In: Statistics and Probability
Q4- Describe the moment generating function approach of deriving a gamma model with mean ?⁄? and variance ? ? 2 ⁄ using n independent and identically distributed exponential models.?
First we will find the mgf of X
and then calculate the mgf of gamma random variable Y using
unigueness property of MGF and then find the mean and variance of
gamma random variable using MGF obtained.