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About: Raikov's theorem     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatStatisticalTheoremsyago:Abstraction100002137yago:Communication100033020yago:Message106598915yago:Proposition106750804yago:Statement106722453yago:Theorem106752293yago:WikicatProbabilityTheorems New Facet based on Instances of this Class

Raikov’s theorem, named for Russian mathematician Dmitrii Abramovich Raikov, is a result in probability theory. It is well known that if each of two independent random variables ξ1 and ξ2 has a Poisson distribution, then their sum ξ=ξ1+ξ2 has a Poisson distribution as well. It turns out that the converse is also valid.