0

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 $Poisson(\sum_1^n \lambda_i)$.

Monica.Coppo
  • 51
  • 2
  • 1
    https://proofwiki.org/wiki/Sum_of_Independent_Poisson_Random_Variables_is_Poisson – Nescrio Apr 22 '15 at 11:07
  • 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
  • Also [Poisson Distribution of sum of two random independent variables X, Y](http://math.stackexchange.com/q/221078) –  Apr 22 '15 at 11:32

0 Answers0