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A non-renewal process with renewal counting distributions
Published online by Cambridge University Press: 01 July 2016
Abstract
A simple example is given of a point process with dependent inter-event intervals for which the distributions of the counting random variables Nt are given by the same formulas as for a renewal process. This example shows the care needed in establishing that a given point process has the renewal property, but also raises interesting questions about the class of point processes with given counting distributions.
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- Copyright © Applied Probability Trust 1987