5. Let Y1, Y2, ...Yn i.i.d. ∼ f(y; α) = 1/6( α^8 y^3) · e ^(−α...

5. Let Y1, Y2, ...Yn i.i.d. ∼ f(y; α) = 1/6( α^8 y^3) · e ^(−α 2y) , 0 ≤ y < ∞, 0 < α < ∞.

(a) (8 points) Find an expression for the Method of Moments estimator of α, ˜α. Show all work.

(b) (8 points) Find an expression for the Maximum Likelihood estimator for α, ˆα. Show all work.

Expert Solution

orchestra answered 2 years ago

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