Definition:Poisson Distribution/Also denoted as

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Poisson Distribution: Also denoted as

Some sources denote the Poisson distribution as:

$X \sim \map {\operatorname {Pois} } \lambda$


Some sources use $\mu$ instead of $\lambda$, but this can cause confusion with instances where $\mu$ is used for the expectation.

However, as the expectation of $\Poisson \lambda$ is also $\lambda$, this may not be as much of a confusion as all that.