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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 $\sqrt n$. 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 $o(\sqrt n)$ 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/tvp/v24/i4/p673
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    This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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