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Teoriya Veroyatnostei i ee Primeneniya, 1980, Volume 25, Issue 4, Pages 734–744 (Mi tvp1228)  
This article is cited in 18 scientific papers (total in 18 papers)

On the estimates of the rate of convergence in the invariance principle for Banach spaces

A. A. Borovkov, A. I. Sahanenko

Novosibirsk
Full-text PDF (629 kB) Citations (18)
Abstract: We propose a method for obtaining the estimates in the invariance principle for Banach spaces; this method doesn't use the representation on a common probability space. In particular, it is shown that the estimate proved by Borovkov [7] for the one- dimensional invariance principle remains valid for the finite-dimensional case too.
Received: 03.04.1980
English version:
Theory of Probability and its Applications, 1981, Volume 25, Issue 4, Pages 721–731
DOI: https://doi.org/10.1137/1125087
Bibliographic databases:
Language: Russian
Citation: A. A. Borovkov, A. I. Sahanenko, “On the estimates of the rate of convergence in the invariance principle for Banach spaces”, Teor. Veroyatnost. i Primenen., 25:4 (1980), 734–744; Theory Probab. Appl., 25:4 (1981), 721–731
Citation in format AMSBIB
\Bibitem{BorSak80}
\by A.~A.~Borovkov, A.~I.~Sahanenko
\paper On the estimates of the rate of convergence in the invariance principle for Banach spaces
\jour Teor. Veroyatnost. i Primenen.
\yr 1980
\vol 25
\issue 4
\pages 734--744
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=595135}
\zmath{https://zbmath.org/?q=an:0471.60039|0454.60033}
\transl
\jour Theory Probab. Appl.
\yr 1981
\vol 25
\issue 4
\pages 721--731
\crossref{https://doi.org/10.1137/1125087}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980MK50200005}
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    • This publication is cited in the following 18 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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