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Selective interaction of a stationary point process and a renewal process

Published online by Cambridge University Press:  14 July 2016

A. J. Lawrance
A. J. Lawrance*
Affiliation:
University of Leicester
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Abstract

The selective interaction of a stationary point process and a renewal process is studied. Equilibrium conditions for the resulting point process are given, the equilibrium counting distribution is derived, and an explicit expression for the rate of the process is determined.

Type
Short Communications
Information
Journal of Applied Probability , Volume 7 , Issue 2 , August 1970 , pp. 483 - 489
Copyright
Copyright © Applied Probability Trust 1970 

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References

Cox, D. R. and Lewis, P. A. W. (1966) The Statistical Analysis of Series of Events. Methuen, London.Google Scholar
Ten Hoopen, M. and Reuver, H. A. (1965) Selective interaction between two independent recurrent processes. J. Appl. Prob. 2, 286–292.Google Scholar
Ten Hoopen, M. and Reuver, H. A. (1967) Interaction between two independent recurrent time series. Information and Control 10, 149–158.Google Scholar