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Mat. Sb. (N.S.), 1983, Volume 121(163), Number 2(6), Pages 176–200 (Mi msb2176)  

This article is cited in 2 papers


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Weak convergence of a sequence of semimartingales to a process of diffusion type

R. Sh. Liptser, A. N. Shiryaev


Abstract: This article deals with a derivation of necessary and sufficient conditions for the weak convergence of semimartingales to a process of diffusion type.
Bibliography: 34 titles.

UDC: 519.2

MSC: Primary 60F05, 60G48, 60J60; Secondary 60B11

Received: 11.05.1982

Citation: R. Sh. Liptser, A. N. Shiryaev, “Weak convergence of a sequence of semimartingales to a process of diffusion type”, Mat. Sb. (N.S.), 121(163):2(6) (1983), 176–200

Citation in format AMSBIB:
\Bibitem{1}
\by R.~Sh.~Liptser, A.~N.~Shiryaev
\paper Weak convergence of a~sequence of semimartingales to a~process of diffusion type
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 121(163)
\issue 2(6)
\pages 176--200
\mathnet{http://mi.mathnet.ru/msb2176}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=703323}
\zmath{http://www.zentralblatt-math.org/zmath/search/?an=0521.60034}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 49
\issue 1
\pages 171--195
\crossref{http://dx.doi.org/10.1070/SM1984v049n01ABEH002703}


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  • http://mi.mathnet.ru/eng/msb2176
  • http://mi.mathnet.ru/eng/msb/v163/i2/p176

    Full text (in Russian): PDF file (1011 kB)
    References (in Russian): PDF file   HTML файл

    English version:
    Mathematics of the USSR-Sbornik, 1984, 49:1, 171–195

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. “Summary of Reports Presented at Sessions of the Seminar in Probability Theory and Mathematical Statistics at the Shevchenko State University, Kiev”, Theory Probab Appl, 30:3 (1986), 644  crossref
    2. E. V. Krichagina, R. Sh. Liptser, A. A. Pukhal’skii, “Diffusion Approximation of Systems with Arrival Depending on Queue, and with Arbitrary Servicing”, Theory Probab Appl, 33:1 (1988), 114  crossref  mathscinet  zmath  isi
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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