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Moderate and Small Deviations for the Ranges of One-Dimensional Random Walks
Authors:Xia Chen
Institution:(1) Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA
Abstract:We establish moderate and small deviations for the ranges of integer valued random walks. Our theorems apply to the limsup and the liminf laws of the iterated logarithm. We establish moderate and small deviations for the ranges of integer valued random walks. Our theorems apply to the limsup and the liminf laws of the iterated logarithm.
Keywords:Range  intersection of ranges  random walks  moderate deviation  small deviation  law of the iterated logarithm
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