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Teoriya Veroyatnostei i ee Primeneniya, 2010, Volume 55, Issue 3, Pages 590–598
DOI: https://doi.org/10.4213/tvp4245 (Mi tvp4245) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Short Communications

Limit theorems for random walk under the assumption of maxima large deviation

A. V. Shklyaev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (182 kB) Citations (9)
References:
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DOI: https://doi.org/10.4213/tvp4245
Received: 11.02.2010
English version:
Theory of Probability and its Applications, 2011, Volume 55, Issue 3, Pages 517–525
DOI: https://doi.org/10.1137/S0040585X97985030
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Shklyaev, “Limit theorems for random walk under the assumption of maxima large deviation”, Teor. Veroyatnost. i Primenen., 55:3 (2010), 590–598; Theory Probab. Appl., 55:3 (2011), 517–525
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp4245
  • https://doi.org/10.4213/tvp4245
  • https://www.mathnet.ru/eng/tvp/v55/i3/p590
    • This publication is cited in the following 9 articles:
    1. M. A. Anokhina, “Limit theorem for the Moment at Which a Random Walk Attains Its Maximum at a Fixed Level in the Region of Tempered Deviations”, Math. Notes, 115:4 (2024), 463–478  mathnet  crossref  crossref  mathscinet  isi
    2. G. A. Bakay, “Characterization of Large Deviation Probabilities for Regenerative Sequences”, Proc. Steklov Inst. Math., 316 (2022), 40–56  mathnet  crossref  crossref  mathscinet
    3. Xia Wang, Miaomiao Zhang, “Large Deviations for the Maximum of the Absolute Value of Partial Sums of Random Variable Sequences”, Mathematics, 10:5 (2022), 758  crossref
    4. E. L. Vetrova, “Asymptotic behavior of large deviation probabilities for a simple oscillating random walk”, J. Math. Sci., 262:4 (2022), 452–456  mathnet  crossref
    5. Shklyaev A.V., “Large Deviations For Solution of Random Recurrence Equation”, Markov Process. Relat. Fields, 22:1 (2016), 139–164  mathscinet  zmath  isi
    6. D. V. Dmitrushchenkov, “On large deviations of a branching process in random environments with immigration at moments of extinction”, Discrete Math. Appl., 25:6 (2015), 339–343  mathnet  crossref  crossref  mathscinet  isi  elib
    7. 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
    8. A. V. Shklyaev, “On large deviations of branching processes in a random environment with arbitrary initial number of particles: critical and supercritical cases”, Discrete Math. Appl., 22:5-6 (2012), 619–638  mathnet  crossref  crossref  mathscinet  elib
    9. A. V. Shklyaev, “On large deviations of the Shepp statistic”, Theory Probab. Appl., 55:4 (2011), 722–729  mathnet  crossref  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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