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On a first passage problem in stochastic storage systems with total release

Published online by Cambridge University Press:  14 July 2016

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

The deleting or delay effect which a recurrent point process exerts upon another recurrent point process (or process with stationary independent increments) is treated. The concept arises in the statistical analysis of neuronal firing patterns, but may also be useful in applications to storage systems in operations research.

Type
Short Communications
Information
Journal of Applied Probability , Volume 4 , Issue 2 , August 1967 , pp. 409 - 412
Copyright
Copyright © Sheffield: Applied Probability Trust 

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References

Ten Hoopen, M. and Reuver, H. A. (1965) Selective interaction of two recurrent processes. J. Appl. Prob. 2, 286–292.Google Scholar
Ten Hoopen, M. (1966a) Multimodal interval distributions. Kybernetik 3, 17–24.Google Scholar
Ten Hoopen, M. (1996b) Ventricular response in atrial fibrillation—A model based on retarded excitation. Circulation Research 19, 911–916.CrossRefGoogle Scholar