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2/3 d) Is the maximum likelihood estimator B an unbiased estimator of B ? A If B is not an unbiased estimator of B, construct

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2/3 d) Is the maximum likelihood estimator B an unbiased estimator of B ? A If B is not an unbiased estimator of B, construct an unbiased estimator of B from B. N Is the method of moments estimator B an unbiased estimator of B? If B is not an unbiased estimator of B construct an unbiased estimator of B from B . Is B a consistent estimator of B? Justify your answer. (NOT enough to say \"because it is the maximum likelihood estimator\") Is B a consistent estimator of B? Justii your answer. (NOT enough to say \"because it is a method of moments estimator\") 5. Let B > 0 and let X 1, X2, ..., Xn be a random sample from a probability distribution with probability density function f (x; B ) = 0

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