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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
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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
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\jour Teor. Veroyatnost. i Primenen.
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\vol 28
\issue 4
\pages 668--678
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\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}
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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