[See Solution] Let X1,…..Sn be a random sample from EXP (theta) and define theta 1 hat = X bar and theta 2 hat = nX bar / (n+1). Find the variances of theta


Question: Let X1,…..Sn be a random sample from EXP (theta) and define theta 1 hat = X bar and theta 2 hat = nX bar / (n+1).

  1. Find the variances of theta 1 hat and theta 2 hat.
  2. Find the MSEs of theta 1 hat and theta 2 hat.
  3. Compare the variances of theta 1 hat and theta 2 hat for n = 2.
  4. Compare the MSEs of theta 1 hat and theta 2 hat for n = 2.

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