# Math Help - Probability Weighted Moments

1. ## Probability Weighted Moments

Need Help Finding The First 4 PWM of the generalized normal distribution

f(x)= $
\frac{1}{\alpha\sqrt{2\pi}}e^{ky-\frac{y^2}{2}}

$

where
$
y= -k^{-1}log(1-k(x-\epsilon)/\alpha)
$

$
\epsilon+\frac{\alpha}{k}$

F(x)= $
\int^{y}_{-\infty} e^{\frac{-t^2}{2}}~dt
$