Some exponential type bounds for hitting time distributions of storage processes |
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Authors: | Keigo Yamada |
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Institution: | Institute of Information Sciences, University of Tsukuba, Ibaraki 305, Japan |
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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. |
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Keywords: | storage processes hitting times exponential bounds martingale theory |
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