Question:-01 (b)

1.State whether the following statement are True or False and also give the reason in support of your answer.

(b) If \(T_{1}\) and \(T_{2}\) are two estimators of an parameter \(\theta\) such that \(\operatorname{Var}\left(T_{1}\right)=1 / 2 n\) and \(\operatorname{Var}\left(T_{2}\right)=2 / n\) then \(T_{1}\) is more efficient than \(T_{2}\).

Solution

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