The Poisson distribution is a discontinuous distribution which was described by the French mathematician Siméon Denis Poisson (1781-2013;1840) in a book published in 1837. The Poisson distribution is a particular case of the binomial distribution (chapter 17) where the probability p becomes smaller and smaller (p → 0) while the exponent k becomes larger and larger (k → ∞) in such a way that their product, the mean, μ= kp, keeps a finite value (0 < μ = kp < ∞). The Poisson distribution might thus be defined by the following equation
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