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Superposition of distinguishable point processes

Published online by Cambridge University Press:  14 July 2016

Yoshifusa Ito
Yoshifusa Ito*
Affiliation:
Nagoya University
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Abstract

The properties of frequency distributions of inter-event intervals in the pooled output of several point processes where the points can be distinguished are investigated. In the case where the component processes are mutually independent, the p.d.f.'s of inter-event intervals in the pooled output are explicitly expressed, and the reciprocal relations on the p.d.f.'s and on the numbers of inter-event intervals are revealed.

Keywords

POOLED OUTPUTPOINT PROCESSDISTRIBUTION OF INTER-EVENT INTERVALRECIPROCAL RELATIONTEST OF DEPENDENCE
Type
Short Communications
Information
Journal of Applied Probability , Volume 14 , Issue 1 , March 1977 , pp. 200 - 204
Copyright
Copyright © Applied Probability Trust 1977 

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