Poisson distribution

Epic card · No. 13070

In probability theory and statistics, the Poisson distribution (US: pwahss-ON, UK: PWA(H)SS-on) is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time if these events occur with a known constant mean rate and independently of the time since the last event. It can also be used for the number of events in other types of intervals than time, and in dimension greater than 1 (e.g., number of events in a given area or volume). The Poisson distribution is named after French mathematician Siméon Denis Poisson. It plays an important role for discrete-stable distributions. Under a Poisson distribution with the expectation of λ events in a given interval, the probability of k events in the same interval is: λ k e...

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