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Teoriya Veroyatnostei i ee Primeneniya, 2003, Volume 48, Issue 3, Pages 487–502
DOI: https://doi.org/10.4213/tvp267 (Mi tvp267) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Tauberian theorems and asymptotics of infinitely divisible distributions in a cone

A. L. Yakymiv

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (1695 kB) Citations (5)
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DOI: https://doi.org/10.4213/tvp267
Abstract: This paper proves three multidimensional Tauberian theorems, which we use to prove the asymptotics at infinity of infinitely divisible distributions with support in a closed convex acute solid and homogeneous cone in $R^n$.
Keywords: regularly varying functions along a family of operators, completely admissible functions for a cone, infinitely divisible distributions, spectral Lévy measure.
Received: 05.12.2002
English version:
Theory of Probability and its Applications, 2004, Volume 48, Issue 3, Pages 493–505
DOI: https://doi.org/10.1137/S0040585X97980531
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. L. Yakymiv, “Tauberian theorems and asymptotics of infinitely divisible distributions in a cone”, Teor. Veroyatnost. i Primenen., 48:3 (2003), 487–502; Theory Probab. Appl., 48:3 (2004), 493–505
Citation in format AMSBIB
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\yr 2004
\vol 48
\issue 3
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\crossref{https://doi.org/10.1137/S0040585X97980531}
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  • https://www.mathnet.ru/eng/tvp267
  • https://doi.org/10.4213/tvp267
  • https://www.mathnet.ru/eng/tvp/v48/i3/p487
    • This publication is cited in the following 5 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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