A characterization of the Poisson process
- 1 March 1974
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 11 (1) , 72-85
- https://doi.org/10.2307/3212584
Abstract
Theorem: A necessary and sufficient condition for the superposition of two ordinary renewal processes to again be a renewal process is that they be Poisson processes.A complete proof of this theorem is given; also it is shown how the theorem follows from the corresponding one for the superposition of two stationary renewal processes.Keywords
This publication has 2 references indexed in Scilit:
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- Higher-Order Properties of a Stationary Point ProcessJournal of the Royal Statistical Society Series B: Statistical Methodology, 1963