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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2003 Volume 73, Issue 2, Pages 258–262 (Mi mzm184)

This article is cited in 1 paper

Maxima of Subexponential Shot-Noise Fields with Finite Radius of Influence

A. V. Lebedev

M. V. Lomonosov Moscow State University

Abstract: We study the asymptotic behavior of the maxima of shot-noise fields on bounded measurable domains tending to infinity in the sense of van Hove. It is assumed that the radius of influence is finite and the amplitudes are subexponentially distributed. A nondegenerate limiting distribution for the maxima is obtained.

UDC: 519.219.2

Received: 28.08.2001
Revised: 10.04.2002

DOI: 10.4213/mzm184


 English version:
Mathematical Notes, 2003, 73:2, 240–243

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© Steklov Math. Inst. of RAS, 2024