For the Student t variable T defined above,
\begin{equation*}
\mu = 0
\end{equation*}
and if r>2
\begin{equation*}
\sigma^2 = \frac{r}{r-2}
\end{equation*}
and if r>3
\begin{equation*}
\gamma_1 = 0
\end{equation*}
and if r>4
\begin{equation*}
\gamma_2 = \frac{6}{r-4} + 3.
\end{equation*}