poisson process
Word Rarity
Rare
Frequency: Zipf frequency 2.76 in modern English
20
Scrabble Score
14
Letters
3
Syllables
8
Unique Chars
Meaning
noun
A stochastic process in which events occur continually and independently of one another.
Example Sentences
- "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."
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.
Inflected Forms
Phrases
carrier space
Frequently Paired Words
carrier space
Synonyms
Poisson point field
Poisson point process
Poisson random measure
Poisson random point field