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Teoriya Veroyatnostei i ee Primeneniya, 1984, Volume 29, Issue 1, Pages 49–64 (Mi tvp1958)  
This article is cited in 7 scientific papers (total in 7 papers)

Estimates of distances between sums of independent random elements in Banach spaces

V. Bentkus, A. Račkauskas

Vilnius
Full-text PDF (1094 kB) Citations (7)
Abstract: Various metrics on the set of random elements in Banach space are treated. Estimates of closeness in these metrics of sums of independent random elements are obtained. Using these estimates we obtain the unimprovable rate of convergence in the central limit theorem for Banach space valued random elements in the Prochorov metric.
Received: 29.10.1981
English version:
Theory of Probability and its Applications, 1985, Volume 29, Issue 1, Pages 50–65
DOI: https://doi.org/10.1137/1129005
Bibliographic databases:
Language: Russian
Citation: V. Bentkus, A. Račkauskas, “Estimates of distances between sums of independent random elements in Banach spaces”, Teor. Veroyatnost. i Primenen., 29:1 (1984), 49–64; Theory Probab. Appl., 29:1 (1985), 50–65
Citation in format AMSBIB
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\by V.~Bentkus, A.~Ra{\v{c}}kauskas
\paper Estimates of distances between sums of independent random elements in Banach spaces
\jour Teor. Veroyatnost. i Primenen.
\yr 1984
\vol 29
\issue 1
\pages 49--64
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=739500}
\zmath{https://zbmath.org/?q=an:0554.60015|0534.60008}
\transl
\jour Theory Probab. Appl.
\yr 1985
\vol 29
\issue 1
\pages 50--65
\crossref{https://doi.org/10.1137/1129005}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AFG0600005}
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    • This publication is cited in the following 7 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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