Item

Description

Expression

1

E(X)

$\mu +\beta \frac{\delta }{\gamma }$

2

var(X)

$\frac{{\alpha }^2\delta }{{\gamma }^3}$

3

Skewness, ${\gamma }_1$

$\frac{3\beta }{\alpha {\left(\delta \gamma \right)}^{\frac{1}{2}}}$

4

Excess Kurtosis, ${\gamma }_2$

$\frac{3\left(1+4\frac{{\beta }^2}{{\alpha }^2}\right)}{\delta \gamma }$