Is it possible to plot pdf from moments ??

#1
Hi guys,
I'm a mechanical engineering student and new to statistics. I'm facing a little bit of a problem with pdfs. I have used the Quadrature Method of Moments to find 6 moments of an unknown particle size distribution function.
I'd like to know if there is a way to plot the distribution from these moments that I have found out. Preferably a regular software like Matlab or any mathematical method.
I'd be very grateful for any help provided.
Thanks,
Shawn
 
#2
6 moments is too litle. But you can always approximate the pdf if you have enough momets produced through the moment generating function or the characteristic function. You just have to consider a discrete approximation of the inverse transformation.