Question: Let B > 0, and let X1, X2, ..., Xn be a random sample from the distribution with probability density function f(x; B) - 12

Let B > 0, and let X1, X2, ..., Xn be a random sample from the distribution with probability density function f(x; B) - 12 (a) Obtain the maximum likelihood estimator of 3, 3. (b) Is the maximum likelihood estimator of 3, 3, an unbiased estimator of 3? (c) Find MSE(3) - (bias(B) )2 + Var(B). (d) Find a closed-form expression for E(X* ) for k > -2. (e) Obtain a method of moments estimator of B, B. (f) Is the method of moments estimator of 3, 3, an unbiased estimator of B

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