Theorem 7.4.7. Statistics for Negative Binomial Distribution.
For the Negative Binomial Distribution,
\begin{equation*}
\mu = \frac{r}{p}
\end{equation*}
\begin{equation*}
\sigma^2 = r \frac{1-p}{p^2}
\end{equation*}
\begin{equation*}
\gamma_1 = \frac{2-p}{\sqrt{r(1-p)}}
\end{equation*}
\begin{equation*}
\gamma_2 = \frac{p^2-6p+6}{r(1-p)} + 3
\end{equation*}