On finite range stable type concentration
J. C. Breton, C. Houdré
Abstract
The purpose of these notes is to further complete our understanding of the stable concentration phenomenon, by obtaining the finite range behavior of P(F-E[F]≥ x), with F=f(X) where f is a Lipschitz function and X is a stable random vector or with F a stochastic functional on the Poisson space equipped with a stable Lévy measure.
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