Given $X_i$ takes a Poisson distribution with parameter $\lambda$, what it the distribution of a sum of $n$ of these independent $X_i$?

Asked Mar 28 '20 at 15:28

Active Mar 28 '20 at 16:00

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My thoughts are that $X$ itself would follow a Poisson distribution?

edited Mar 28 '20 at 16:00

user729424

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asked Mar 28 '20 at 15:28

math10101012314

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What brought you to think that? – MasB Mar 28 '20 at 15:37
A google search gives https://math.stackexchange.com/questions/221078/poisson-distribution-of-sum-of-two-random-independent-variables-x-y. – StubbornAtom Mar 28 '20 at 15:47

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