Theory of Stochastic Processes
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Theory Stoch. Process.:
Year:
Volume:
Issue:
Page:
Find




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

Theory of Stochastic Processes, 2009, Volume 15(31), Issue 1, Pages 7–14 (Mi thsp107)  
This article is cited in 1 scientific paper (total in 1 paper)

On the convergence of series of autoregressive sequences

Valerii. V. Buldygin, Marina. K. Runovska

Department of Math. Anal. and Probab. Theory, Ukraine (KPI), Peremogy Ave., 37, Kyiv 03056, Ukraine
Full-text PDF (116 kB) Citations (1)
References:
PDF
HTML
Abstract: Necessary and sufficient conditions for the almost sure convergence of a series of autoregressive sequences are studied. In particular, the convergence of a series of zero-mean Gaussian Markov sequences are considered.
Keywords: Autoregressive sequences, Gaussian Markov sequences, summability theory, almost sure convergence of series of random variables.
Bibliographic databases:
Document Type: Article
MSC: Primary 60G50, 60G15; Secondary 40C05
Language: English
Citation: Valerii. V. Buldygin, Marina. K. Runovska, “On the convergence of series of autoregressive sequences”, Theory Stoch. Process., 15(31):1 (2009), 7–14
Citation in format AMSBIB
\Bibitem{BulRun09}
\by Valerii.~V.~Buldygin, Marina.~K.~Runovska
\paper On the convergence of series of autoregressive sequences
\jour Theory Stoch. Process.
\yr 2009
\vol 15(31)
\issue 1
\pages 7--14
\mathnet{http://mi.mathnet.ru/thsp107}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2603166}
\zmath{https://zbmath.org/?q=an:1224.60093}
Linking options:
  • https://www.mathnet.ru/eng/thsp107
  • https://www.mathnet.ru/eng/thsp/v15/i1/p7
    • 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
    		Theory of Stochastic Processes
    Statistics & downloads:
    Abstract page:134
    Full-text PDF :43
    References:29
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024