Let X, X2,..., Xn be a sample of a population X with density function: 3x 03...

 

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Let X, X2,..., Xn be a sample of a population X with density function: 3x 03 0x 0 { 0 , elsewhere f(x; 0) = with unknown parameter 20. a. Find the maximum likelihood estimator @ for 0. b. Is the maximum likelihood estimator for unbiased? If not, create a new unbiased estimator for 0 based on the MLE 0. Let X, X2,..., Xn be a sample of a population X with density function: 3x 03 0x 0 { 0 , elsewhere f(x; 0) = with unknown parameter 20. a. Find the maximum likelihood estimator @ for 0. b. Is the maximum likelihood estimator for unbiased? If not, create a new unbiased estimator for 0 based on the MLE 0.