I would like to know how to compute a probability function of a convolution of Negative Binomial distribution with Maple.
Here is an easy example of what I want to do : '
With(Statistics): X[1]:=RandomVariable(NegativeBinomial(2,0.5)): X[2]:=RandomVariable(NegativeBinomial(6,0.3)): S:=X[1]+X[2]: ProbabilityFunction(S,0);
If I ask for the Mean, it works fine with Mean(S) but when I ask for the Probability Function, Maple gives me "FAIL" as answer.
Thank you!
Jean-Philippe