A note on the history of the Poisson process

Tomasz Rolski

Antiquitates Mathematicae (2019)

  • Volume: 13
  • ISSN: 1898-5203

Abstract

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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.

How to cite

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Tomasz Rolski. "A note on the history of the Poisson process." Antiquitates Mathematicae 13 (2019): null. <http://eudml.org/doc/295112>.

@article{TomaszRolski2019,
abstract = {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.},
author = {Tomasz Rolski},
journal = {Antiquitates Mathematicae},
keywords = {Poisson process, point process, homogeneous process, counting process},
language = {eng},
pages = {null},
title = {A note on the history of the Poisson process},
url = {http://eudml.org/doc/295112},
volume = {13},
year = {2019},
}

TY - JOUR
AU - Tomasz Rolski
TI - A note on the history of the Poisson process
JO - Antiquitates Mathematicae
PY - 2019
VL - 13
SP - null
AB - 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.
LA - eng
KW - Poisson process, point process, homogeneous process, counting process
UR - http://eudml.org/doc/295112
ER -

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