Poisson process

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

Noun

 * 1)  A stochastic process in which events occur continually and independently of one another.
 * 2) * 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 $$\lambda(t)$$ of the Poisson process vary according to a stochastic process, say $$\Lambda(t)$$.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]).
 * The doubly stochastic Poisson process, introduced by Cox in [9] and so named by Bartlett in [6] is obtained by letting the rate $$\lambda(t)$$ of the Poisson process vary according to a stochastic process, say $$\Lambda(t)$$.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]).

Translations

 * German: Poisson-Prozess
 * Hebrew: תהליך פואסון
 * Italian: processo di Poisson
 * Japanese: ポアソン過程