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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 2002 Volume 47, Issue 4, Pages 790–794 (Mi tvp3784)

This article is cited in 3 papers

Short Communications

Extremes of shot-noise fields in the presence of regularly varying tails

A. V. Lebedev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The paper considers shot-noise fields with regularly varying tailed amplitudes. A nondegenerate limit law under the linear normalization for maxima of the field over bounded measurable regions growing monotonically in the Van Hove sense is obtained.

Keywords: shot-noise field, extreme, regularly varying tail, nondegenerate limit law, linear normalization.

Received: 20.01.2000

DOI: 10.4213/tvp3784


 English version:
Theory of Probability and its Applications, 2003, 47:4, 702–706

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