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Sibirskii Matematicheskii Zhurnal, 1996, Volume 37, Number 4, Pages 732–744 (Mi smj479)  

This article is cited in 12 scientific papers (total in 12 papers)

On the limit conditional distributions connected with large deviations

A. A. Borovkov
Received: 12.10.1995
English version:
Siberian Mathematical Journal, 1996, Volume 37, Issue 4, Pages 635–646
DOI: https://doi.org/10.1007/BF02104659
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: A. A. Borovkov, “On the limit conditional distributions connected with large deviations”, Sibirsk. Mat. Zh., 37:4 (1996), 732–744; Siberian Math. J., 37:4 (1996), 635–646
Citation in format AMSBIB
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\by A.~A.~Borovkov
\paper On the limit conditional distributions connected with large deviations
\jour Sibirsk. Mat. Zh.
\yr 1996
\vol 37
\issue 4
\pages 732--744
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\transl
\jour Siberian Math. J.
\yr 1996
\vol 37
\issue 4
\pages 635--646
\crossref{https://doi.org/10.1007/BF02104659}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VK47800002}
Linking options:
  • https://www.mathnet.ru/eng/smj479
  • https://www.mathnet.ru/eng/smj/v37/i4/p732
  • This publication is cited in the following 12 articles:
    1. Pan Yu. Borovkov K.A., “the Exact Asymptotics of the Large Deviation Probabilities in the Multivariate Boundary Crossing Problem”, Adv. Appl. Probab., 51:3 (2019), 835–864  crossref  mathscinet  zmath  isi  scopus
    2. M. V. Kozlov, “On large deviations of maximum of a Cramér random walk and the queueing process”, Theory Probab. Appl., 58:1 (2014), 76–106  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    3. Blanchet J.H., Leder K., Glynn P.W., “Efficient Simulation of Light-Tailed Sums: an Old-Folk Song Sung to a Faster New Tune”, Monte Carlo and Quasi-Monte Carlo Methods 2008, 2009, 227–248  crossref  mathscinet  zmath  isi
    4. A. A. Mogul'skii, “Large deviations of the first passage time for a random walk with semiexponentially distributed jumps”, Siberian Math. J., 47:6 (2006), 1084–1101  mathnet  crossref  mathscinet  zmath  isi
    5. A. A. Borovkov, “Asymptotic analysis for random walks with nonidentically distributed jumps having finite variance”, Siberian Math. J., 46:6 (2005), 1020–1038  mathnet  crossref  mathscinet  zmath  isi  elib
    6. A. A. Borovkov, “On the Asymptotic Behavior of Distributions of First-Passage Times, II”, Math. Notes, 75:3 (2004), 322–330  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. A. A. Borovkov, “Kolmogorov and boundary problems of probability theory”, Russian Math. Surveys, 59:1 (2004), 91–102  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    8. A. A. Borovkov, “Asymptotics of crossing probability of a boundary by the trajectory of a Markov chain. Exponentially decaying tails”, Theory Probab. Appl., 48:2 (2004), 226–242  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    9. A. A. Borovkov, A. A. Mogul'skii, “Large deviations for Markov chains in the positive quadrant”, Russian Math. Surveys, 56:5 (2001), 803–916  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. M. V. Kozlov, “On the Erdős–Rényi Partial Sums: Large Deviations, Conditional Behavior”, Theory Probab. Appl., 46:4 (2002), 636–651  mathnet  mathnet  crossref  crossref  isi
    11. A. A. Borovkov, D. A. Korshunov, “Large-deviation probabilities for one-dimensional Markov chains. Part 2: Prestationary distributions in the exponential case”, Theory Probab. Appl., 45:3 (2001), 379–405  mathnet  mathnet  crossref  crossref  isi
    12. Borovkov A.A., “Limiting theorems for times and place of first passing boundary of multidimensional random walk”, Doklady Akademii Nauk, 353:6 (1997), 711–713  mathnet  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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