Raikov's theorem

Raikov’s theorem, named for Russian mathematician Dmitrii Abramovich Raikov, is a result in the probability theory. It is well known that if each of two independent random variables ξ 1 {\displaystyle \xi _{1}} and ξ 2 {\displaystyle \xi _{2}} has a Poisson distribution, then their sum ξ = ξ 1 + ξ 2 {\displaystyle \xi =\xi _{1}+\xi _{2}} has a Poisson distribution as well.

Source: Wikipedia — Raikov's theorem (CC BY-SA 4.0)

Raikov's theorem

Raikov’s theorem, named for Russian mathematician Dmitrii Abramovich Raikov, is a result in the probability theory. It is well known that if each of two independent random variables ξ 1 {\displaystyle \xi _{1}} and ξ 2 {\displaystyle \xi _{2}} has a Poisson distribution, then their sum ξ = ξ 1 + ξ 2 {\displaystyle \xi =\xi _{1}+\xi _{2}} has a Poisson distribution as well.

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Source: Wikipedia "Raikov's theorem" · CC BY-SA 4.0

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