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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 3, Pages 495–507 (Mi tvp3445)  

This article is cited in 2 scientific papers (total in 2 papers)

On the weak convergence of probability measures in Orlicz spaces

A. N. Baushev

Petersburg State Transport University
Full-text PDF (781 kB) Citations (2)
Abstract: The necessary and sufficient conditions for the weak convergence of probability measures in separable Orlicz spaces are obtained. These conditions have the form of simultaneous convergence of characteristic functionals and generalized moments of the norm of the measures under consideration.
Keywords: probability measure, characteristic functional, Banach space, weak relative compactness of a family of measures, weak convergence of measures.
Received: 24.01.1992
Revised: 09.02.1993
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 3, Pages 420–429
DOI: https://doi.org/10.1137/1140047
Bibliographic databases:
Language: Russian
Citation: A. N. Baushev, “On the weak convergence of probability measures in Orlicz spaces”, Teor. Veroyatnost. i Primenen., 40:3 (1995), 495–507; Theory Probab. Appl., 40:3 (1995), 420–429
Citation in format AMSBIB
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\by A.~N.~Baushev
\paper On the weak convergence of probability measures in Orlicz spaces
\jour Teor. Veroyatnost. i Primenen.
\yr 1995
\vol 40
\issue 3
\pages 495--507
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1401981}
\zmath{https://zbmath.org/?q=an:0860.60005}
\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 3
\pages 420--429
\crossref{https://doi.org/10.1137/1140047}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VN31700002}
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  • https://www.mathnet.ru/eng/tvp/v40/i3/p495
  • This publication is cited in the following 2 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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