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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 1, Pages 3–20
DOI: https://doi.org/10.4213/tvp1708 (Mi tvp1708) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Inversion formulas in the case of a discontinuous limit law

A. K. Aleshkyavichene, V. A. Statulyavichus

Institute of Mathematics and Informatics
Full-text PDF (732 kB) Citations (13)
DOI: https://doi.org/10.4213/tvp1708
Abstract: This paper is devoted to the estimation of the distance in a uniform metric between the distribution function $F$ and a discontinuous function of bounded variation $G$ by means of the difference of their Fourier–Stieltjes transforms and the concentration functions $F$ and $G$ in the neighbourhood of discontinuity points.
Keywords: inversion formula, distribution function, characteristic function, concentration function.
Received: 21.12.1995
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 1, Pages 1–16
DOI: https://doi.org/10.1137/S0040585X97975897
Bibliographic databases:
Language: Russian
Citation: A. K. Aleshkyavichene, V. A. Statulyavichus, “Inversion formulas in the case of a discontinuous limit law”, Teor. Veroyatnost. i Primenen., 42:1 (1997), 3–20; Theory Probab. Appl., 42:1 (1998), 1–16
Citation in format AMSBIB
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\by A.~K.~Aleshkyavichene, V.~A.~Statulyavichus
\paper Inversion formulas in the case of a~discontinuous limit law
\jour Teor. Veroyatnost. i Primenen.
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\vol 42
\issue 1
\pages 3--20
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1453326}
\zmath{https://zbmath.org/?q=an:0912.60038}
\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 1
\pages 1--16
\crossref{https://doi.org/10.1137/S0040585X97975897}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000073918900001}
Linking options:
  • https://www.mathnet.ru/eng/tvp1708
  • https://doi.org/10.4213/tvp1708
  • https://www.mathnet.ru/eng/tvp/v42/i1/p3
    • This publication is cited in the following 13 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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