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

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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.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Russia

    A. V. Lebedev

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  1. A. V. Lebedev
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Lebedev, A.V. Maxima of Subexponential Shot-Noise Fields with Finite Radius of Influence. Mathematical Notes 73, 240–243 (2003). https://doi.org/10.1023/A:1022115226733

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