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Poisson distribution (English)

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Distribution of the number of rare events per unit. A discrete distribution denoted P ( λ) , defined by

P(X=r)=e^{− λ}

λ^r

r !

, r ∈ N , λ > 0 .

It has mean and variance λ; It has PGF G(t) = e^λ(t−1) .

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