Poisson distribution 

https://doi.org/10.1351/goldbook.P04707
A discrete distribution with the differential mass-distribution function of the form: fw(x)=xa+1=ea ax1(x1)! where x is a parameter characterizing the chain length, such as relative molecular mass or degree of polymerization and a is a positive adjustable parameter.
Source:
Purple Book, 1st ed., p. 56 [Terms] [Book]