(Solution Library) Let X 1 ,…..Xn be a random sample from a normal distribution, N(0, θ). Is the MLE, theta hat, an unbiased estimator of theta?


Question: Let X 1 ,…..Xn be a random sample from a normal distribution, N(0, \(\theta \) ).

  1. Is the MLE, theta hat, an unbiased estimator of theta?
  2. Is theta hat a UMVUE of theta?

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