I'd like to model proportion of certain species in a popualtion with Borel-Tanner distribution: $\frac{e^{-m}m^{m-1}}{m!}$, its support is defined on $\{1,2,...\}$, but I need finite bound. Could anyone help me with finding the finite sum $\sum_{m=1}^{n}\frac{e^{-m}m^{m-1}}{m!}$?
Borel-Tanner distribution with finite bound
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probability-distributions
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0I need $t$he sum $\sum_{m=1}^{\mu} \f$r$ac{e^{-m}m^{m-1}}{m!}$, and I haven'$t$ found it so fa$r$ – 2011-05-24