Question: For the model in Exercise 9, what is the probability limit of s 2 = 1/n n i=1 (y i ?? y) 2 ?

For the model in Exercise 9, what is the probability limit of s2= 1/n Σni=1(yi?? y̅)2? Note that s2is the least squares estimator of the residual variance. It is also n times the conventional estimator of the variance of the OLS estimator,

s2 Est. Var [y] = s(X'X)-1 =

How does this equation compare with the true value you found in part b of Exercise 9? Does the conventional estimator produce the correct estimator of the true asymptotic variance of the least squares estimator?

s2 Est. Var [y] = s(X'X)-1 =

Step by Step Solution

3.47 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Consider first y We saw earlier that Vary 2 n 2 i x i 2 2 n 1 n i x i 2 The expected value is E y E ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Econometric Analysis Questions!