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ONLY NUMBER 12 IS NEEDED. [10] Let xl=1[d, 0 s x S d. Derive the method of moments estimator for d based on a random

ONLY NUMBER 12 IS NEEDED.

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[10] Let xl=1[d, 0 s x S d. Derive the method of moments estimator for d based on a random sample of n values from this distribution. Is this estimator asymptotically unbiased? Show your work. [11] Using the same distribution as in [10], derive the maximum likelihood estimate for d from a random sample of n values from the distribution. Is this estimator asymptotically unbiased? Show your work. [12] Adjust the estimators in [10] and [11], if necessary, so that they are both unbiased. Report the relative efficiency of the unbiased version of the estimator in [10] to the unbiased version of the estimator in [11]

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