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Matematicheskii Sbornik. Novaya Seriya, 1957, Volume 42(84), Number 1, Pages 11–44 (Mi sm5043)  

This article is cited in 21 scientific papers (total in 21 papers)

On the probability of large deviations of random magnitudes

I. N. Sanov
Received: 24.02.1956
Bibliographic databases:
Language: Russian
Citation: I. N. Sanov, “On the probability of large deviations of random magnitudes”, Sb. Math., 84:1 (1957)
Citation in format AMSBIB
\Bibitem{San57}
\by I.~N.~Sanov
\paper On the probability of large deviations of random magnitudes
\jour Sb. Math.
\yr 1957
\vol 84
\issue 1
\mathnet{http://mi.mathnet.ru/eng/sm5043}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=88087}
\zmath{https://zbmath.org/?q=an:0078.31202}
Linking options:
  • https://www.mathnet.ru/eng/sm5043
  • https://www.mathnet.ru/eng/sm/v84/i1/p11
  • This publication is cited in the following 21 articles:
    1. A. S. Ivanova, S. S. Omelchenko, E. V. Kotlyarova, V. V. Matyukhin, “Kalibrovka parametrov modeli rascheta matritsy korrespondentsii dlya g. Moskvy”, Kompyuternye issledovaniya i modelirovanie, 12:5 (2020), 961–978  mathnet  crossref
    2. S. L. Fong, V. Y. F. Tan, “Strong converse theorems for multimessage networks with tight cut-set bound”, Problems Inform. Transmission, 55:1 (2019), 67–100  mathnet  crossref  crossref  isi
    3. D. R. Baymurzina, A. V. Gasnikov, E. V. Gasnikova, P. E. Dvurechenskii, E. I. Ershov, M. B. Kubentayeva, A. A. Lagunovskaya, “Universal method of searching for equilibria and stochastic equilibria in transportation networks”, Comput. Math. Math. Phys., 59:1 (2019), 19–33  mathnet  crossref  crossref  isi  elib
    4. A. Gasnikov, P. Dvurechensky, M. Zhukovskii, S. Kim, S. Plaunov, D. Smirnov, F. Noskov, “About the power law of the PageRank vector distribution. Part 2. Backley–Osthus model, power law verification for this model and setup of real search engines”, Num. Anal. Appl., 11:1 (2018), 16–32  mathnet  crossref  crossref  isi  elib
    5. V. V. Vedenyapin, S. Z. Adzhiev, V. V. Kazantseva, “Entropiya po Boltsmanu i Puankare, ekstremali Boltsmana i metod Gamiltona–Yakobi v negamiltonovoi situatsii”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 64, no. 1, Rossiiskii universitet druzhby narodov, M., 2018, 37–59  mathnet  crossref
    6. A. Gasnikov, E. Gasnikova, P. Dvurechensky, A. Mohammed, E. Chernousova, “About the power law of the PageRank vector distribution. Part 1. Numerical methods for finding the PageRank vector”, Num. Anal. Appl., 10:4 (2017), 299–312  mathnet  crossref  crossref  isi  elib
    7. A. V. Gasnikov, E. V. Gasnikova, M. A. Mendel, K. V. Chepurchenko, “Evolyutsionnye vyvody entropiinoi modeli rascheta matritsy korrespondentsii”, Matem. modelirovanie, 28:4 (2016), 111–124  mathnet  elib
    8. A. V. Gasnikov, D. Yu. Dmitriev, “On efficient randomized algorithms for finding the PageRank vector”, Comput. Math. Math. Phys., 55:3 (2015), 349–365  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    9. V. V. Breer, A. D. Rogatkin, “Probabilistic model of threshold behavior in multiagent systems”, Autom. Remote Control, 76:8 (2015), 1369–1386  mathnet  crossref  isi  elib  elib
    10. V. I. Bakhtin, “Spektralnyi potentsial, deistvie Kulbaka i printsip bolshikh uklonenii dlya konechno-additivnykh mer”, Tr. In-ta matem., 23:2 (2015), 11–23  mathnet
    11. V. V. Vedenyapin, S. Z. Adzhiev, “Entropy in the sense of Boltzmann and Poincaré”, Russian Math. Surveys, 69:6 (2014), 995–1029  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    12. V. I. Bakhtin, “Spectral potential, Kullback action, and large deviations of empirical measures on measurable spaces”, Theory Probab. Appl., 59:4 (2015), 535–544  mathnet  crossref  crossref  mathscinet  isi  elib
    13. A. A. Borovkov, A. A. Mogulskii, “Large deviation principles for random walk trajectories. III”, Theory Probab. Appl., 58:1 (2014), 25–37  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    14. M. S. Ermakov, “Large Deviation Principle for moderate deviation probabilities of empirical bootstrap measure”, J. Math. Sci. (N. Y.), 204:1 (2015), 90–115  mathnet  crossref  mathscinet
    15. Theory Probab. Appl., 57:2 (2013), 347–357  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    16. S. Z. Adzhiev, V. V. Vedenyapin, “Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model”, Comput. Math. Math. Phys., 51:11 (2011), 1942–1952  mathnet  crossref  mathscinet  isi
    17. A. A. Borovkov, A. A. Mogul'skiǐ, “On large deviation principles in metric spaces”, Siberian Math. J., 51:6 (2010), 989–1003  mathnet  crossref  mathscinet  isi  elib
    18. A. A. Borovkov, “Large Sample Change-Point Estimation when Distributions Are Unknown”, Theory Probab. Appl., 53:3 (2009), 402–418  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    19. S. V. Nagaev, V. I. Chebotarev, “On the Accuracy of Gaussian Approximation in Hilbert Space”, Siberian Adv. Math., 15:1 (2005), 11–73  mathnet  mathscinet  zmath  elib
    20. V. I. Piterbarg, V. R. Fatalov, “The Laplace method for probability measures in Banach spaces”, Russian Math. Surveys, 50:6 (1995), 1151–1239  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1947–1963 Sbornik: Mathematics
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