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, 1959, Volume 4, Issue 4, Pages 451–453 (Mi tvp4905)  

This article is cited in 7 scientific papers (total in 7 papers)

Short Communications

On the Estimation of the Mean in Stationary Processes

S. Ya. Vilenkin
Full-text PDF (313 kB) Citations (7)
Abstract: The variance of the estimate
$$m_{N+1}=\frac1{N+1}\sum_{i=0}^N\xi\left(\frac{i}{N}\cdot T\right)$$
of a mean of a stationary process $\xi(t)$ is shown to attain its minimum value for some finite $N$.
Received: 07.05.1959
English version:
Theory of Probability and its Applications, 1959, Volume 4, Issue 4, Pages 415–416
DOI: https://doi.org/10.1137/1104042
Document Type: Article
Language: Russian
Citation: S. Ya. Vilenkin, “On the Estimation of the Mean in Stationary Processes”, Teor. Veroyatnost. i Primenen., 4:4 (1959), 451–453; Theory Probab. Appl., 4:4 (1959), 415–416
Citation in format AMSBIB
\Bibitem{Vil59}
\by S.~Ya.~Vilenkin
\paper On the Estimation of the Mean in Stationary Processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1959
\vol 4
\issue 4
\pages 451--453
\mathnet{http://mi.mathnet.ru/tvp4905}
\transl
\jour Theory Probab. Appl.
\yr 1959
\vol 4
\issue 4
\pages 415--416
\crossref{https://doi.org/10.1137/1104042}
Linking options:
  • https://www.mathnet.ru/eng/tvp4905
  • https://www.mathnet.ru/eng/tvp/v4/i4/p451
  • This publication is cited in the following 7 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:158
    Full-text PDF :74
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024