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08/25/10 11:26pm


Can anyone help with how I'd program the below into Mathematica to get the solution?

Let Xi, i = 1, 2 be independent random variables (i.r.v.ís) having Gamma distribution with parameters (3, 1/2), i.e., Xi ~ Gamma(3, 1/2).

(i) Using characteristic functions and the inversion formula find the probability density function (pdf) of Y = X1 − X2.

(ii) Find also E(Y^4).

2) Do the same task for iid r.v.ís with the Cauchy distribution.

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