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Superposition of distinguishable point processes

Published online by Cambridge University Press:  14 July 2016

Yoshifusa Ito*
Affiliation:
Nagoya University

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.

Information

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1977 

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