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Teoriya Veroyatnostei i ee Primeneniya, 2007, Volume 52, Issue 2, Pages 363–366
DOI: https://doi.org/10.4213/tvp179 (Mi tvp179) 		 
Short Communications

xtremes of shot-noise fields in the presence of regularly varying tails with index $\alpha\in(0,1)$

A. V. Lebedev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/tvp179
Abstract: The paper considers shot-noise fields with regularly varying tail amplitudes with index $\alpha\in(0,1)$. The asymptotic behavior of the supreme of the field over bounded measurable regions growing in the van Hove sense is investigated. The nondegenerate limit law, which was obtained earlier by the author, will be deduced under other assumptions.
Keywords: shot-noise field, extreme, regularly varying tail, nondegenerate limit law, linear normalization.
Received: 20.01.2005
English version:
Theory of Probability and its Applications, 2008, Volume 52, Issue 2, Pages 350–353
DOI: https://doi.org/10.1137/S0040585X97983031
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Lebedev, “xtremes of shot-noise fields in the presence of regularly varying tails with index $\alpha\in(0,1)$”, Teor. Veroyatnost. i Primenen., 52:2 (2007), 363–366; Theory Probab. Appl., 52:2 (2008), 350–353
Citation in format AMSBIB
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