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Teoriya Veroyatnostei i ee Primeneniya, 1988, Volume 33, Issue 4, Pages 753–754 (Mi tvp3741)  

This article is cited in 10 scientific papers (total in 10 papers)

Short Communications

A Precise Estimate of the Accuracy of Normal Approximation in Hilbert Space

B. A. Zalesskiĭ, V. V. Sazonov, V. V. Ul'yanov
Received: 20.05.1988
English version:
Theory of Probability and its Applications, 1988, Volume 33, Issue 4, Pages 700–701
DOI: https://doi.org/10.1137/1133103
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. A. Zalesskiǐ, V. V. Sazonov, V. V. Ul'yanov, “A Precise Estimate of the Accuracy of Normal Approximation in Hilbert Space”, Teor. Veroyatnost. i Primenen., 33:4 (1988), 753–754; Theory Probab. Appl., 33:4 (1988), 700–701
Citation in format AMSBIB
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\by B.~A.~Zalesski{\v\i}, V.~V.~Sazonov, V.~V.~Ul'yanov
\paper A~Precise Estimate of the Accuracy of Normal Approximation in Hilbert Space
\jour Teor. Veroyatnost. i Primenen.
\yr 1988
\vol 33
\issue 4
\pages 753--754
\mathnet{http://mi.mathnet.ru/tvp3741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=979742}
\zmath{https://zbmath.org/?q=an:0679.60008|0662.60009}
\transl
\jour Theory Probab. Appl.
\yr 1988
\vol 33
\issue 4
\pages 700--701
\crossref{https://doi.org/10.1137/1133103}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988AZ90500010}
Linking options:
  • https://www.mathnet.ru/eng/tvp3741
  • https://www.mathnet.ru/eng/tvp/v33/i4/p753
    Erratum
    This publication is cited in the following 10 articles:
    1. Goetze F. Zaitsev A.Yu., “Explicit Rates of Approximation in the Clt for Quadratic Forms”, Ann. Probab., 42:1 (2014), 354–397  crossref  isi
    2. Yuri V. Prokhorov, Vladimir V. Ulyanov, Springer Proceedings in Mathematics & Statistics, 42, Limit Theorems in Probability, Statistics and Number Theory, 2013, 235  crossref
    3. S. V. Nagaev, V. I. Chebotarev, “On the Accuracy of Gaussian Approximation in Hilbert Space”, Siberian Adv. Math., 15:1 (2005), 11–73  mathnet  mathscinet  zmath  elib
    4. V. Bentkus, F. Götze, “Lattice points in multidimensional bodies”, Forum Mathematicum, 13:2 (2001)  crossref
    5. Bentkus V., Gotze F., “Optimal bounds in non–Gaussian limit theorems for U–statistics”, Annals of Probability, 27:1 (1999), 454–521  crossref  mathscinet  zmath  isi
    6. Normal Approximation, 1998, 355  crossref
    7. V. V. Senatov, “On Estimates of the Rate of Convergence in the Central Limit Theorem in Multidimensional Spaces”, Theory Probab. Appl., 37:4 (1993), 703–706  mathnet  mathnet  crossref
    8. V. V. Senatov, “Some remarks on estimating the rate of convergence in the central limit theorem in a Hilbert space”, Theory Probab. Appl., 36:2 (1991), 401–405  mathnet  mathnet  crossref  isi
    9. B. A. Zalesskii, V. V. Sazonov, V. V. Ulyanov, “A precise estimate of the rate of convergence in the Central Limit Theorem in Hilbert space”, Math. USSR-Sb., 68:2 (1991), 453–482  mathnet  crossref  mathscinet  zmath  isi
    10. V. V. Senatov, “Estimate of the Rate of Convergence in the Central Limit Theorem in Hilbert Space”, Theory Probab. Appl., 34:2 (1989), 366–366  mathnet  mathnet  crossref  isi
    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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