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, 2016, Volume 61, Issue 3, Pages 464–488
DOI: https://doi.org/10.4213/tvp5069
(Mi tvp5069)
 

This article is cited in 1 scientific paper (total in 1 paper)

On two approaches to concentration for sampling without replacement

I. O. Tolstikhin

Max Planck Institute for Intelligent Systems
Full-text PDF (322 kB) Citations (1)
References:
Abstract: This paper considers the concentration of values of functions of random variables sampled without replacement from a fixed finite set close to their expectations — a problem which is relevant to a variety of applications, including the transductive formulation of statistical learning theory. Apart from the review of known results, the paper studies two general approaches leading in many cases to sufficiently exact concentration inequalities. The first is based on the sub-Gaussian inequality of Bobkov [Ann. Probab., 32 (2004), pp. 2884–2907] for functions defined on a slice of the discrete cube. The second approach proposed by Hoeffding [J. Amer. Statist. Assoc., 58 (1963), pp. 13–30] reduces the problem to studying a sample of independent random variables.
Keywords: concentration inequalities, empirical processes, choice without replacement.
Funding agency Grant number
Russian Foundation for Basic Research 14-07-00847_а
Received: 26.01.2014
English version:
Theory of Probability and its Applications, 2017, Volume 61, Issue 3, Pages 462–481
DOI: https://doi.org/10.1137/S0040585X97T988277
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. O. Tolstikhin, “On two approaches to concentration for sampling without replacement”, Teor. Veroyatnost. i Primenen., 61:3 (2016), 464–488; Theory Probab. Appl., 61:3 (2017), 462–481
Citation in format AMSBIB
\Bibitem{Tol16}
\by I.~O.~Tolstikhin
\paper On two approaches to concentration for sampling without replacement
\jour Teor. Veroyatnost. i Primenen.
\yr 2016
\vol 61
\issue 3
\pages 464--488
\mathnet{http://mi.mathnet.ru/tvp5069}
\crossref{https://doi.org/10.4213/tvp5069}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3626458}
\zmath{https://zbmath.org/?q=an:1376.60047}
\elib{https://elibrary.ru/item.asp?id=27485081}
\transl
\jour Theory Probab. Appl.
\yr 2017
\vol 61
\issue 3
\pages 462--481
\crossref{https://doi.org/10.1137/S0040585X97T988277}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412117600006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85030319068}
Linking options:
  • https://www.mathnet.ru/eng/tvp5069
  • https://doi.org/10.4213/tvp5069
  • https://www.mathnet.ru/eng/tvp/v61/i3/p464
  • This publication is cited in the following 1 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:593
    Full-text PDF :82
    References:66
    First page:16
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024