How can I show that the sum of n independet poisson random variables is a poisson random variable? I need to conclude that the sum of i.r.v with distribution $Poisson(\lambda_i)$, i=1,...,n, is $Poisson(\sum_1^n \lambda_i)$.
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1https://proofwiki.org/wiki/Sum_of_Independent_Poisson_Random_Variables_is_Poisson – Nescrio Apr 22 '15 at 11:07
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http://math.stackexchange.com/questions/580284/how-to-show-that-the-sum-of-two-poisson-random-variables-is-a-poisson-random-var – Nescrio Apr 22 '15 at 11:09
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Also Poisson Distribution of sum of two random independent variables X, Y – Apr 22 '15 at 11:32