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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 1, Pages 202–208
DOI: https://doi.org/10.4213/tvp1723 (Mi tvp1723) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

Optimal bounds for the Prokhorov distance of the Miller–Sen process and Brownian motion

D. Ferger

Mathematisches Institut, Justus-Liebig-Universität Giessen, Germany
Full-text PDF (353 kB) Citations (5)
DOI: https://doi.org/10.4213/tvp1723
Abstract: We consider U-processes introduced by Miller and Sen. Exact rates of convergence to Brownian motion in the sense of Prokhorov's metric are established.
Keywords: nondegenerate $U$-processes, the Prokhorov-metric, Hoeffding-decomposition, partial sum process.
Received: 23.03.1993
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 1, Pages 155–162
DOI: https://doi.org/10.1137/S0040585X97976040
Bibliographic databases:
Document Type: Article
Language: English
Citation: D. Ferger, “Optimal bounds for the Prokhorov distance of the Miller–Sen process and Brownian motion”, Teor. Veroyatnost. i Primenen., 42:1 (1997), 202–208; Theory Probab. Appl., 42:1 (1998), 155–162
Citation in format AMSBIB
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\by D.~Ferger
\paper Optimal bounds for the Prokhorov distance of the Miller--Sen process and Brownian motion
\jour Teor. Veroyatnost. i Primenen.
\yr 1997
\vol 42
\issue 1
\pages 202--208
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\zmath{https://zbmath.org/?q=an:0920.60015}
\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 1
\pages 155--162
\crossref{https://doi.org/10.1137/S0040585X97976040}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000073918900013}
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  • https://doi.org/10.4213/tvp1723
  • https://www.mathnet.ru/eng/tvp/v42/i1/p202
    • This publication is cited in the following 5 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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