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Some exponential type bounds for hitting time distributions of storage processes
Authors:Keigo Yamada
Institution:Institute of Information Sciences, University of Tsukuba, Ibaraki 305, Japan
Abstract:We consider a storage process with finite or infinite capacity having a compound Poisson process as input and general release rule. For this process we derive some exponential type upper and lower bounds for hitting time distributions by means of martingale theory.
Keywords:storage processes  hitting times  exponential bounds  martingale theory
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