On the superposition ofm-dimensional point processes
- 1 April 1968
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 5 (1) , 169-176
- https://doi.org/10.2307/3212084
Abstract
Considernindependent vector valued point processes. Superposition is defined component by component as a natural extension of the definition for the one-dimensional case. Under proper conditions asn →∞, it is shown that the superposed process is a many-dimensional Poisson process with independent components. The results are applied to the superposition of Markov renewal processes.Keywords
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