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, 1981, Volume 26, Issue 2, Pages 335–349 (Mi tvp2514)  
This article is cited in 11 scientific papers (total in 11 papers)

Upper bounds for the concentration function in a Hilbert space

G. Siegel

Leipzig
Full-text PDF (760 kB) Citations (11)
Abstract: New bounds (analogous to the bounds obtained by Kolmogorov, Rogozin and Esseen) are derived for the concentration function of the sums of independent random variables with values in a Hilbert space. In particular, the absolute constants used in the estimates don't depend on the dimension in the finite-dimensional space. Further, some limit theorems for the concentration function and some estimates for the concentration functions of infinitely divisible distributions are given.
Received: 25.05.1978
English version:
Theory of Probability and its Applications, 1982, Volume 26, Issue 2, Pages 328–343
DOI: https://doi.org/10.1137/1126032
Bibliographic databases:
Language: Russian
Citation: G. Siegel, “Upper bounds for the concentration function in a Hilbert space”, Teor. Veroyatnost. i Primenen., 26:2 (1981), 335–349; Theory Probab. Appl., 26:2 (1982), 328–343
Citation in format AMSBIB
\Bibitem{Sie81}
\by G.~Siegel
\paper Upper bounds for the concentration function in a~Hilbert space
\jour Teor. Veroyatnost. i Primenen.
\yr 1981
\vol 26
\issue 2
\pages 335--349
\mathnet{http://mi.mathnet.ru/tvp2514}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=616624}
\zmath{https://zbmath.org/?q=an:0501.60021|0487.60014}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 26
\issue 2
\pages 328--343
\crossref{https://doi.org/10.1137/1126032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981NJ71600007}
Linking options:
  • https://www.mathnet.ru/eng/tvp2514
  • https://www.mathnet.ru/eng/tvp/v26/i2/p335
    • This publication is cited in the following 11 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
    Statistics & downloads:
    Abstract page:176
    Full-text PDF :101
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024