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Bivariate stationary point processes, fundamental relations and first recurrence times

Published online by Cambridge University Press:  01 July 2016

T. K. M. Wisniewski
T. K. M. Wisniewski*
Affiliation:
Brunei University, Uxbridge, Middlesex
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Abstract

Various types of time and event sampling of a stationary and orderly bivariate point process are considered. Fundamental relations between inter-event intervals and the event counting process are derived. Relations between first forward recurrence times and their moments for different types of sampling are obtained.

Keywords

BIVARIATE POINT PROCESSRECURRENCE TIMESPALM KHINTCHINE FORMULAE
Type
Research Article
Information
Advances in Applied Probability , Volume 4 , Issue 2 , August 1972 , pp. 296 - 317
Copyright
Copyright © Applied Probability Trust 1972 

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