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Asymptotic properties and equilibrium conditions for branching Poisson processes

Published online by Cambridge University Press:  14 July 2016

P.A.W. Lewis
P.A.W. Lewis*
Affiliation:
IBM Research Center, New York
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Abstract

Some previously obtained asymptotic results for branching Poisson processes are extended and sharpened. It is shown that under rather general conditions the number of events in both the transient and the equilibrium processes, suitably normalized, have a unit normal distribution. Finally, unique initial conditions are derived for the equilibrium process.

Type
Research Papers
Information
Journal of Applied Probability , Volume 6 , Issue 2 , August 1969 , pp. 355 - 371
Copyright
Copyright © Sheffield: Applied Probability Trust 

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