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Teoriya Veroyatnostei i ee Primeneniya, 1983, Volume 28, Issue 2, Pages 367–372 (Mi tvp2302)  

This article is cited in 7 scientific papers (total in 7 papers)

Short Communications

On the rate of convergence in Donsker–Prohorov invariance principle

I. S. Borisov

Novosibirsk
Full-text PDF (886 kB) Citations (7)
Abstract: We propose a new method of the estimation of the rate of convergence in classical invariance principle for the sequence of partial sums of independent identically distributed random variables. The unimprovable estimates of the rate of convergence are obtained.
Received: 01.12.1982
English version:
Theory of Probability and its Applications, 1984, Volume 28, Issue 2, Pages 388–393
DOI: https://doi.org/10.1137/1128032
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. S. Borisov, “On the rate of convergence in Donsker–Prohorov invariance principle”, Teor. Veroyatnost. i Primenen., 28:2 (1983), 367–372; Theory Probab. Appl., 28:2 (1984), 388–393
Citation in format AMSBIB
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\by I.~S.~Borisov
\paper On the rate of convergence in Donsker--Prohorov invariance principle
\jour Teor. Veroyatnost. i Primenen.
\yr 1983
\vol 28
\issue 2
\pages 367--372
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=700217}
\zmath{https://zbmath.org/?q=an:0533.60040|0512.60018}
\transl
\jour Theory Probab. Appl.
\yr 1984
\vol 28
\issue 2
\pages 388--393
\crossref{https://doi.org/10.1137/1128032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984SS85900012}
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  • https://www.mathnet.ru/eng/tvp/v28/i2/p367
  • 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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