Some multivariate generalizations of results in univariate stationary point processes

1 June 1977

journal article
research article
Published by Cambridge University Press (CUP) in Journal of Applied Probability

Vol. 14 (04) , 748-757
https://doi.org/10.1017/s0021900200105285

Abstract

Some relationships are derived between the asynchronous and partially synchronous counting and interval processes associated with a multivariate stationary point process. A few examples are given to illustrate some of these relationships.

Keywords

POINT PROCESS
MULTIVARIATE POINT PROCESS
STATIONARITY
MARKOV RENEWAL PROCESS
ORDERLINESS
STRONG ORDERLINESS

This publication has 2 references indexed in Scilit:

Orderliness, intensities and Palm-Khinchin equations for multivariate point processes
Journal of Applied Probability, 1975
Markov renewal theory
Advances in Applied Probability, 1969