Poisson process

English Etymology From the related concept of en Poisson distribution (specifying a bounded subset of the domain of a Poisson process defines a random variable that has a Poisson distribution). See also en stochastic process. Noun en mathematics statistics probability theory A stochastic process in which events occur continually and independently of one another. en 1995 Randolph Nelson Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling https://books.google.com.au/books?id=9wtqv2VF7LMC&pg=PA252&dq=%22Poisson+process%22%7C%22Poisson+processes%22&hl=en&sa=X&ved=0ahUKEwiZpdmN_ZzWAhVHNbwKHYZTD6QQ6AEIXjAK#v=onepage&q=%22Poisson%20process%22%7C%22Poisson%20processes%22&f=false 252 Springer 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 of the Poisson process vary according to a stochastic process, say .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]). en 2014 Oliver Ibe Fundamentals of Applied Probability and Random Processes Elsevier (Academic Press) https://books.google.com.au/books?id=K10XAwAAQBAJ&pg=PA415&dq=%22Poisson+process%22%7C%22Poisson+processes%22&hl=en&sa=X&ved=0ahUKEwiZpdmN_ZzWAhVHNbwKHYZTD6QQ6AEI0gIwPQ#v=onepage&q=%22Poisson%20process%22%7C%22Poisson%20processes%22&f=false 415 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. Synonyms stochastic process of continuous, independent events en Poisson point field, en Poisson point process, en Poisson random measure, en Poisson random point field Translations stochastic process Bulgarian: bg поасонов процес m German: de Poisson-Prozess m Hebrew: he תהליך פואסון m tahalích poasón Italian: it processo di Poisson m Japanese: ja ポアソン過程 Polish: pl proces Poissona m See also en carrier space en eponyms