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A discrete distribution defined on the non-negative integers that has the property that the mean is equal to the variance.

5 votes
1 answer
72 views

Questions around modelling arrival process of randomly sized groups

I have the following situation: I'm trying to model groups arriving to some location by some process. I assume the distribution on some interval $T$ is a Gamma-Poisson mixture where $\Lambda \sim Gamm …
1 vote
1 answer
44 views

Modelling Y=min(c,X) for different c

Assume I have a random variable $X \sim Poisson(\lambda)$ which models the potential nr of people entering some room. Now consider this room has a capacity $c$ so that whenever $X > c$ we observe $c$, …