FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 4, PAGES 1081-1090

Extremes of shot noise fields

A. V. Lebedev

Abstract

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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.

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Last modified: April 17, 2002