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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 1, Pages 209–216
DOI: https://doi.org/10.4213/tvp1769 (Mi tvp1769) 		 
This article is cited in 157 scientific papers (total in 157 papers)

Short Communications

The almost sure Skorokhod representation for subsequences in nonmetric spaces

A. Jakubowski

Nicholas Copernikus University, Faculty of Mathematics and Informatics, Poland
Full-text PDF (474 kB) Citations (157)
DOI: https://doi.org/10.4213/tvp1769
Abstract: It is shown that in a large class of topological spaces every uniformly tight sequence of random elements contains a subsequence which admits the usual almost sure (a.s.) Skorokhod representation on the Lebesgue interval.
Keywords: the a.s. Skorokhod representation, convergence in distribution on nonmetric topological spaces, Prokhorov's theorem.
Received: 19.05.1994
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 1, Pages 167–174
DOI: https://doi.org/10.1137/S0040585X97976052
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Jakubowski, “The almost sure Skorokhod representation for subsequences in nonmetric spaces”, Teor. Veroyatnost. i Primenen., 42:1 (1997), 209–216; Theory Probab. Appl., 42:1 (1998), 167–174
Citation in format AMSBIB
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\paper The almost sure Skorokhod representation for subsequences in nonmetric spaces
\jour Teor. Veroyatnost. i Primenen.
\yr 1997
\vol 42
\issue 1
\pages 209--216
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\zmath{https://zbmath.org/?q=an:0923.60001}
\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 1
\pages 167--174
\crossref{https://doi.org/10.1137/S0040585X97976052}
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  • https://doi.org/10.4213/tvp1769
  • https://www.mathnet.ru/eng/tvp/v42/i1/p209
    • This publication is cited in the following 157 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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