more Estimation....

Michelle

New Member
This question asks for relative efficiency..
X and Y are random sample from a population with mean mu and variance sigma squared. (assume that X and Y are indeoendently distributed).
Consider the following two point estimators of the population mean.
1)0.31X+ 0.69Y
2)0.37X+ 0.63Y

(both estimators should be unbiased.

Question is find the relative effiency:
THe formula is
Var (theta2)
-----------
Var (theta 1)

I would appreciate yourhelp.