Geodesic
A note on the history of the Poisson process
Antiquitates Mathematicae, Volume 13 (2019), pp. 3-17

See the original article notice from the Annales Societatis Mathematicae Polonae Series source

This note reviews how the contemporary concept of the Poisson process (sometimes called the Poisson random measure or Poisson point process) evolved through out the time up to recent times. That is from F. Lundberg and W. Feller up to A. Renyi (1967) paper and finally, a construction of Poisson processes by binomial (or Bernoulli) processes, which can be found in J.E. Moyal (1962), J. Mecke (1967) and J.F. Kingman (1967) papers. Also in C. Ryll-Nardzewski (1953) this construction was used in the proof of Theorem for homogeneous Poisson processes.
DOI: 10.14708/am.v13i1.6519
Classification: 60G55 (60D05 60F05 60G57 60H05)
Keywords: Poisson process, point process, homogeneous process, counting process 
Tomasz Rolski. A note on the history of the Poisson process. Antiquitates Mathematicae, Volume 13 (2019), pp.  3-17. doi: 10.14708/am.v13i1.6519
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