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Teoriya Veroyatnostei i ee Primeneniya, 2004, Volume 49, Issue 4, Pages 813–816
DOI: https://doi.org/10.4213/tvp199 (Mi tvp199) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

On the necessary conditions of Poisson convergence for martingales

A. G. Sholomitskii

Central Economics and Mathematics Institute, RAS
Full-text PDF (451 kB) Citations (1)
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DOI: https://doi.org/10.4213/tvp199
Abstract: This paper proves a theorem on necessary conditions for the Poisson convergence of sums of martingale differences. The theorem conditions generalize the classic conditions for the convergence of sums of independent summands.
Keywords: martingale, Poisson law, weak convergenceю.
Received: 14.11.2001
English version:
Theory of Probability and its Applications, 2005, Volume 49, Issue 4, Pages 735–737
DOI: https://doi.org/10.1137/S0040585X9798141X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Sholomitskii, “On the necessary conditions of Poisson convergence for martingales”, Teor. Veroyatnost. i Primenen., 49:4 (2004), 813–816; Theory Probab. Appl., 49:4 (2005), 735–737
Citation in format AMSBIB
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\by A.~G.~Sholomitskii
\paper On the necessary conditions of Poisson convergence
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\pages 813--816
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\zmath{https://zbmath.org/?q=an:1094.60032}
\transl
\jour Theory Probab. Appl.
\yr 2005
\vol 49
\issue 4
\pages 735--737
\crossref{https://doi.org/10.1137/S0040585X9798141X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000234407500014}
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  • https://www.mathnet.ru/eng/tvp199
  • https://doi.org/10.4213/tvp199
  • https://www.mathnet.ru/eng/tvp/v49/i4/p813
    • This publication is cited in the following 1 articles:
    1. Cheng Ts.-L., Yang Sh.-Y., “Stable Poisson Convergence for Integer-Valued Random Variables”, Taiwan. J. Math., 17:6 (2013), 1869–1885  crossref  mathscinet  zmath  isi  scopus
    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:346
    Full-text PDF :176
    References:72
     
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