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Cluster Sets of Self-Normalized Sums
Authors:David M Mason
Institution:(1) Statistics Program, University of Delaware, Newark, DE 19717, USA
Abstract:We determine the cluster sets of certain self-normalized sums of i.i.d. random variables. In the process, we obtain a refined large deviation result for sums in the domain of attraction of a stable law.
Keywords:Self-normalized sums  stable laws  cluster sets
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