With some help, I have confirmed this: In the above case, the four variables have a uniform Dirichlet distribution (=flat Dir), for a standard "3-simplex".
This might be a stupid question, but however...
I have randomly picked three variables (between 0-1) from an equal distribution. I let them form the "breaking points" on an imagined stick of the length 1.
Do the four "pieces" obtained (which together sum up to 1, ofcourse) represent a set of variables from a flat dirichlet distribution?
Thank you in advance for any help!!!