Example of the estimator of the mean of X which satisfy the following criteria:

1. unbiased+consistent

2. bias +consistent

3. unbiased + inconsistent

4. biased + inconsistent

5. most efficient estimator of testing mean of X

6. least efficient estimator of testing mean of X

Expert Solution

1. unbiased+consistent is sample mean T(X) = (X₁ + ... + X_n)/n.

2. bias +consistent is

3.unbiased + inconsistent is T(X)=Xn

4. biased + inconsistent is T(X)=(X₁ + ... + X_n) OR

5. most efficient estimator of testing mean of X is sample mean T(X) = (X₁ + ... + X_n)/n.

6. least efficient estimator of testing mean of X is Sample median

orchestra answered 2 years ago

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