A note on the history of the Poisson process
Antiquitates Mathematicae, Tome 13 (2019).
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.
Source: 
@article{ANME_2019__13_295112,
     author = {Tomasz Rolski},
     title = {A note on the history of the {Poisson} process},
     journal = {Antiquitates Mathematicae},
     volume = {13},
     year = {2019},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/ANME_2019__13_295112/}
}
TY  - JOUR
AU  - Tomasz Rolski
TI  - A note on the history of the Poisson process
JO  - Antiquitates Mathematicae
PY  - 2019
VL  - 13
UR  - https://geodesic-test.mathdoc.fr/item/ANME_2019__13_295112/
LA  - en
ID  - ANME_2019__13_295112
ER  - 
%0 Journal Article
%A Tomasz Rolski
%T A note on the history of the Poisson process
%J Antiquitates Mathematicae
%D 2019
%V 13
%U https://geodesic-test.mathdoc.fr/item/ANME_2019__13_295112/
%G en
%F ANME_2019__13_295112
Tomasz Rolski. A note on the history of the Poisson process. Antiquitates Mathematicae, Tome 13 (2019). https://geodesic-test.mathdoc.fr/item/ANME_2019__13_295112/