|
This article is cited in 2 scientific papers (total in 2 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.
Full text:
PDF file (1027 kB)
English version:
Theory of Probability and its Applications, 1980, 24:4, 675–692
Bibliographic databases:
Received: 20.04.1978
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
\Bibitem{Ven79}
\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
\mathnet{http://mi.mathnet.ru/tvp2890}
\mathscinet{http://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979KW11900001}
Linking options:
http://mi.mathnet.ru/eng/tvp2890 http://mi.mathnet.ru/eng/tvp/v24/i4/p673
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
Erratum
Cycle of papers
This publication is cited in the following articles:
-
A. A. Borovkov, “Boundary-value problems, the invariance principle, and large deviations”, Russian Math. Surveys, 38:4 (1983), 259–290
-
V. I. Piterbarg, V. R. Fatalov, “The Laplace method for probability measures in Banach spaces”, Russian Math. Surveys, 50:6 (1995), 1151–1239
|
Number of views: |
This page: | 260 | Full text: | 71 |
|