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Selective interaction of two independent recurrent processes

Published online by Cambridge University Press:  14 July 2016

M. Ten Hoopen  and
H. A. Reuver
M. Ten Hoopen
Affiliation:
Institute of Medical Physics TNO, Utrecht
H. A. Reuver
Affiliation:
Institute of Medical Physics TNO, Utrecht
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Summary

Considered are two mutually independent recurrent processes each consisting of a time series of unitary stimuli. The durations of the intervals between the stimuli in each series are independent of each other and identically distributed with probability density functions φ (t) and ψ (t). Every stimulus of the ψ (t) process annihilates the next stimulus of the φ (t) process. The probability density function of the intervals of the transformed φ (t) process is derived for the case where either the φ (t) or the ψ (t) process is Poisson.

Type
Research Papers
Information
Journal of Applied Probability , Volume 2 , Issue 2 , December 1965 , pp. 286 - 292
Copyright
Copyright © Applied Probability Trust 

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