I've got this problem on multivariable distributions I'm stuck on...
Let denote a random sample of size n = 3 from a distribution with the geometric pdf
and given the distribution
Question find the pdf of then find .
Now I considered using the moment generating function for 3 reasons: (a) are a random sample size are independent (b) they have the same pdf thus mgf, and (c) well, mgf can be used for this.
So i started out like this:
Then I got stuck there... I presume I don't know how to "transform" variables in descrete distributions unlike continuous ones.
So any help is much appreciated!