Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1081-1090
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A. V. Lebedev. Extremes of shot noise fields. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1081-1090. http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a6/
@article{FPM_2001_7_4_a6,
author = {A. V. Lebedev},
title = {Extremes of shot noise fields},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {1081--1090},
year = {2001},
volume = {7},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a6/}
}
TY - JOUR
AU - A. V. Lebedev
TI - Extremes of shot noise fields
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 1081
EP - 1090
VL - 7
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a6/
LA - ru
ID - FPM_2001_7_4_a6
ER -
%0 Journal Article
%A A. V. Lebedev
%T Extremes of shot noise fields
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 1081-1090
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a6/
%G ru
%F FPM_2001_7_4_a6
The almost sure asymptotic theorems for shot noise fields maxima over bounded measurable regions growing monotonically in the Van Hove sense are proved. The non-degenerate limit law in the case of regularly varying tailed amplitudes is also obtained.