Meaning of Poisson process | Babel Free

Definitions

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

Equivalents

Examples

“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.”

“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]).”

“University buses arrive⟳ at the Students Center to take⟳ students to their classes according to a Poisson process⟳ with an average rate of 5 buses per hour.”

CEFR level