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Poisson process

Poisson process noun: a stochastic process in which events occur continually and independently of one another.

Noun

Poisson process (plural Poisson processes)

  1. A stochastic process in which events occur continually and independently of one another.
    • These properties are readily apparent when one considers that the Poisson process is derived from the binomial processes, which, as seen in Section 6.1, can be viewed in terms of coin tosses.1995, Randolph Nelson, Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling, Springer, page 252
    • The doubly stochastic Poisson process, introduced by Cox in [9] and so named by Bartlett in [6] is obtained by letting the rate λ(t) of the Poisson process vary according to a stochastic process, say Λ(t). […] There are instances of doubly stochastic Poisson processes that are identical to cluster...2012, Peter Guttorp, Thordis L. Thorarinsdottir, Chapter 4: Bayesian Inference for Non-Markovian Point Processes, Emilio Porcu, José–María Montero, Martin Schlather (editors), Advances and Challenges...
    Synonyms:
    Poisson point field, Poisson point process, Poisson random measure, Poisson random point field

Synonyms of Poisson process

  • Poisson point field
  • Poisson point process
  • Poisson random measure
  • Poisson random point field

Forms of Poisson process

pluralPoisson processes

Origin of Poisson process

From the related concept of Poisson distribution (specifying a bounded subset of the domain of a Poisson process defines a random variable that has a Poisson distribution). See also stochastic process.

Questions about Poisson process

What does Poisson process mean?
Poisson process means a stochastic process in which events occur continually and independently of one another.
What part of speech is Poisson process?
Poisson process is a noun.
What is the plural of Poisson process?
The plural of Poisson process is Poisson processes.

Words near Poisson process in the dictionary

  1. Poisson distributions
  2. Poisson effect
  3. Poisson effects
  4. Poisson noise
  5. Poisson noises
  6. Poisson process
  7. Poisson processes
  8. Poisson spot
  9. Poisson spots
  10. Poisson's ratio
  11. Poisson's ratios

Source and license

Adapted from Wiktionary: Poisson process (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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