$\begin{array}{l}Poisson\text{\hspace{0.17em}}\left(\theta \right)\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{\hspace{0.17em}}\frac{1}{x!}\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{\hspace{0.17em}}\theta \text{ }\text{ }\text{ }\text{ }\text{\hspace{0.17em}}\text{ }\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{ }{\text{e}}^{\theta }\\ Binomial\text{\hspace{0.17em}}\left(n,\text{\hspace{0.17em}}\theta \right)\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{\hspace{0.17em}}\text{\hspace{0.17em}}\left(\begin{array}{c}n\\ x\end{array}\right)\text{ }\text{ }\text{ }\text{ }\text{ }\text{\hspace{0.17em}}\frac{\theta }{1+\theta }\text{ }\text{ }\text{ }\text{ }\text{ }\text{\hspace{0.17em}}{\left(1+\theta \right)}^{n}\\ Logarithmic\text{\hspace{0.17em}}\left(\theta \right)\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{\hspace{0.17em}}\text{\hspace{0.17em}}\frac{1}{x}\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{\hspace{0.17em}}\text{\hspace{0.17em}}\theta \text{ }\text{ }\text{ }\text{ }\text{ }-\mathrm{ln}\left(1-\theta \right)\\ Neg.\text{\hspace{0.17em}}\text{\hspace{0.17em}}Binomial\text{ }\text{ }\text{ }\text{ }\text{ }\left(\begin{array}{c}k+x-1\\ x\end{array}\right)\text{ }\text{ }\text{ }\text{ }\text{ }\theta \text{ }\text{ }\text{ }\text{ }\text{ }\text{\hspace{0.17em}}\text{ }{\left(1-\theta \right)}^{-k}\end{array}$