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Teoriya Veroyatnostei i ee Primeneniya, 1981, Volume 26, Issue 3, Pages 591–597 (Mi tvp2606)  
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

A local limit theorem on the convergence to a diffusion

A. N. Konovalov

Moscow
Full-text PDF (418 kB) Citations (1)
Abstract: We give sufficient conditions for the validity of the local limit theorem for the convergence of a sequence of homogeneous Markov chains to a diffusion process.
Received: 29.05.1979
English version:
Theory of Probability and its Applications, 1982, Volume 26, Issue 3, Pages 581–587
DOI: https://doi.org/10.1137/1126063
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Konovalov, “A local limit theorem on the convergence to a diffusion”, Teor. Veroyatnost. i Primenen., 26:3 (1981), 591–597; Theory Probab. Appl., 26:3 (1982), 581–587
Citation in format AMSBIB
\Bibitem{Kon81}
\by A.~N.~Konovalov
\paper A~local limit theorem on the convergence to a~diffusion
\jour Teor. Veroyatnost. i Primenen.
\yr 1981
\vol 26
\issue 3
\pages 591--597
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=627865}
\zmath{https://zbmath.org/?q=an:0487.60032|0468.60030}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 26
\issue 3
\pages 581--587
\crossref{https://doi.org/10.1137/1126063}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981PA76400012}
Linking options:
  • https://www.mathnet.ru/eng/tvp2606
  • https://www.mathnet.ru/eng/tvp/v26/i3/p591
    • This publication is cited in the following 1 articles:
    1. Valentin Konakov, Enno Mammen, “Local approximations of Markov random walks by diffusions”, Stochastic Processes and their Applications, 96:1 (2001), 73  crossref
    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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    Abstract page:250
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