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, 1960, Volume 5, Issue 2, Pages 222–227 (Mi tvp4828)  

This article is cited in 208 scientific papers (total in 209 papers)

Short Communications

On Strong Mixing Conditions for Stationary Gaussian Processes

A. N. Kolmogorov, Yu. A. Rozanov

Moscow
Abstract: This paper considers conditions, which guarantee strong mixing of stationary random Gaussian process $\xi (t)$.
It is proved, for example, that if the spectral density $f(\lambda)$ of the process $\xi(t)$ is continuous and positive (parameter $t$ is discrete) or $f(\lambda )$ is positive and uniformly continuous, and for large $\lambda$
$$\frac{m}{\lambda^k}\leq f(\lambda)\leq\frac{M}{\lambda^{k-1}}$$
(parameter $t$ is continuous), then strong mixing takes place.
Received: 18.11.1959
English version:
Theory of Probability and its Applications, 1960, Volume 5, Issue 2, Pages 204–208
DOI: https://doi.org/10.1137/1105018
Document Type: Article
Language: Russian
Citation: A. N. Kolmogorov, Yu. A. Rozanov, “On Strong Mixing Conditions for Stationary Gaussian Processes”, Teor. Veroyatnost. i Primenen., 5:2 (1960), 222–227; Theory Probab. Appl., 5:2 (1960), 204–208
Citation in format AMSBIB
\Bibitem{KolRoz60}
\by A.~N.~Kolmogorov, Yu.~A.~Rozanov
\paper On Strong Mixing Conditions for Stationary Gaussian Processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1960
\vol 5
\issue 2
\pages 222--227
\mathnet{http://mi.mathnet.ru/tvp4828}
\transl
\jour Theory Probab. Appl.
\yr 1960
\vol 5
\issue 2
\pages 204--208
\crossref{https://doi.org/10.1137/1105018}
Linking options:
  • https://www.mathnet.ru/eng/tvp4828
  • https://www.mathnet.ru/eng/tvp/v5/i2/p222
  • This publication is cited in the following 209 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:490
    Full-text PDF :294
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024