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High Quality Content by WIKIPEDIA articles! A Poisson process, named after the French mathematician Siméon-Denis Poisson (1781 1840), is the stochastic process in which events occur continuously and independently of one another (the word event used here is not an instance of the concept of event frequently used in probability theory). Examples that are well-modeled as Poisson processes include the radioactive decay of atoms, telephone calls arriving at a switchboard, page view requests to a website, and rainfall.