Phrase guide

Poisson process

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A stochastic process in which events occur continually and independently of one another.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, probability-theory, sciences, statistics

Examples

  • 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 in Space-time Modelling of Natural Events, Springer, Lecture Notes in Statistics 207, page 88, 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 processes (for example, the shot noise process driven by a stationary Poisson process is identical to a Neyman-Scott Poisson cluster process, see p.171-172 in [12]).

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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.

Across languages

Translations

6 source translations are retained for this English entry.

  • Bulgarian: поасонов процес (poasonov proces) — stochastic process
  • German: Poisson-Prozess — stochastic process
  • Hebrew: תהליך פואסון (tahalích poasón) — stochastic process
  • Italian: processo di Poisson — stochastic process
  • Japanese: ポアソン過程 — stochastic process
  • Polish: proces Poissona — stochastic process