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Tail asymptotics for the supremum of an infinitely divisible field with convolution equivalent Lévy measure

Tail asymptotics for the supremum of an infinitely divisible field with convolution equivalent Lévy measure

Abstract We consider a continuous, infinitely divisible random field in R d given as an integral of a kernel function with respect to a Lévy basis with convolution equivalent Lévy measure. For a large class of such random fields we compute the asymptotic probability that the supremum of the field …