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Orderliness, intensities and Palm-Khinchin equations for multivariate point processes

Published online by Cambridge University Press:  14 July 2016

D. J. Daley  and
R. K. Milne
D. J. Daley
Affiliation:
Australian National University
R. K. Milne
Affiliation:
University of Western Australia
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Abstract

Simple definitions and derivations of elementary properties are given for the various intensities and Palm-Khinchin functions associated with a multivariate point process.

Keywords

POINT PROCESSMULTIVARIATE POINT PROCESSINTENSITYORDERLINESSPALM-KHINCHIN FUNCTIONPALM FUNCTION
Type
Short Communications
Information
Journal of Applied Probability , Volume 12 , Issue 2 , June 1975 , pp. 383 - 389
Copyright
Copyright © Applied Probability Trust 1975 

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References

Daley, D. J. and Vere-Jones, D. (1972) A summary of the theory of point processes. In Stochastic Point Processes , (Lewis, P. A. W. (Ed.)) Wiley, New York, 299–383.Google Scholar
Leadbetter, M. R. (1966) On streams of events and mixtures of streams. J. R. Statist. Soc. B 28, 218–227.Google Scholar
Ryll-Nardzewski, C. (1961) Remarks on processes of calls. Proc. Fourth Berkeley Symp. Math. Statist. Prob. 2, 455–465.Google Scholar
Wisniewski, T. K. M. (1972) Bivariate stationary point processes, fundamental relations, and first recurrence times. Adv. Appl. Prob. 4, 296–317.Google Scholar