Maxima of Subexponential Shot-Noise Fields with Finite Radius of Influence |
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Authors: | Lebedev A. V. |
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Affiliation: | (1) M. V. Lomonosov Moscow State University, Russia |
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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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Keywords: | shot noise subexponential shot-noise field subexponential distribution Poisson point field |
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