Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoriya Veroyatnostei i ee Primeneniya, 1983, Volume 28, Issue 2, Pages 440–445 (Mi tvp2312)  
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

On the estimate of the rate of convergence with respect to the system of balls in the central limit theorem in $R^k$

V. V. Senatov

Moscow
Full-text PDF (754 kB) Citations (2)
Abstract: We obtain an estimate of the order $O(n^{-1/2)}$ for the rate of convergence with respect to the balls in the central limit theorem in $R^k$. The main part of the estimate does not depend on the dimensional parameter $k$. This estimate accounts the closeness of the distributions of summands to the normal distribution.
Received: 17.12.1982
English version:
Theory of Probability and its Applications, 1984, Volume 2, Issue 2, Pages 463–467
DOI: https://doi.org/10.1137/1128042
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Senatov, “On the estimate of the rate of convergence with respect to the system of balls in the central limit theorem in $R^k$”, Teor. Veroyatnost. i Primenen., 28:2 (1983), 440–445; Theory Probab. Appl., 2:2 (1984), 463–467
Citation in format AMSBIB
\Bibitem{Sen83}
\by V.~V.~Senatov
\paper On the estimate of the rate of convergence with respect to the system of balls in the central limit theorem in $R^k$
\jour Teor. Veroyatnost. i Primenen.
\yr 1983
\vol 28
\issue 2
\pages 440--445
\mathnet{http://mi.mathnet.ru/tvp2312}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=700227}
\zmath{https://zbmath.org/?q=an:0569.60022}
\transl
\jour Theory Probab. Appl.
\yr 1984
\vol 2
\issue 2
\pages 463--467
\crossref{https://doi.org/10.1137/1128042}
Linking options:
  • https://www.mathnet.ru/eng/tvp2312
  • https://www.mathnet.ru/eng/tvp/v28/i2/p440
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025