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This article is cited in 2 papers
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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Linking options:
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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This publication is cited in the following articles:
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“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
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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
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