Question: (25 points). Let X,..., X, be a random sample from the distribution of a random variable X with pdf: f(x)=(0,0)(x), 0>0. (a) Find the

(25 points). Let X,..., X, be a random sample from the distribution

(25 points). Let X,..., X, be a random sample from the distribution of a random variable X with pdf: f(x)=(0,0)(x), 0>0. (a) Find the method of moments estimator for . (b) Find the MLE for 0, and show that it is a consistent estimator for . (c) Find the MLE for if the range of parameter is restricted by 0

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