can you show your work for part (a)?
(b)for independent random variables:
where are random variables following a gamma distribution.
An insurance company receives i.i.d. claims where . Let . Suppose and
a) Find E(X), var(X): I got this part with and
b) Suppose that Xi is . Find the MGF of X:
I tried MGF(t)= because and the sum of independent variables' MGF is just the product of each MGF, but the results doesn't match part (a). Please help me out with this part. Thanks!
pp17-18 here have the formula you need to use: http://www.markirwin.net/stat110/Lecture/Section45.pdf