If we have a moment generating function, $M_X(t)=(1-\frac{t}{\alpha})^{-\beta}$ where $\alpha$ is any positive number $\alpha\in\mathbb{R}$ and $\beta$ is any positive integer, how do we find $E(X^k)$?
general expression for moment-generating function expected value
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probability
probability-distributions
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2Would you kindly review answers extended to you in 25 out of 37 questions and accept some of them. – 2012-04-26