If X1, X2, and X3 constitute a random sample of size n=3 from a normal population with the mean m and the variance s2, find the efficiency of (X1+2X2+X4)/4 relative to (X1+X2+X3)/3.
If X1, X2, and X3 constitute a random sample of size n=3 from a normal population with the mean m and the variance s2, find the efficiency of (X1+2X2+X4)/4 relative to (X1+X2+X3)/3.
and are unbiased estimators for \mu. (As can be seen since and )