Asymptotic distribution of the downtime of a monotone system |
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| Authors: | Aven Terje Jensen Uwe |
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| Affiliation: | (1) Rogaland University Centre, 4004 Ullandhaug, Stavanger, Norway;(2) University of Oslo, Norway;(3) University of Ulm, D-89069 Ulm, Germany |
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| Abstract: | To compute the distribution of the downtime in a time interval [0,t] for a highly available monotone system, a Compound Poisson process (CP(t)) approximation is often used. In this paper we give sufficient conditions for when the distribution ofCP(t) is an asymptotic limit. We also study the convergence to the normal distribution. |
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| Keywords: | Downtime Distribution Monotone System with Repairable Components Compound Poisson Approximation |
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