To find out, we can compare these counts to a Poisson distribution with an average value of 2. In the graph above, the blue bars represent the observed instances of 0,1,2,3.. mass shootings in a year.

Scott M. Lesch, Daniel R. Jeske, Some Suggestions for Teaching About Normal Approximations to Poisson and Binomial Distribution Functions, The American Statistician, Vol. 63, No. 3 (AUGUST 2009), pp.

An extension of MacArthur's "broken stick" model is proposed to explain why species abundances should be lognormally distributed. A method of fitting the compound Poisson lognormal distribution by ...

Quasi-Likelihood Functions For binomial and Poisson distributions, the scale parameter has a value of 1. The variance of Y is for the binomial distribution and for the Poisson distribution.