$$\begin{array}{rcl}\text{mean}& =& \nu +\lambda \\ \text{variance}& =& 2\left(\nu +2\lambda \right)\\ \text{skewness}& =& \frac{2^{\frac{3}{2}}\left(\nu +3\lambda \right)}{{\left(\nu +2\lambda \right)}^{\frac{3}{2}}}\end{array}$$