Geodesic
Asymptotic properties of the point processes of rare events in Gaussian fields.~I
Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 4, pp. 668-678

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TVP_1983_28_4_a4,
     author = {U. Z\"ahle},
     title = {Asymptotic properties of the point processes of rare events in {Gaussian} {fields.~I}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {668--678},
     publisher = {mathdoc},
     volume = {28},
     number = {4},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_4_a4/}
}
TY  - JOUR
AU  - U. Zähle
TI  - Asymptotic properties of the point processes of rare events in Gaussian fields.~I
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1983
SP  - 668
EP  - 678
VL  - 28
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_1983_28_4_a4/
LA  - ru
ID  - TVP_1983_28_4_a4
ER  - 
%0 Journal Article
%A U. Zähle
%T Asymptotic properties of the point processes of rare events in Gaussian fields.~I
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1983
%P 668-678
%V 28
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_1983_28_4_a4/
%G ru
%F TVP_1983_28_4_a4
U. Zähle. Asymptotic properties of the point processes of rare events in Gaussian fields.~I. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 4, pp. 668-678. http://geodesic.mathdoc.fr/item/TVP_1983_28_4_a4/