Let $X$ be a Gaussian distributed random variable. For physical reasons, I'm interested here in the PDF of a cubic-inversed Gaussian distribution, so:
$Y \to 1/X^3$
I'm certain about the Inversed Gaussian Distribution/Wald Distribution, but I don't have a clue, how I can derive the PDF for my case. Does a solution exist for this problem?
Thank you in advance! I'm appreciating any help and hints!