Loading [MathJax]/jax/output/SVG/config.js
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, 1995, Volume 40, Issue 1, Pages 68–83 (Mi tvp3291)  
This article is cited in 2 scientific papers (total in 2 papers)

Almost sure convergence of multiple series of independent random variables

O. I. Klesov

National Technical University of Ukraine "Kiev Polytechnic Institute"
Full-text PDF (847 kB) Citations (2)
Abstract: Multiple sums of independent random variables are considered. Necessary and sufficient conditions are obtained for the almost sure convergence of multiple series. Some corollaries are given regarding different classes of summands.
Keywords: multiple sums, independent random variables, almost sure convergence.
Received: 28.11.1991
Revised: 01.03.1994
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 1, Pages 52–65
DOI: https://doi.org/10.1137/1140003
Bibliographic databases:
Language: Russian
Citation: O. I. Klesov, “Almost sure convergence of multiple series of independent random variables”, Teor. Veroyatnost. i Primenen., 40:1 (1995), 68–83; Theory Probab. Appl., 40:1 (1995), 52–65
Citation in format AMSBIB
\Bibitem{Kle95}
\by O.~I.~Klesov
\paper Almost sure convergence of multiple series of independent random variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1995
\vol 40
\issue 1
\pages 68--83
\mathnet{http://mi.mathnet.ru/tvp3291}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1346731}
\zmath{https://zbmath.org/?q=an:0845.60028}
\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 1
\pages 52--65
\crossref{https://doi.org/10.1137/1140003}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996UH07100003}
Linking options:
  • https://www.mathnet.ru/eng/tvp3291
  • https://www.mathnet.ru/eng/tvp/v40/i1/p68
    • This publication is cited in the following 2 articles:
    1. Martin Drapatz, “Strictly stationary solutions of spatial ARMA equations”, Ann Inst Stat Math, 68:2 (2016), 385  crossref
    2. P. A. Yaskov, “Strong convergence for multiple sums of non-orthogonal random variables”, Theory Probab. Appl., 55:2 (2011), 351–355  mathnet  crossref  crossref  mathscinet  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
    Statistics & downloads:
    Abstract page:330
    Full-text PDF :277
    First page:10
     
      Contact us:
    math-net2025_03@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025