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, 1976, Volume 20, Issue 4, Pages 529–536 (Mi mzm7873)  
This article is cited in 1 scientific paper (total in 1 paper)

Necessary convergence conditions for series $\sum a_nS_n$ in the case of identically distributed independent random quantities

V. F. Gaposhkin
Full-text PDF (476 kB) Citations (1)
Abstract: Necessary (in some cases also sufficient) conditions are obtained for convergence of the series $\sum a_nS_n$ where $S_n=\sum_1^n\xi_k$, $\xi_k$ are independent random quantities. The cases in which $\xi_k$ are symmetrical or identically distributed quantities are investigated in more detail.
Received: 25.03.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 4, Pages 852–857
DOI: https://doi.org/10.1007/BF01098902
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. F. Gaposhkin, “Necessary convergence conditions for series $\sum a_nS_n$ in the case of identically distributed independent random quantities”, Mat. Zametki, 20:4 (1976), 529–536; Math. Notes, 20:4 (1976), 852–857
Citation in format AMSBIB
\Bibitem{Gap76}
\by V.~F.~Gaposhkin
\paper Necessary convergence conditions for series $\sum a_nS_n$ in the case of identically distributed independent random quantities
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 4
\pages 529--536
\mathnet{http://mi.mathnet.ru/mzm7873}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=423490}
\zmath{https://zbmath.org/?q=an:0372.60065}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 4
\pages 852--857
\crossref{https://doi.org/10.1007/BF01098902}
Linking options:
  • https://www.mathnet.ru/eng/mzm7873
  • https://www.mathnet.ru/eng/mzm/v20/i4/p529
    • 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
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:182
    Full-text PDF :76
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024