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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 1, Pages 74–86
DOI: https://doi.org/10.4213/tvp598
(Mi tvp598)
 

This article is cited in 7 scientific papers (total in 7 papers)

On compound Poisson approximations under moment restrictions

V. Čekanavičius

Vilnius University
Abstract: We consider the analogue of the first uniform Kolmogorov theorem in the scheme of series. Zaitsev's hypothesis on accuracy of approximation is partially confirmed. As approximations we use compound Poisson approximations and compound Poisson measures with a sign.
Keywords: compound Poisson distribution, variation, uniform distance.
Received: 12.05.1997
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 1, Pages 18–28
DOI: https://doi.org/10.1137/S0040585X97977343
Bibliographic databases:
Language: Russian
Citation: V. Čekanavičius, “On compound Poisson approximations under moment restrictions”, Teor. Veroyatnost. i Primenen., 44:1 (1999), 74–86; Theory Probab. Appl., 44:1 (2000), 18–28
Citation in format AMSBIB
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\paper On compound Poisson approximations under moment restrictions
\jour Teor. Veroyatnost. i Primenen.
\yr 1999
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\issue 1
\pages 74--86
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\zmath{https://zbmath.org/?q=an:0958.60010}
\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 1
\pages 18--28
\crossref{https://doi.org/10.1137/S0040585X97977343}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000087555000002}
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  • https://www.mathnet.ru/eng/tvp598
  • https://doi.org/10.4213/tvp598
  • https://www.mathnet.ru/eng/tvp/v44/i1/p74
  • This publication is cited in the following 7 articles:
    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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