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Teoriya Veroyatnostei i ee Primeneniya, 1998, Volume 43, Issue 1, Pages 69–81
DOI: https://doi.org/10.4213/tvp824 (Mi tvp824) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Estimates of the convergence ratein the central limit theorem for generalized $U$-statistics

Sh. A. Khashimov, G. R. Abdurakhmanov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (541 kB) Citations (2)
DOI: https://doi.org/10.4213/tvp824
Abstract: Estimates are found of the convergence rate in the central limit theorem for generalized nondegenerate $U$-statistics. The estimates obtained refine and generalize a number of known results in this field.
Keywords: generalized $U$-statistics, characteristic function, normal distribution.
Received: 21.05.1996
English version:
Theory of Probability and its Applications, 1999, Volume 43, Issue 1, Pages 63–74
DOI: https://doi.org/10.1137/S0040585X97976660
Bibliographic databases:
Language: Russian
Citation: Sh. A. Khashimov, G. R. Abdurakhmanov, “Estimates of the convergence ratein the central limit theorem for generalized $U$-statistics”, Teor. Veroyatnost. i Primenen., 43:1 (1998), 69–81; Theory Probab. Appl., 43:1 (1999), 63–74
Citation in format AMSBIB
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\jour Theory Probab. Appl.
\yr 1999
\vol 43
\issue 1
\pages 63--74
\crossref{https://doi.org/10.1137/S0040585X97976660}
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  • https://doi.org/10.4213/tvp824
  • https://www.mathnet.ru/eng/tvp/v43/i1/p69
    • This publication is cited in the following 2 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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