Question: 9. Let X be a random variable with pmf: 2 -0 f(0) 2 f(1) - 7 f (2) - - Given an i.i.d sample of

an expression for the Method of Moments Estimator for 0, 0. (b)

9. Let X be a random variable with pmf: 2 -0 f(0) 2 f(1) - 7 f (2) - - Given an i.i.d sample of size n, X1, X2. ..., X..: (a) (4 points) Find an expression for the Method of Moments Estimator for 0, 0. (b) (6 points) Find an expression for the Maximum Likelihood Estimator for 0, 0.(c) (10 points) Even though Santiago doesn't recommend it, Boyle wants to make his own estimator for 0, 0. He will only use the first sample. X, as his estimator. (0 - XI ) Find an expression for the MSE of 0. Show all work

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