Question: Multivariate Statistical Analysis Proof (3 bonus points) Consider an arbitrary random variable Z with E[ Z] being finite for all positive integers n. Similar to

Multivariate Statistical Analysis Proof

Multivariate Statistical Analysis Proof (3 bonus points) Consider an arbitrary random variable

(3 bonus points) Consider an arbitrary random variable Z with E[ Z"] being finite for all positive integers n. Similar to (d.ii), define hz(t) = E[exp(tZ)], and let hy (t) denote the n-th derivative of hz(t) for each n. Show that he (0) = E[Z" ] for each n

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