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Teoriya Veroyatnostei i ee Primeneniya, 1996, Volume 41, Issue 1, Pages 133–163
DOI: https://doi.org/10.4213/tvp2783 (Mi tvp2783) 		 
This article is cited in 6 scientific papers (total in 6 papers)

An asymptotic expansion of the distribution of a homogeneous functional of a strictly stable vector

N. V. Smorodina

Institute of Radiation Hygiene, St. Petersburg
Full-text PDF (1379 kB) Citations (6)
DOI: https://doi.org/10.4213/tvp2783
Abstract: The classical method of obtaining asymptotic expansions for stable distributions in the one-dimensional case is connected with contour integration. We use another approach based on the representation of a stable random variable in the form of a stochastic integral by Poisson random measure and on the decomposition of the distribution of this random measure into the sum of linear functionals adapted to the isolation of the separate terms of the asymptotics.
Keywords: strictly stable distribution, spectral measure, the space of configurations, Poisson random measure, linear functional in Banach space, charge, generalized function, stochastic integral.
Received: 21.07.1993
English version:
Theory of Probability and its Applications, 1997, Volume 41, Issue 1, Pages 91–115
DOI: https://doi.org/10.1137/TPRBAU000041000001000091000001
Bibliographic databases:
Language: Russian
Citation: N. V. Smorodina, “An asymptotic expansion of the distribution of a homogeneous functional of a strictly stable vector”, Teor. Veroyatnost. i Primenen., 41:1 (1996), 133–163; Theory Probab. Appl., 41:1 (1997), 91–115
Citation in format AMSBIB
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\by N.~V.~Smorodina
\paper An asymptotic expansion of the distribution of a~homogeneous functional of a~strictly stable vector
\jour Teor. Veroyatnost. i Primenen.
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\vol 41
\issue 1
\pages 133--163
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\transl
\jour Theory Probab. Appl.
\yr 1997
\vol 41
\issue 1
\pages 91--115
\crossref{https://doi.org/10.1137/TPRBAU000041000001000091000001}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997WQ28100006}
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  • https://www.mathnet.ru/eng/tvp/v41/i1/p133
    • This publication is cited in the following 6 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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