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Teoriya Veroyatnostei i ee Primeneniya, 1979, Volume 24, Issue 4, Pages 673–691 (Mi tvp2890)  

This article is cited in 8 scientific papers (total in 8 papers)

Rough limit theorems on large deviations for Markov stochastic processes. III

A. D. Wentzell

Moscow
Abstract: This is the continuation of the papers [8], [9]. In [9] some rough limit theorems were deduced from the estimates of [8]. These theorems are analogous to the limit theorems for the sums of independent random variables concerning «very large» deviations of order n. In the present paper rough limit theorems for some other classes of families of Markov processes are derived from the estimates of [8] (slighthly modified); some of them are analogous to limit theorems concerning «not very large» deviations (those of order o(n) for the sums of independent random variables.
Received: 20.04.1978
English version:
Theory of Probability and its Applications, 1980, Volume 24, Issue 4, Pages 675–692
DOI: https://doi.org/10.1137/1124083
Bibliographic databases:
Language: Russian
Citation: A. D. Wentzell, “Rough limit theorems on large deviations for Markov stochastic processes. III”, Teor. Veroyatnost. i Primenen., 24:4 (1979), 673–691; Theory Probab. Appl., 24:4 (1980), 675–692
Citation in format AMSBIB
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\by A.~D.~Wentzell
\paper Rough limit theorems on large deviations for Markov stochastic processes.~III
\jour Teor. Veroyatnost. i Primenen.
\yr 1979
\vol 24
\issue 4
\pages 673--691
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=550526}
\zmath{https://zbmath.org/?q=an:0447.60024}
\transl
\jour Theory Probab. Appl.
\yr 1980
\vol 24
\issue 4
\pages 675--692
\crossref{https://doi.org/10.1137/1124083}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979KW11900001}
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  • https://www.mathnet.ru/eng/tvp2890
  • https://www.mathnet.ru/eng/tvp/v24/i4/p673
    Erratum Cycle of papers
    This publication is cited in the following 8 articles:
    1. Paul Dupuis, Dane Johnson, “Moderate deviations-based importance sampling for stochastic recursive equations”, Adv. Appl. Probab., 49:4 (2017), 981  crossref
    2. 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
    3. B�lint T�th, “Phase transition in an interacting Bose system. An application of the theory of Ventsel' and Freidlin”, J Stat Phys, 61:3-4 (1990), 749  crossref
    4. Ph. Blanchard, M. Sirugue, “Large deviations from classical paths. Hamiltonian flows as classical limits of quantum flows”, Commun.Math. Phys., 101:2 (1985), 173  crossref
    5. P. Blanchard, P. Combe, M. Sirugue, M. Sirugue-Collin, Lecture Notes in Mathematics, 1136, Quantum Probability and Applications II, 1985, 104  crossref
    6. A. A. Borovkov, “Boundary-value problems, the invariance principle, and large deviations”, Russian Math. Surveys, 38:4 (1983), 259–290  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. V. V. Godovančuk, A. P. Korostelev, “Conditions for the local convergence of recursive stochastic procedures”, Theory Probab. Appl., 28:1 (1984), 142–149  mathnet  mathnet  crossref  isi
    8. A. D. Wentzel', “Rough limit theorems on large deviations for Markov stochastic processes. IV”, Theory Probab. Appl., 27:2 (1983), 209–227  mathnet  mathnet  crossref  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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