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Teoriya Veroyatnostei i ee Primeneniya, 2002, Volume 47, Issue 4, Pages 814–817
DOI: https://doi.org/10.4213/tvp3787 (Mi tvp3787) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

Invariance principle for $U$-statistics and von Mises' functionals of weakly dependent observations

O. Sh. Sharipov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (448 kB) Citations (3)
DOI: https://doi.org/10.4213/tvp3787
Abstract: $U$-statistics and von Mises' functionals with degenerate kernel are considered. Almost sure invariance principles for them are established when the observations satisfy a mixing condition.
Keywords: $U$-statistics, von Mises' functional, almost sure invariance principle, mixing condition.
Received: 17.05.2000
English version:
Theory of Probability and its Applications, 2003, Volume 47, Issue 4, Pages 730–733
DOI: https://doi.org/10.1137/S0040585X97980130
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. Sh. Sharipov, “Invariance principle for $U$-statistics and von Mises' functionals of weakly dependent observations”, Teor. Veroyatnost. i Primenen., 47:4 (2002), 814–817; Theory Probab. Appl., 47:4 (2003), 730–733
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2003
\vol 47
\issue 4
\pages 730--733
\crossref{https://doi.org/10.1137/S0040585X97980130}
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  • https://doi.org/10.4213/tvp3787
  • https://www.mathnet.ru/eng/tvp/v47/i4/p814
    • This publication is cited in the following 3 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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