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, 1983, Volume 28, Issue 4, Pages 668–678 (Mi tvp2215)  
Asymptotic properties of the point processes of rare events in Gaussian fields. I

U. Zähle

GDR
Full-text PDF (746 kB)
Abstract: The asymptotic behaviour of point processes, generated by arbitrary rare events defined on the stationary discrete Gaussian vector fields, is studied. This paper contains some sufficient conditions for the weak convergence (after a suitable change of a parameter space) of the rare events point processes to a Poisson process. These conditions are weaker than well-known conditions for the special case of high level crossings.
Received: 12.05.1980
English version:
Theory of Probability and its Applications, 1984, Volume 28, Issue 4, Pages 703–713
DOI: https://doi.org/10.1137/1128069
Bibliographic databases:
Language: Russian
Citation: U. Zähle, “Asymptotic properties of the point processes of rare events in Gaussian fields. I”, Teor. Veroyatnost. i Primenen., 28:4 (1983), 668–678; Theory Probab. Appl., 28:4 (1984), 703–713
Citation in format AMSBIB
\Bibitem{Zah83}
\by U.~Z\"ahle
\paper Asymptotic properties of the point processes of rare events in Gaussian fields.~I
\jour Teor. Veroyatnost. i Primenen.
\yr 1983
\vol 28
\issue 4
\pages 668--678
\mathnet{http://mi.mathnet.ru/tvp2215}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=726893}
\zmath{https://zbmath.org/?q=an:0527.60034}
\transl
\jour Theory Probab. Appl.
\yr 1984
\vol 28
\issue 4
\pages 703--713
\crossref{https://doi.org/10.1137/1128069}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984TV66700005}
Linking options:
  • https://www.mathnet.ru/eng/tvp2215
  • https://www.mathnet.ru/eng/tvp/v28/i4/p668
    Cycle of papers
    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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024