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Teoriya Veroyatnostei i ee Primeneniya, 2002, Volume 47, Issue 3, Pages 583–594
DOI: https://doi.org/10.4213/tvp3698 (Mi tvp3698) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

On multivariate compound distributions

V. Čekanavičius

Vilnius University
Full-text PDF (1090 kB) Citations (3)
DOI: https://doi.org/10.4213/tvp3698
Abstract: Closeness of convolutions of general compound distributions to the compound Poisson law is considered. Generalization of Le Cam's inequality is obtained. The Borovkov–Pfeifer approach of infinite convolutions is extended to the general case of multivariate compound approximations.
Keywords: compound Poisson distribution, total variation, the first uniform Kolmogorov theorem.
Received: 18.07.2000
English version:
Theory of Probability and its Applications, 2003, Volume 47, Issue 3, Pages 493–506
DOI: https://doi.org/10.1137/S0040585X97979925
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. Čekanavičius, “On multivariate compound distributions”, Teor. Veroyatnost. i Primenen., 47:3 (2002), 583–594; Theory Probab. Appl., 47:3 (2003), 493–506
Citation in format AMSBIB
\Bibitem{Cek02}
\by V.~{\v C}ekanavi{\v{c}}ius
\paper On multivariate compound distributions
\jour Teor. Veroyatnost. i Primenen.
\yr 2002
\vol 47
\issue 3
\pages 583--594
\mathnet{http://mi.mathnet.ru/tvp3698}
\crossref{https://doi.org/10.4213/tvp3698}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1975913}
\zmath{https://zbmath.org/?q=an:1037.60011}
\transl
\jour Theory Probab. Appl.
\yr 2003
\vol 47
\issue 3
\pages 493--506
\crossref{https://doi.org/10.1137/S0040585X97979925}
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  • https://doi.org/10.4213/tvp3698
  • https://www.mathnet.ru/eng/tvp/v47/i3/p583
    • This publication is cited in the following 3 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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