Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2010, Volume 87, Issue 1, Pages 17–25
DOI: https://doi.org/10.4213/mzm6373 (Mi mzm6373) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Comparison of Distribution Functions of Random Variables

S. V. Astashkin

Samara State University
Full-text PDF (475 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm6373
Abstract: We prove a rather general comparison principle for the distribution functions of random variables. As a consequence, we obtain a criterion for the equivalence, in distribution in the vector sense, of an arbitrary sequence of random variables to the Rademacher system; we study the applications of this principle to special cases.
Keywords: distribution function of a random variable, comparison principle, Rademacher system, Banach space, Chebyshev inequality, Peetre K-functional, Banach couple.
Received: 19.08.2008
Revised: 19.05.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 1, Pages 15–22
DOI: https://doi.org/10.1134/S0001434610010037
Bibliographic databases:
UDC: 517.5+517.982.27
Language: Russian
Citation: S. V. Astashkin, “On the Comparison of Distribution Functions of Random Variables”, Mat. Zametki, 87:1 (2010), 17–25; Math. Notes, 87:1 (2010), 15–22
Citation in format AMSBIB
\Bibitem{Ast10}
\by S.~V.~Astashkin
\paper On the Comparison of Distribution Functions of Random Variables
\jour Mat. Zametki
\yr 2010
\vol 87
\issue 1
\pages 17--25
\mathnet{http://mi.mathnet.ru/mzm6373}
\crossref{https://doi.org/10.4213/mzm6373}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2730379}
\zmath{https://zbmath.org/?q=an:05791015}
\transl
\jour Math. Notes
\yr 2010
\vol 87
\issue 1
\pages 15--22
\crossref{https://doi.org/10.1134/S0001434610010037}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000276064800003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949951754}
Linking options:
  • https://www.mathnet.ru/eng/mzm6373
  • https://doi.org/10.4213/mzm6373
  • https://www.mathnet.ru/eng/mzm/v87/i1/p17
    • This publication is cited in the following 3 articles:
    1. Sergey V. Astashkin, The Rademacher System in Function Spaces, 2020, 199  crossref
    2. S. V. Astashkin, “On comparing systems of random variables with the Rademacher sequence”, Izv. Math., 81:6 (2017), 1063–1079  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    3. S. V. Astashkin, E. M. Semenov, “On Fourier Coefficients of Lacunary Systems”, Math. Notes, 100:4 (2016), 507–514  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:653
    Full-text PDF :209
    References:73
    First page:26
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025