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On a property of finite-state birth and death processes
Published online by Cambridge University Press: 24 August 2016
Abstract
A simple proof is given of the result that the ‘overflow' from a finite-state birth and death process is a renewal stream characterized by hyperexponential inter-event times. Our structure is utilized to give a converse result that any hyperexponential renewal stream can be so produced as the overflow from a finite-state birth and death process.
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- Copyright © Applied Probability Trust 1986
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