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


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).

(a) Find the variances of theta 1 hat and theta 2 hat.

(b) Find the MSEs of theta 1 hat and theta 2 hat.

(c) Compare the variances of theta 1 hat and theta 2 hat for n = 2.

(d) Compare the MSEs of theta 1 hat and theta 2 hat for n = 2.

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Solution: The answer consists of 2 pages
Deliverables: Word Document

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