation in format AMSBIB
\Bibitem{Yur74}
\by V.~V.~Yurinskii
\paper Exponential bounds for large deviations
\jour Teor. Veroyatnost. i Primenen.
\yr 1974
\vol 19
\issue 1
\pages 152--154
\mathnet{http://mi.mathnet.ru/tvp2765}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=334298}
\zmath{https://zbmath.org/?q=an:0323.60029}
\transl
\jour Theory Probab. Appl.
\yr 1974
\vol 19
\issue 1
\pages 154--155
\crossref{https://doi.org/10.1137/1119012}
Linking options:
  • https://www.mathnet.ru/eng/tvp2765
  • https://www.mathnet.ru/eng/tvp/v19/i1/p152
  • This publication is cited in the following 51 articles:
    1. Alexander Gresch, Martin Kliesch, “Guaranteed efficient energy estimation of quantum many-body Hamiltonians using ShadowGrouping”, Nat Commun, 16:1 (2025)  crossref
    2. Yu Miao, Deli Li, “A general logarithmic asymptotic behavior for partial sums of i.i.d. random variables”, Statistics & Probability Letters, 208 (2024), 110043  crossref
    3. Jérôme Dedecker, Paul Doukhan, Xiequan Fan, “Deviation inequalities for separately Lipschitz functionals of composition of random functions”, Journal of Mathematical Analysis and Applications, 479:2 (2019), 1549  crossref
    4. ROMAIN AIMINO, JÉRÔME ROUSSEAU, “Concentration inequalities for sequential dynamical systems of the unit interval”, Ergod. Th. Dynam. Sys., 36:8 (2016), 2384  crossref
    5. Pinelis I., “Best possible bounds of the von Bahr–Esseen type”, Ann. Funct. Anal., 6:4 (2015), 1–29  crossref  mathscinet  zmath  isi  elib
    6. Jérôme Dedecker, Xiequan Fan, “Deviation inequalities for separately Lipschitz functionals of iterated random functions”, Stochastic Processes and their Applications, 125:1 (2015), 60  crossref
    7. David Gross, “Recovering Low-Rank Matrices From Few Coefficients in Any Basis”, IEEE Trans. Inform. Theory, 57:3 (2011), 1548  crossref
    8. Jérôme Dedecker, Florence Merlevède, “The empirical distribution function for dependent variables: asymptotic and nonasymptotic results in ${\mathbb L}^p$”, ESAIM: PS, 11 (2007), 102  crossref
    9. S. V. Nagaev, “On probability and moment inequalities for supermartingales and martingales”, Theory Probab. Appl., 51:2 (2007), 367–377  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    10. Iosif Pinelis, “On normal domination of (super)martingales”, Electron. J. Probab., 11:none (2006)  crossref
    11. Stéphane Boucheron, Olivier Bousquet, Gábor Lugosi, “Theory of Classification: a Survey of Some Recent Advances”, ESAIM: PS, 9 (2005), 323  crossref
    12. Nagaev S.V., “On probability and moment inequalities for supermartingales and martingales”, Acta Applicandae Mathematicae, 79:1–2 (2003), 35–46  crossref  mathscinet  zmath  isi
    13. Gideon Schechtman, Handbook of the Geometry of Banach Spaces, 2, 2003, 1603  crossref
    14. M. Ledoux, J. Zinn, Handbook of the Geometry of Banach Spaces, 2, 2003, 1177  crossref
    15. Anna Kuczmaszewska, Dominik Szynal, “On the Strong Law of Large Numbers for Weighted Sums of Random Elements in Banach Space”, Stochastic Analysis and Applications, 21:6 (2003), 1305  crossref
    16. V. Koltchinskii, “Rademacher penalties and structural risk minimization”, IEEE Trans. Inform. Theory, 47:5 (2001), 1902  crossref
    17. Michael J. Klass, Krzysztof Nowicki, “An improvement of Hoffmann-Jørgensen's inequality”, Ann. Probab., 28:2 (2000)  crossref
    18. V. Koltchinskii, C.T. Abdallah, M. Ariola, P. Dorato, D. Panchenko, “Improved sample complexity estimates for statistical learning control of uncertain systems”, IEEE Trans. Automat. Contr., 45:12 (2000), 2383  crossref
    19. P. Massart, E. Rio, Asymptotic Methods in Probability and Statistics, 1998, 199  crossref
    20. Soon Hak Sung, “Complete convergence for weighted sums of arrays of rowwise independent b-valued random variables”, Stochastic Analysis and Applications, 15:2 (1997), 255  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Теория вероятностей и ее применения Theory of Probability and its Applications
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